Mid to far infrared diamond Raman laser systems and methods
09882344 ยท 2018-01-30
Assignee
Inventors
Cpc classification
H01S3/30
ELECTRICITY
H01S3/1086
ELECTRICITY
H01S3/094084
ELECTRICITY
H01S3/1691
ELECTRICITY
International classification
Abstract
A mid- to far-infrared solid state Raman laser system comprising a resonator cavity comprising: an input reflector adapted to be highly transmissive for light with a first wavelength in the range of about 3 to about 7.5 micrometers for admitting the first beam to the resonator cavity; and an output reflector adapted to be partially transmissive for light with a second wavelength greater than about 5.5 micrometers for resonating the second wavelength in the resonator and for outputting an output beam, the input reflector further being adapted to be highly reflective at the second wavelength for resonating the second wavelength in the resonator; and a solid state diamond Raman material located in the resonator cavity for Raman shifting the pump beam and generating the second wavelength.
Claims
1. A solid-state Raman laser system comprising: a pump source for generating an input beam having an infrared wavelength in the range between 3 micrometers and 7.5 micrometers, wherein the pump source is adapted to generate a pulsed pump beam comprising pump pulses at a first wavelength of intensity between about 0.1 GW/cm.sup.2 and about 60 GW/cm.sup.2 and a pulse width between about 1 ns and 100 ns; a solid-state diamond Raman material, the laser system being adapted to generate a Raman shifted output beam having an output wavelength in the range of 5.5 to 100 micrometers and being on the long wavelength side of a two-phonon absorption band in the solid-state diamond Raman material, the solid-state diamond Raman material having a nitrogen impurity content less than 10000 ppb.
2. A laser system as claimed in claim 1 wherein the output wavelength is in the range of between about 6 and about 12 micrometers.
3. A laser system as claimed in claim 1 wherein the output wavelength is in the range of between about 6 and about 8 micrometers.
4. A laser system as claimed in claim 1 wherein the first wavelength is on the short wavelength side of the two-phonon absorption band.
5. A laser system as claimed in claim 1 wherein the Raman shifted output beam is at a wavelength corresponding to a first Stokes shift in the Raman material.
6. A laser system as claimed in claim 1 wherein the pulse width is between about 1 ns and 10 ns.
7. A laser system as claimed in claim 1 wherein the input pump beam has a linewidth with a full width half maximum of less than 2 cm.sup.1.
8. A mid- to far-infrared solid-state Raman laser system comprising: a pump source for generating a pump beam having a first wavelength in the range of 3 micrometers to 7.5 micrometers and being a pulsed pump beam comprising pump pulses at the first wavelength of intensity between 0.1 GW/cm.sup.2 and 60 GW/cm.sup.2 and a pulse width between about 1 ns and 100 ns; a resonator cavity comprising: an input reflector adapted to be highly transmissive for light with the first wavelength for admitting the pump beam with the first wavelength into the resonator cavity; a solid-state diamond Raman material located in the resonator cavity for Raman shifting the pump beam and generating a second wavelength in the range of 5.5 to 100 micrometers and being on the long wavelength side of a two-phonon absorption band in the solid-state diamond Raman material, the solid state Raman material having a nitrogen impurity content less than 10000 ppb; and an output reflector adapted to be partially transmissive for light with the second wavelength on the long wavelength side of the two phonon-absorption band for resonating the second wavelength in the resonator without two-phonon absorption within the solid-state diamond Raman material and for outputting an output beam, the input reflector further being adapted to be highly reflective at the second wavelength for resonating the second wavelength in the resonator.
9. A system as claimed in claim 8 wherein the output reflector is between about 1% and about 80% transmissive at the second wavelength.
10. A system as claimed in claim 8 wherein the output reflector is between 20% and 50% transmissive at the second wavelength.
11. A system as claimed in claim 8 wherein the first wavelength is on the short wavelength side of the two-phonon absorption band.
12. A system as claimed in claim 8 wherein the Raman material is an undoped Raman material.
13. A system as claimed in claim 8 wherein the Raman material is either a single-crystal diamond material or an isotopically pure diamond material.
14. A system as claimed in claim 13 wherein the diamond Raman material is derived from a chemical vapour deposition fabrication process.
15. A system as claimed in claim 8 wherein the resonator cavity is a high finesse resonator cavity for light at the second wavelength, the finesse of the resonator cavity at the second wavelength being greater than 100.
16. A system as claimed in claim 8 wherein the second wavelength is either a first order Stokes wavelength, or a second order Stokes wavelength or any combination thereof.
17. A system as claimed in claim 8 wherein the laser system is a side-pumped laser system or a non-collinearly pumped laser system.
18. A laser system as claimed in claim 8 wherein the pump laser source is selected from the group of: an optical parametric oscillator, a solid state Raman-shifted thulium laser, a solid state Raman-shifted holmium laser, and a solid state Raman-shifted erbium laser.
19. A laser system as claimed in claim 8, wherein the Raman material comprises a waveguide for guiding light at the first and/or second wavelengths in the resonator cavity.
20. A laser system as claimed in claim 8 wherein the first wavelength is derived from a tunable source such that the second wavelength is tunable by tuning the first wavelength.
21. A laser system as claimed in claim 20 wherein the second wavelength is tunable through the range of about 5.5 micrometers to about 100 micrometers.
22. A laser system as claimed in claim 21 wherein the second wavelength is continuously tunable through the range of about 5.5 micrometers to about 100 micrometers.
23. A method of laser treatment using a laser system as claimed in claim 8, the method comprising: providing the pump beam at a first wavelength of about 3.47 micrometers; directing the pump beam into the resonator cavity and incident on the Raman material thereby inducing stimulated Raman scattering in the Raman material and generating the output beam with a second wavelength of about 6.45 micrometers; and directing the output beam to a selected treatment area to perform a laser treatment to the treatment area.
24. A method of laser treatment as claimed in claim 23 wherein the method is adapted for neurosurgery.
25. A laser system as claimed in claim 5 wherein the first wavelength is on the short wavelength side of the two-phonon absorption.
26. A method of remote sensing using a laser system as claimed in claim 8, the method comprising: providing the pump beam at a first wavelength in the range of 3 to 7.5 micrometers; directing the pump beam into the resonator cavity and incident on the Raman material thereby inducing stimulated Raman scattering in the Raman material and generating the output beam having a second wavelength in the range of about 5.5 micrometers to about 100 micrometers; outputting the second wavelength from the resonator cavity as an output beam; directing the output beam towards an object or into an environment where an object or environmental substance is suspected to be located; detecting backscattered radiation from the object or environmental substance; and processing the detected radiation thereby sensing the presence or absence of the object or environmental substance.
27. A method for generating a mid- to far-infrared beam in a solid-state Raman laser system comprising: generating a pump beam having a first wavelength in the range of 3 micrometers to 7.5 micrometers and being a pulsed pump beam comprising pump pulses at the first wavelength of intensity between about 0.1 GW/cm.sup.2 and about 60 GW/cm.sup.2 and a pulse width between about 1 ns and 100 ns; providing a resonator cavity comprising: an input reflector adapted to be highly transmissive for light with the first wavelength for admitting the pump beam with the first wavelength into the resonator cavity; a solid-state diamond Raman material located in the resonator cavity for Raman shifting the pump beam and generating a second wavelength in the range of 5.5 to 100 micrometers and being on the long wavelength side of a two-phonon absorption band in the solid-state diamond Raman material; and an output reflector adapted to be partially transmissive for the second wavelength on the long wavelength side of the two-phonon absorption band for resonating the second wavelength in the resonator without two-phonon absorption within the solid-state diamond Raman material and for outputting an output beam, the input reflector further being adapted to be highly reflective at the second wavelength for resonating the second wavelength in the resonator, the solid-state diamond Raman material having a nitrogen impurity content less than 10000 ppb; directing the pump beam with the first wavelength into the resonator cavity and incident on the Raman material thereby inducing stimulated Raman scattering in the Raman material and generating the second wavelength; and outputting the output beam with the second wavelength from the resonator cavity.
28. A mid- to far-infrared solid state Raman laser system comprising: a pump source for generating a pump beam having a first wavelength in the range of 3 micrometers to 7.5 micrometers and being a pulsed pump beam comprising pump pulses at the first wavelength of intensity between 0.1 GW/cm.sup.2 and 60 GW/cm.sup.2 and a pulse width between about 1 ns and 100 ns; a resonator cavity comprising: an input reflector adapted to be highly transmissive for light with the first wavelength for admitting the pump beam with the first wavelength into the resonator cavity; and an output reflector adapted to be partially transmissive for light with a second wavelength in the range of 5.5 to 100 micrometers for resonating the second wavelength in the resonator and for outputting an output beam, the input reflector further being adapted to be highly reflective at the second wavelength for resonating the second wavelength in the resonator; a solid-state diamond Raman material located in the resonator cavity for Raman shifting the pump beam and generating the second wavelength, the solid-state diamond Raman material having a nitrogen impurity content less than 10000 ppb; and a heat sink in thermal contact with the solid-state diamond Raman material and operable to cool the solid-state diamond Raman material to reduce two-phonon absorption therein.
29. A method comprising the steps of: generating a pump beam for a solid-state Raman laser system comprising: a diamond Raman material and adapted to generate a Raman shifted output beam having an output wavelength in the range of 5.5 to 100 micrometers and being on the long wavelength side of a two-phonon absorption band in the solid-state diamond Raman material, the diamond Raman material having a nitrogen impurity content less than 10000 ppb, the pump beam having a first wavelength in the range of 3 micrometers to 7.5 micrometers and being a pulsed pump beam comprising pump pulses at the first wavelength of intensity between 0.1 GW/cm.sup.2 and 60 GW/cm.sup.2 and a pulse width between about 1 ns and 100 ns.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Arrangements of the Raman laser system will now be described, by way of an example only, with reference to the accompanying drawings wherein:
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DETAILED DESCRIPTION
(28) Disclosed herein are Raman laser systems for generation of output radiation in the mid- to far-infrared spectral region of the spectrum (greater than about 5.5 m), extending to the terahertz region (greater than 100 m). In particular, the laser systems disclosed comprises a solid state diamond Raman material for Raman shifting a first wavelength by stimulated Raman scattering in the Raman material to generate the mid- to far-infrared output radiation from the laser system. Both external Raman laser systems and internal Raman laser systems are envisaged for generation of the output radiation. The diamond Raman material may be single crystal diamond, or polycrystalline diamond. Alternatively, the diamond Raman material may comprise more than one single crystal, which may be bonded to each other by an adhesive-free process such as diffusion bonding. The Raman Material may be low birefringence diamond. The diamond Raman material may have low nitrogen impurity content, for example less that 10000 ppb, or less than 5000 ppb, or less than 1000 ppb, or less than 500 ppb, or less than 200 ppb less than 150 ppb or less than 120 ppb or less than 100 ppb of nitrogen impurities in the diamond material, thereby to minimise absorption losses (e.g. for the Raman-shifted output radiation) in the 7 to 11 m region. The nitrogen impurity content may be between about 0.1 ppb and about 10000 ppb, or between 0.1 ppb and 500 ppb or between about 0.1 ppb and about 200 ppb, for example about 0.1 ppb, or 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1, 2, 3, 4, 5, 10, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1250, 1500, 1750, 2000, 2500, 3000, 3500, 4000, 4500, 5000, 5500, 6000, 6500, 7000, 7500, 8000, 8500, 9000, 9500 or about 10000 ppb. The Raman material may be either polycrystalline or single crystal diamond. The Raman material may be low birefringence diamond. The diamond Raman material may have low nitrogen impurity content.
(29) Raman lasers rely on the phenomenon of stimulated Raman scattering (SRS) for optical amplification in the laser resonator. Input pump photons of a first wavelength having a wavelength .sub.1 and frequency .sub.1=.sub.p=.sub.1/c (where c is the speed of light) excite a normal mode of vibration in the crystal lattice of the Raman material and the remaining energy is carried away as Stokes shifted photons of a second wavelength .sub.2 and with frequency .sub.2=.sub.s=.sub.2/c. The first and second wavelengths may also be expressed in terms of wavenumbers, .sub.1=1/.sub.1 and .sub.2=1/.sub.2 respectively and are expressed in units of reciprocal centimeters [cm.sup.1]). The Raman-converted (down-shifted) Stokes wavelength, .sub.2=1/.sub.2, may be determined for a given pump wavelength, .sub.1=1/.sub.1, by the relation .sub.2=.sub.1.sub.R (with each of .sub.1, .sub.2 and .sub.R expressed in units of [cm.sup.1]), where .sub.R is the characteristic Raman shift of the Raman material. For example in diamond, the characteristic Raman frequency is .sub.R1332 cm.sup.1.
(30) In solid state materials, the probability for Raman scattering is higher for materials that change in polarizability, , with small displacements dq in the lattice vibration i.e., for large d/dq. The rate of change of the polarizability, d/dq, is a measure of the amount of distortion experienced by the electron cloud in the Raman material as a result of the incident light and its square, (d/dq).sup.2, is directly proportional to the spontaneous Raman cross-section.
(31) SRS requires the interaction of a Stokes photon with two pump photons and is thus a third-order nonlinear optical process (similar to the nonlinear processes of third harmonic generation, four-wave mixing and two-photon absorption). Amplification of the Stokes field intensity I.sub.s with Stokes frequency .sub.s as it propagates through the Raman medium on the z-axis is given by the relation
dI.sub.s/dz=g.I.sub.p.I.sub.s(1)
where I.sub.p is the intensity of the pump field with wavelength .sub.p=.sub.1, I.sub.S is the intensity of the Raman shifted Stokes field with wavelength .sub.S=.sub.2, and the gain coefficient g is proportional to (d/dq).sup.2.
(32) Under steady-state conditions where the pump pulse duration is greater than the dephasing time, T.sub.2, in which coherent lattice phonons remain in the material, the Raman gain coefficient is given by the relation:
g=k/m..sub.s.(d/dq).sup.2.T.sub.2(2)
where m is the reduced mass of the vibrating atoms and k is a constant (however, for pump pulses of duration comparable or shorter than the phonon dephasing time T.sub.2, the rate of accumulation of coherent phonons needs to be considered and the effective gain is reduced).
(33) Diamond has an exceptionally high Raman gain coefficient owing to high values of both (d/dq).sup.2/m and T.sub.2. There are several interesting characteristics of Raman lasers worth noting:
(34) 1) The equations for Raman amplification are closely analogous to conventional laser gain involving a population inversion. In the Raman case, the spontaneous Raman cross-section is analogous to the stimulated emission cross-section material parameter and the population inversion term is replaced by I.sub.p.
(35) 2) Since gain is only present while a pump field is present, there is generally close temporal overlap between the output and pump pulses. As a result Raman lasers are often thought of as a nonlinear optical converters. Laser energy is not stored in the medium in the same way as population absorption lasers.
(36) 3) In contrast to nonlinear optical conversion process such as harmonic generation and four-wave mixing, Raman generation is automatically phase matched. That is, momentum is conserved in the interaction essentially independent of the momentum vectors of the pump and output beam. Momentum is conserved in the interaction since the scattered phonon in the Raman material carries away any recoil and consequently Raman lasers have several important properties. The phase properties of the Raman beam are constrained by design of the Raman resonator and as a result the spatial properties of the Raman output beam are often better than the pump, a property that enables Raman lasers to act as beam quality converters in a process often referred to as Raman beam cleanup. This is unlike a phase-matched nonlinear conversion processes where the phase properties of the output beam are directly related to that of the pump beam, an effect leads to exacerbation of distortions and hot-spots in the beam profile. Raman lasers can also be pumped at a range of angles non-collinear to the output beam axis such as in the side-pumping configuration often used in conventional lasers. In a non-collinear pumping arrangement, the pump beam substantially overlaps in the Raman-active medium with the resonator mode of the laser cavity, but the pump beam is not collinear with the resonator mode axis as they pass through the Raman-active medium. The side-pumping arrangement is an example of a non-collinear pumping configuration where the pump beam is at or near 90 to the resonator mode axis, however, smaller angles less than 90 may also be used. A further corollary of automatic phase matching, is that the Raman process can be cascaded to generate an integral number of Stokes shifts. By careful Raman laser design, efficient generation at a selected Stokes order or at multiple Stokes orders can be achieved.
(37) Raman laser designs can be divided into the two categories of external cavity and intracavity Raman lasers as shown in their most basic and well known forms as shown in
(38) The spectral and spatial properties of the Raman output beam 118 are dictated by the resonator design. A high order Stokes output can be selected for example by designing the output mirror 115 to output couple at the desired Stokes order but to reflect lower Stokes orders such that these lower Stokes orders are resonated in the cavity 111 and are sequentially converted to successively higher Stokes orders in the Raman material 116. External Raman lasers 110 operate most efficiently for pulsed pump lasers; however, continuous wave operation is also possible with suitable cavity design. A major attraction of the external resonator arrangement is that it can be a simple add-on to an unmodified pump source, thus allowing the approach to leverage available laser systems as pump sources.
(39) In a example arrangement of a mid- to far-infrared and terahertz external Raman laser system, the mid- to far-infrared solid state Raman laser system comprises a resonator 111 having an input reflector 114 adapted to be highly transmissive for light with a first wavelength for admitting the first (input) beam to the resonator cavity 111. The first wavelength may be in the range of about 3 to about 7.5 micrometers, or alternatively between about 3 and 5 micrometers, 3 and 4 micrometers, or between about 3.2 and about 3.8 micrometers. The input reflector 114 is further adapted to be highly reflective at the wavelength of the desired mid- to far-infrared output radiation 118. The input reflector 114 will generally comprise optical coatings thereon to achieve the desired transmission and reflectivity characteristics. The resonator 111 also comprises an output reflector 115, adapted to be partially transmissive for light with a second wavelength greater than about 5.5 micrometers for resonating the second wavelength in resonator 111 and for outputting output beam 118. The input reflector 114 is further highly reflective at the second wavelength for resonating the second wavelength in the resonator 111.
(40) A solid state Raman material 116 is located in the resonator cavity 111 such that, when in use, an incident pump beam 112 at the first wavelength is Raman shifted to generate the second wavelength by stimulated Raman scattering in the Raman material 116, wherein the second wavelength is greater than about 5.5 micrometers. A portion of the Raman generated radiation in the resonator at the second wavelength is transmitted by the output reflector to form a mid- to far-infrared output beam 118 when the system is in operation. The partially transmissive output reflector 115 is between about 1% and about 80% transmissive at the Raman-shifted second wavelength, or alternatively between about 20% and about 50% transmissive. The input reflector is typically greater than 90% reflective at the second wavelength, i.e. between say 90% and 99.99% reflective.
(41) In this external resonator arrangement 110, a pump source 117 is required to generate the input pump beam 112 at the first wavelength, which in use, is directed to the Raman laser system for generation of the desired mid- to far-infrared output beam 118. The pump beam 112 may be focused into the Raman material with a suitable lens (not shown) as would be appreciated by the skilled addressee. In the end pumped arrangement, the pump beam 112 may be focused such that the waist of the focused pump beam is less than or approximately equal to the diameter of the mode of the resonator cavity 111, and the Rayleigh range of the pump beam 112 is approximately equal to the length of the Raman material 116. The pump laser source may be selected from the group of: an optical parametric oscillator, a solid state thulium laser, a solid state holmium laser, and an erbium laser, and may be adapted to generate pump radiation in the range of between about 3 m and about 7.5 m.In alternate arrangements, the pump source may be an optical parametric oscillator (OPO) adapted to generate radiation in the range of between about 3 m and about 7.5 m.
(42) The laser system may further comprise a heat sink, which is in thermal contact with the Raman material, thereby to remove excess heat from the surface of the Raman material during operation. The heat sink may, for example, be a thermoelectric cooling device. The laser system may further comprise a cooling mechanism for cooling the Raman laser material below room temperature, thereby to minimise multiphonon absorption (and increase the Raman gain), particularly for radiation in the range of about 4 to about 5.5 micrometers. The cooling mechanism may, for example, cool the Raman material to liquid nitrogen temperatures, or below as required (i.e. liquid nitrogen or an alternate cooling liquid may be used to cool the Raman material used in any of the Raman laser systems disclosed herein).
(43) In further arrangements, the Raman material may comprise a waveguide for guiding light at the first and/or second wavelengths in the resonator cavity. Waveguides enable confinement either of the pump or Stokes radiation (or both) for greater distances in the Raman material than that otherwise possible due to diffraction. They are therefore of interest for decreasing the threshold for Raman laser action and increase the efficiency when using low pump peak powers. Ideally, the waveguides are low-loss and allow good spatial overlap between the pump and Stokes fields. To date, waveguides in diamond have been created by micromachining rib waveguides [see for example Hiscocks, M. P. et al, Diamond waveguides fabricated by reactive ion etching, Opt. Express 16, 19512-19519 (2008)]. Also, creation of low-loss buried channel waveguides may be possible by ion implantation [see for example Olivero, P. et al, Controlled variation of the refractive index in ion-damaged diamond, presented at 20.sup.th European Conference on Diamond, Greece (2009)] and direct laser writing (see for example femtosecond laser writing in crystalline Nd:YAG [see for example Rdenasl, A. et al, Refractive index change mechanisms in femtosecond laser written ceramic Nd:YAG waveguides: micro-spectroscopy experiments and beam propagation calculations, Applied Physics B: Lasers and Optics, Volume 95, Pages 85-96 (2009)]).
(44) In particular arrangements, the solid state Raman material 116 is diamond Which has a characteristic Raman shift of .sub.R=1332 cm.sup.1. Advantageously, the diamond solid state Raman material 116 is a low birefringence single crystal diamond. Thus, by using an input beam 112 having a first wavelength in the range of between about 3.2 m and about 3.8 m, an output beam 118 with a second wavelength in the range of between about 5.5 m and about 7.7 m can be generated utilising the first Stokes Raman shift of the input radiation 112 in the diamond Raman material 116. In other arrangements, both the input 114 and the output 115 reflectors of the resonator 111 may be further adapted to be highly reflective for radiation in the range of about 5.5 to about 7.7 m, thereby resonating radiation in this wavelength range within resonator 111, which is subsequently converted by a cascaded Raman process in the diamond Raman material 116 to the second Stokes wavelength.
(45) The output reflector 115 may be adapted to be at least partially transmissive at the second Stokes wavelength to allow a portion of radiation in the resonator at this wavelength to exit the resonator and form the output radiation 118. Using input/pump beam 112 having a wavelength in the range of about 3.2 m to about 3.8 m an optimising the transmissivity and reflectivity characteristics of the input 114 and output 115 reflectors of the resonator 111 for generation of the second Stokes would result in an output beam 118 having a wavelength in the range of between about 21 m to greater than about 200 m.
(46) An alternative external cavity Raman laser architecture is a side-pumped arrangement 120 as shown schematically in
(47) Side-pumping of a laser medium rather than along the laser axis notably changes laser design constraints that includes several advantages such as relaxed requirements on resonator mirror coatings, reduced incident power density and shortened penetration of the pump laser within the active medium. Side pumping spatially decouples the pump and output beams and enables several design freedoms in the laser configuration. The key freedoms include the ability to pump the laser at wavelengths that may experience significant absorption by the Raman medium. The loss may be reduced by as much as the ratio of the crystal length and width which may be an enhancement of several orders of magnitude. Advantages also include much greatly reduced constraints on mirrors and for input coupling beams with a greater range of peak and average power.
(48) Although side-pumping is a well known method for power scaling in conventional population inversion lasers, application in Raman lasers has only been studied recently in any detail. These studies, undertaken by the inventor, have shown that the efficiency and threshold pump intensity are similar to those observed in end-pumped systems for the case of a dielectric crystalline Raman laser.
(49) Since the absorption depth of Raman media at the pump wavelength is generally very much longer than for inversion lasers, multi-axis pumping is straightforward for an arbitrary crystal shape and dimension providing an interesting approach to coherent beam combination for high brightness applications. Side-pumping also provides an alternative that may enable efficient operation in cases where end-pumping is problematic due to either the long optical path through the medium or due to end-mirror coating constraints. Side pumping may be particular advantageous for diamond Raman lasers pumped at wavelengths that experience significant multiphonon absorption (i.e., for pump wavelengths in the range 2-6 microns). A transverse configuration will reduce pump absorption by as much as the ratio of the beam diameter to the Raman material length. A similar principle may apply in systems where the pump wavelength is in the vicinity of the material bandgap. Such a configuration can also minimize parasitic absorption of the pump radiation since the path length of pump rays through the medium can be as short as the Raman laser beam diameter. This is contrast to end-pumping arrangements in which the path length of the pump radiation is the order of the length of the Raman material. Thus in side pumped arrangements the path length and the resulting absorption can be orders of magnitude lower. In particular arrangements, for example where absorption of the pump radiation in the Raman material is high (i.e. between about 3.8 and about 5.5 m or between about 7 and about 11 m in diamond), it may be advantageous to both end-pump and side-pump the Raman material simultaneously.
(50) Although the theory underpinning gain and threshold for SRS was established during the 1960s, there are few detailed treatments of SRS in crystals that deal explicitly with scattering geometry and the associated dynamics of the vibrational wave. Shen and Bloembergen [see Y. R. Shen and N. Bloembergen, Theory of Stimulated Brillouin and Raman Scattering, Phys. Rev. 137, A1787-A1805 (1965)] specifically investigated SRS as a function of the optical phonon wavevector. The problem is adequately dealt with classically since the interaction involves a large ensemble of photons. For near threshold behaviour the depletion of pump field E.sub.p can be neglected and it is also assumed that most vibrational centres are in the ground state so that the anti-Stokes wave can be neglected. Coupled equations for the Stokes field E.sub.sexp[i(k.sub.s.r.sub.st)] and vibrational waves Q.sub.exp[i(k.sub..r.sub.t)] were obtained using a Lagrangian method:
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where Q.sub. is the relative displacement of nuclear positions normalized by the (2) where is the reduced mass density, .sub.s is the permittivity of free space of the Stokes wave and c is the speed of light. The .sup.2 term allows for the propagation of momentum where <<.sub.0/k.sub. is equal to the acoustic phonon speed in the Raman medium. The equations describe a damped harmonic vibration with the driving term E.sub.p.E.sub.s and Maxwell's equation for the Stokes field with the driving term Q.sub..E.sub.p respectively. The damping constant for the vibrational wave is. (=1/T.sub.2 where T.sub.2 is the phonon dephasing time). The strength of the Raman coupling is N.d/dQ.sub. where is the optical polarizability tensor and N the number density of scattering centres, and is related to the steady-state Raman gain coefficient (see Equation 6) by g.sub.s=2.sub.s.sup.2(N.d/dq).sup.2/c.sup.2k.sub.s.sub.. Conservation of energy requires .sub.p=.sub.s.sub..
(52) From Equation (3) it is seen that the phonon-photon coupling strength is independent of the propagation and depends only on pump and Stokes polarization and the properties of . The only directional dependence comes from the requirement for momentum conservation (k.sub.p=k.sub.s+k.sub.). For 90 scattering, the magnitude of the phonon wavevector is between that for forward and backward scattering as shown in
(53) In the side-pumped arrangement 120 of
(54) An example side pumped arrangement is depicted in the Raman laser 1500 of
(55) To contrast performance of a side-pumped with an end-pumped configuration, an end-pumped Raman laser system 1500a was studied as depicted in
(56) The end-pumped Raman laser 1500a was investigated for pump energies up to 12 mJ. The Raman resonator 1515a was aligned by using the amplified spontaneous Raman scattering observed in the plane of the pump beam 1501b when pumping at high pulse energies. First, the high reflector 1509a was aligned with the pump stripe axis by maximizing the observed double pass first Stokes SRS signal. The output coupler 1510 (as used for the side-pumped configuration) was then put in place and aligned to maximize second Stokes laser output. Energy conversion of the aligned side-pumped Raman laser 1500 is shown in
(57) The pump intensities at threshold allow the Raman gain coefficients for end- and side-pumping to be compared. The growth in the Stokes intensity near threshold is given by dI.sub.s=I.sub.s.(g.sub.s.I.sub.p(z)L).dz in each case where the round-trip loss coefficient L is assumed fixed. Thus, at threshold the gain is inversely proportional to the integral of I.sub.p(z) over a round-trip. The I.sub.p(z).dz values at threshold are similar to each other within a factor of 2 as shown in Table 1 below along with the parameters used to calculate them. The departure from parity expected from theory is attributed to the invalidity of assumed mode overlap between pump and resonator mode volumes and effects arising from the presence of multiple longitudinal modes in the pump laser. In the side-pumped laser configuration, it should also be noted that the far-field output beam profile was highly asymmetric (M.sub.x.sup.2/M.sub.y.sup.2750, with M.sub.y.sup.2=1.8 where x is the pump direction) which suggests that the seeding of Stokes modes is substantially different to the end-pumped case (for which M.sub.x,y.sup.2<1.5).
(58) TABLE-US-00001 TABLE 1 Comparison of threshold parameters for side and end-pumped systems. Side pumped End pumped Pulse energy (mJ) 6.2 0.12 Waist dimensions (mm) 0.01 (w) 22 (l) 0.055 radius Pulse duration (ns) 8 8 Power density (MW/cm.sup.2) 360 160 Ip(z) .Math. dz (GW/cm) 0.76 0.39
(59) As can be seen from
(60) Intracavity Raman lasers 130, for example as shown in
(61) In further arrangements, the laser system may be adapted to be switchable between two output wavelengths. In some applications, such as in medical procedures, rapid switching between output wavelengths may be particularly advantageous, for example a laser which is capable of delivering switchable output between, say 3.47 m where water absorption is high, and 6.45 m where the absorption coefficient is much lower, may be particularly advantageous to enable surgeons to alter the penetration depth and ablation characteristics of the laser system. An example arrangement of a basic switchable Raman laser system 140 adapted to selectively switch between output wavelengths is depicted schematically in
(62) As would be appreciated, in a Raman laser system the output wavelength is dependent upon the wavelength of the pump beam, and example combinations of pump beam wavelength .sub.1 and output beam wavelength .sub.2 are shown in Table 2:
(63) TABLE-US-00002 TABLE 2 Pump and output wavelengths in micrometers [m] for first- Stokes-shifted light in a Diamond Raman laser system .sub.1 .sub.2 3.0 5.0 3.1 5.3 3.2 5.6 3.3 5.9 3.4 6.2 3.5 6.6 3.6 6.9 3.7 7.3 3.8 7.7 3.9 8.1 4.0 8.6 4.1 9.0 4.2 9.5 4.3 10.1 4.4 10.6 4.5 11.2 4.6 11.9 4.7 12.6 4.8 13.3 4.9 14.1 5.0 15.0 5.1 15.9 5.2 16.9 5.3 18.0 5.4 19.2 5.5 20.6 5.6 22.0 5.7 23.7 5.8 25.5 5.9 27.6 6.0 29.9 6.1 32.5 6.2 35.6 6.3 39.2 6.4 43.4 6.5 48.4 6.6 54.6 6.7 62.3 6.8 72.2 6.9 85.3 7.0 103.6 7.1 130.8 7.2 175.8 7.3 264.1 7.4 516.8 7.5 7500.0
(64) It will be further be appreciated that with the addition of a switching means as disclosed above, the output from a switchable Raman laser system may be switched between the pump beam wavelength .sub.1 and output beam wavelength .sub.2 for a desired combination of .sub.1 and .sub.2 as listed in Table 2.
(65) Crystalline (solid state) Raman materials offer the advantages of a solid-state material, rapid removal of waste heat (compared to gases and liquids), narrow Raman linewidths (compared to glass materials) and high gain coefficients. Materials such as barium nitrate, potassium gadolinium tungstate, barium tungstate, yttrium vanadate and their close crystal relatives have been widely used as Raman materials in Raman laser systems. All these materials feature high gain coefficients and/or high damage thresholds that enable efficient Raman conversion to take place. The Raman shift is typically in the range .sub.R=700-1332 cm.sup.1 where diamond has the largest shift of all crystals widely used in Raman lasers of about .sub.R=1332 cm.sup.1. The Raman shift allows important wavelength zones such as in the yellow-red, and the eye-safe region near 1.5 m to be accessed via low-order Stokes shifts from existing laser sources.
(66) Conversion efficiencies in Raman lasers to the Raman-converted. Stokes output can be very high. For external cavity Raman lasers, for which it is straightforward to determine the conversion efficiency in the Raman medium, efficiencies greater than 50% are routinely observed. Some Raman crystals such as the vanadates and the double metal tungstates also enable self-Raman laser action in which the Raman medium can act as both the amplifier for the fundamental and Stokes fields. There would be significant potential in self-Raman diamond lasers however, doping of diamond crystals with sufficient concentration of suitable active laser species is currently a challenge.
(67) The above discussion highlights the versatile properties of Raman lasers as optically pumped lasers for wavelength and beam quality conversion. A significant challenge that to date has limited integration of Raman lasers into applications is the weak nature of the Raman process (i.e. the small Raman cross-section). As a consequence, high demands are placed on the spectral power density on the pump beam and the damage threshold of optical elements in order to create efficient devices. Transversely pumped (i.e. side-pumped) Raman lasers are rarely done in practice as these requirements are even more difficult to satisfy. Improvements in pump lasers, optical coatings and Raman material quality over recent years have enabled the field to grow substantially and Raman lasers are finding numerous applications such is in ophthalmology, remote sensing and astronomical guide-stars among many others.
(68) Diamond as a Raman Laser Material
(69) Diamond has many outstanding properties that are particularly attractive for Raman laser systems. Diamond has a particularly high Raman gain coefficient which allows Raman lasers to be made with shorter crystals. Also, the high thermal conductivity and low thermal expansion coefficient is promising for enabling Raman conversion at much higher average powers than in other Raman materials, giving diamond good resistance to optical damage when compared with other Raman materials. The wide transmission range (see
(70) Table 3 below contains a detailed comparison of the main parameters of diamond crystals which are important to Raman laser design compared with other common solid state Raman materials. The thermal properties of diamond stand out most notably from the other materials, where the thermal conductivity is over two orders of magnitude higher than the dielectric crystals, and 10 to 15 times higher than silicon. Since SRS deposits heat into the Raman material, this property is crucial for mitigating heat-induced (thermal) lensing and stress forces within the material that introduce birefringence or lead to catastrophic damage. The outstandingly low thermal expansion coefficient of diamond also addresses these problems. Though the thermo-optic coefficient (dn/dT) is at the high end, this will be counteracted by the rapid rate of heat removal and thus the moderation of temperature gradients due to the high thermal conductivity.
(71) TABLE-US-00003 TABLE 3 Comparison of diamond's optical parameters with the most commonly used crystalline Raman materials. Thermal Thermo- Raman Line Stationary Thermal Expansion optic coeff Transparency Crystal Shift Width Raman gain @ Conductivity Coeff (dn/dT) Range Class (cm.sup.1) (cm.sup.1) 1 m (cm/GW) [W/m/K] (10.sup.6 K.sup.1) [10.sup.6 K.sup.1] [m] LilO.sub.3 Uniaxial 822 5 4.8 0.38-5.5 KGd(WO.sub.4).sub.2 Biaxial 768 2.5-3.8 2.5-17 1-5 0.3-5.0 901 6 4 Ba(NO.sub.3).sub.2 Isotropic 1047 1 11 1.2 13 20 0.3-1.8 BaWO.sub.4 Uniaxial 926 1.6 8.5 3 11-35 0.4-3.sup. GdVO.sub.4 Uniaxial 884.5 3 4.5 5 4.7 0.3-2.5 YVO.sub.4 Uniaxial 887.2 3.3 5 5 11 3 Silicon Isotropic 523 4.6 4 148 1.1-6.6 Diamond Isotropic 1332.5 2 15-20 >1800 1.0 20 0.23-3, >6
(72)
(73) The Raman linewidth of diamond, which is an indicator of the maximum line broadening introduced by Raman shifting, is at the low end compared to other materials but not as narrow as barium nitrate. For efficient operation of the diamond Raman laser, the pump radiation advantageously has a linewidth less than or about equal to the linewidth of the Raman gain of the Raman material. Diamond is isotropic for linear optical phenomena, which is often considered a disadvantage because of the susceptibility for stress-induced birefringence to depolarize transmitted radiation. Stress-induced birefringence often inherent in CVD-diamond can be problematic in terms of the laser threshold, therefore low-birefringence diamond is advantageous. Care should also be taken when mounting the diamond crystal without applying stresses to the crystal thereby to minimise stress-induced birefringence.
(74) The orientation of the diamond crystal axis relative to the polarization of the pump laser may be such as to maximise the Raman gain.
(75) The laser damage threshold of diamond is also a crucial parameter, however, to date there is a lack of information available especially for the most recent material. Measurements on single crystal diamond suggest that the damage threshold is approximately 10 GW.cm.sup.2 for pulsed 1064 nm radiation of duration 1 ns, and is probably higher than many other Raman materials.
(76) Modelling of Diamond Raman Lasers
(77) To understand and predict the Raman processes in the solid state diamond Raman material, a numerical model has been developed to simulate the temporal dynamics of the pump and Stokes field in a basic external cavity configuration as shown in
(78)
where I.sub.p,s.sup.+ and I.sub.p,s.sup. are the forward and backward propagating pump, p, and Stokes waves, s, I.sub.p,s=I.sub.p,s.sup.+I.sub.p,s.sup.+, .sub.s,p is the material absorption (loss) coefficient and z is the longitudinal position in the cavity.
(79) The model propagates the field using time steps dt=dz.n/c and the external resonator is modelled by propagating the pump and the Stokes fields through the crystal. Small air-spaces between the crystal and resonator mirrors are also considered. The input coupler and output coupler are adapted to resonate light at the Stokes wavelength and also to allow a double pass of the input pump laser to match common experimental conditions.
(80) As will be appreciated, the accuracy of Raman laser models depends on the validity of the model assumptions and the input parameters. Experimental input parameters such as the pump pulse energy, pulse duration and pulse rate are well known parameters, whereas the beam brightness in the crystal slightly less so due to relatively large uncertainties in introduced by spot-area measurements. The input and output beams in the crystal are typically low order mode far-field profiles (of approximately Gaussian transverse profile) so the plane wave assumption of the present model will lead to some significant errors, however spectral overlap between the pump and Raman linewidth has been seen to be a good assumption to date for Nd-based pump lasers. Model accuracy, of course, also depends on a good knowledge of the material parameters including the gain coefficient, g, and also the absorption (loss) coefficient, .sub.s,p.
(81) Raman Gain Coefficient
(82) Generally, the Raman gain coefficient for a material is given by the relation:
(83)
where T.sub.2 is the dephasing time, d/dq is the derivative of the polarizability as a function of displacement between vibrating centres, and .sub.s and .sub.r are respectively the frequency of the Stokes beam and characteristic frequency of the Raman vibrational mode (i.e. the characteristic Raman frequency of the Raman material) of the crystal lattice. The constant k=4N/(n.sub.s.n.sub.p c.sup.2m) is a lumped constant where N is the number density of vibrating centres of reduced mass m, n.sub.s and n.sub.p are the refractive indices at the Stokes and pump frequencies respectively, and c is the speed of light in vacuo.
(84) The strong wavelength dependence of the Raman gain coefficient that arises from the explicit appearance of the frequency .sub.s of the Stokes beam in the gain equation and also some dependence of d/dq on wavelength. Empirical studies in gases [see W. K. Bishel and M. J. Dyer, J. Opt. Soc. Am. B 3, 677 (1986)] suggest that the gain coefficient increases markedly for frequencies approaching the band-gap frequency .sub.i according to the relation (referred to hereafter as the Bishel formula):
(85)
where D is a fitting parameter.
(86) Measurements of the Raman gain coefficient for diamond has only been reported on a few occasions dating back to the early 1970s and for only a few wavelengths. The early work was done in natural diamond while more recent measurements by Kaminskii [see. Kaminskii, A. A., et al High-order Stokes and anti-Stokes Raman generation in CVD diamond, Phys. Status Solidi 242, R4-R6 (2005); and Kaminskii, A. A. et al, High-order stimulated Raman scattering in CVD single crystal diamond, Laser Phys. Lett. 4, 350-353 (2007)] and in the last few years were performed using synthetic diamond grown using the CVD process. The crystal orientation was not reported in each case. Perhaps the most reliable indication of the remain gain coefficient, g.sub.R, for diamond comes from comparison of the peak Raman cross-sections [see Basiev, T. T. et al Appl. Opt. 38, 594 (1999)], which suggests the steady-state Raman gain of diamond at 488 nm is several times 1.4 times barium nitrate and 4 times that of potassium gadolinium tungstate.
(87) All measurements have used methods based on the observed threshold for SRS, and there is significant variation in the results as can be seen from the graph of the Raman gain coefficient as a function of first Stokes wavelength in
(88) Model Validation ExampleVisible Diamond Raman Laser
(89) To test and validate the numerical model, the modelling results were compared with experimental data from an example diamond Raman laser system pumped by a standard frequency doubled Nd:YAG laser at 532 nm (the first wavelength) which when Raman shifted by the CVD (low-birefringence single crystal) diamond Raman material to the first Stokes frequency produced an output beam at 573 nm (the second wavelength) using an external cavity arrangement.
(90)
(91) The diamond crystal 410 was mounted on a thermoelectric cooled mount (not shown) and placed inside an optical resonator cavity 420 comprising input reflector 402 and output coupler 404 as shown in
(92) Reflector 402 of the present example is an input coupler which was 94.2% transmissive (T) at 532 nm to transmit a pump beam 406 from pump source 430 and highly reflective (HR) at 560-650 nm to reflect light in the cavity 408 at the Stokes wavelength. The output coupler 404, which retro-reflects the pump beam 406 to provide a second pass of the Raman crystal 410, was HR at 532 nm, 20% T at 573 nm, and 80% T at 620 nm. Both resonator reflectors 402 and 404 in the present example had a radius of curvature of 20 cm. The reflectors 402 and 404 were placed adjacent to the diamond Raman crystal 410 so that the overall length of the resonator cavity 420 was about 10 to 12 mm. The calculated waist radius for the lowest-order resonator mode of this cavity 420 was about 85 m.
(93) The diamond Raman laser 400 was pumped using a pulsed pump beam 406 from one of two frequency doubled Q-switched Nd:YAG lasers (not shown), each with a pulse duration of 8 ns and pump wavelength of 532 nm. The first pump laser operated at 5 kHz pulse repetition frequency and generated up to approximately 2.2 W, corresponding to output pulse energies of up to 0.44 mJ of pump light. The second pump laser was used to investigate the performance at higher output energies using a 10 Hz pump laser (HyperYag, Lumonics, not shown). A harmonic separator (not shown) was placed on the output of each pump laser to ensure that the measurements of the Stokes output power from the system 400 were not affected by the presence of residual 1064 nm output from the pump sources. Both pump laser sources had a fundamental spatial mode output with measured beam quality factors less than 1.3. For the 5 kHz pump laser, the output beam was focused into the crystal using a 10 cm focal length lens (not shown) to provide a pump spot size approximately matching the fundamental mode radius of the resonator 420.
(94) The pump light was converted to Raman shifted light in the output beam 412 at the first order Stokes wavelength of 573 nm (first Stokes light). The output power in the Stokes output beam 412 was measured using a calibrated (3% accuracy) power meter (Newport 18-010-12) and pulse energies using an energy meter (ED100, Gentec). Pulse shapes of the Stokes output pulses of beam 412 were recorded using a fast photodiode and an oscilloscope combination with a response of 500 MHz. The spectral composition of the output beam 412 was measured using a grating spectrometer with a calibrated spectral response.
(95)
(96) The output beam 412 largely consists of first Stokes light at 573 nm. A small amount of light at the second Stokes wavelength of 620 nm was observed in the output beam 412 at high input energies (above 0.28 mJ). At the maximum output pulse energy observed (0.44 mJ) approximately 10% was observed to be second Stokes light at 620 nm. In terms of the output power, the maximum combined first and second Stokes output powers was 1180 mW. Further investigation of the performance at higher input powers was limited by the capability of the pump laser.
(97) Pulse shapes of the 5 kHz pump pulses (601) and the Stokes output pulses (603) were recorded in order to analyse the temporal behaviour of Stokes conversion and are shown in
(98)
(99) The 10 Hz pump laser was used to investigate the performance of the diamond Raman laser 400 at higher pulse energies. Using a pump focal spot radius of 100 m, the conversion (42%) and the slope (64%) efficiencies were similar to that at 5 kHz. To scale the output energy further and to avoid damage to the dichroic coating on the input coupler, the pump waist size was increased to 200 m to limit the incident fluence and thus minimise the possibility of damage to the diamond crystal. The Raman laser threshold energy (504 of
(100) Preferential second Stokes output from the diamond Raman laser 400 was also observed using the 10 Hz pump laser by replacing the output coupler (404 of
(101)
(102) It can be seen that many of the observed pulse features from the model validation of example system 400 are seen in the modelled results of
(103) The results using a diamond Raman material for visible output discussed above demonstrate that synthetic low-birefringence diamond is suitable for realizing highly efficient Raman lasers, and that key optical parameters such as absorption, scatter and depolarization are sufficiently low to enable efficient pulsed devices. Using a 532 nm pump beam with the diamond Raman material, the output laser wavelengths at 573 nm (first Stokes) and 620 nm (second Stokes) may be useful in applications such as medical and biosensing. However, the value of the present demonstration is as a major step towards realizing diamond Raman laser systems that leverage the outstanding transparency range and thermal properties of diamond. Diamond is promising for accessing performance space not easily achieved using other Raman and non-Raman laser systems such as in high brightness lasers and lasers of wavelength in regions otherwise difficult to generate such as wavelengths greater than 5 micrometers.
(104) As expected from the outstandingly high thermal conductivity of diamond, no evidence for thermal effects in the crystal was observed at the current output power levels. Much higher output powers are likely by using either higher pulse energies or repetition rates. It may be necessary to increase the beam waist diameter when increasing pulse energy to ensure the peak input power densities remain below the threshold for coating damage and for parasitic nonlinear effects such as self-focusing. On the simple basis of the diamond's high thermal conductivity, thermal lensing effects are not expected for Stokes powers approximately two orders of magnitude higher than other Raman materials. Given that current output powers for currently available external cavity Raman laser systems using Raman materials other than diamond are currently approaching 10 W, there is promise for diamond to scale to multi-hundred watt diamond Raman lasers without performance being impacted by thermal lensing (though the isotropic nature of diamond will require consideration of thermally induced stress birefringence).
(105) It is useful to compare the performance of the visible diamond Raman laser described above, with a KGW Raman laser as described by the inventors in their related work [see R. P. Mildren, H. M. Pask, and J. A. Piper, in Advanced Solid-State Photonics, OSA Technical Digest Series (Optical Society of America, 2006), paper MC3], which represents state of the art in efficient external cavity Raman lasers and was operated under very similar conditions using identical pump laser sources and resonator mirrors. A summary of maximum output parameters from the diamond Raman laser system 400 of
(106) TABLE-US-00004 TABLE 4 Comparison of Maximum Output Parameters from Diamond Raman Lasers pumped by 5 kHz and 10 Hz Sources, with a 5 kHz KGW Raman laser. 5 kHz 10 Hz KGW* Input energy (mJ) 0.373 1.91 0.47 Output energy (mJ) 0.237 0.67 0.3 Conversion efficiency (%) 63.5 35.1 64 Slope efficiency (%) 74.9 44.9 71 Output power (mW) 1180 6.7 1500 *R. P. Mildren, H. M. Pask, and J. A. Piper, in Advanced Solid-State Photonics, OSA Technical Digest Series (Optical Society of America, 2006), paper MC3
(107) The major experimental differences of note are consequences of the diamond's shorter length (6.7 mm cf. 50 mm for KGW) and larger Stokes shift of .sub.R=1332 cm.sup.1 compared with a Stokes shift of only about .sub.R=901 cm.sup.1 in KGW. The much larger Stokes shift in diamond enables the diamond resonator length to be much shorter (12 mm compared to with a resonator length of about 55 mm for the KGW laser system) and the primary output wavelength of the diamond system to be the first Stokes where the transmission of the output coupler is 25% (compared with 70% for the 588 nm second Stokes for the KGW Raman laser). In spite these differences, the maximum conversion using diamond as the Raman material is almost identical (about 63.5% compared with about 64% for KGW) and the slope efficiency for diamond is marginally higher (about 74.9% compared with about 71% for KGW). The diamond Raman laser efficiency of about 74.9% is higher than that for all other reports of high efficiency nanosecond external cavity Raman lasers of which the inventors are presently aware.
(108) The results from the example diamond Raman laser system discussed above demonstrate that synthetic low birefringence solid state diamond crystals are suitable for realizing highly efficient Raman lasers and indeed appear to be at least as efficient as that reported for other Raman crystals. Given the high photon conversion efficiency observed (>90%) in the diamond Raman laser, it is expected that the combined loss from processes such as absorption, elastic scatter, and depolarization is minor.
(109) In the example visible diamond Raman laser setup described above, it was also possible to determine the crystal absorption and birefringence. An upper bound on the absorption was determined by measuring the power pumped by the thermoelectric cooler with the resonator misaligned to prevent lasing. The power deposited in the crystal at 2 W input power was 16 mW, which corresponds to an absorption coefficient of less than 0.0120.001 cm.sup.1. This value, which is notably higher than for similar single crystal material (although not low birefringence) made by the same manufacturer (0.0026 cm.sup.1), is an upper bound owing to the added thermal contribution from the scattered light from the crystal impinging on the cooling mount. Fluorescence from the diamond crystal at wavelengths of 580-700 nm was visible, consistent with some absorption by color centers such as the well known nitrogen vacancy center N-V.sup.. The average birefringence n along the beam path is found by measuring s-polarized external reflection from the exit facet, which is proportional to the depolarization induced by a single pass of the crystal. The facet reflection was 0.10(0.02)% of the incident pump, which corresponds to n=1.0(0.2)10.sup.6. This value is similar to that previously reported for similar low-birefringence material (n=510.sup.7).
(110) The maximum output power achieved (1.2 W) with the visible diamond Raman laser system 400 in the example above was limited by the pump laser power available from the pump sources used in the example. No evidence for thermal effects in the crystal were observed, which is expected from experience in KGW Raman laser systems as well as the very high thermal conductivity of diamond. Much higher output powers are likely to be achieved by using higher power pump lasers and by increasing the beam waist diameter to ensure that the peak input power densities remain below the threshold for coating damage and for parasitic nonlinear effects such as self-focusing. Owing to diamond's high Raman gain, broad transparency, and high damage threshold, there is therefore substantial promise for efficient and high power Raman lasers of small size and broad wavelength range.
(111) Modelling of Mid- to Far Infrared Diamond Raman Lasers
(112) The numerical model outlined above can be used to predict the input pump requirements in order to achieve laser threshold in a mid- to far infrared diamond Raman lasers.
(113) As can be seen from
(114) For the following modelling discussion, a first Stokes shifted output wavelength of about 7.5 m (1430 cm.sup.1) is used corresponding to an input pump wavelength of 3.6 m (2760 cm.sup.1) to coincide with favourable low values of the absorption coefficient .sub.s,p of diamond at these wavelengths, i.e. around the multiphonon absorption band [see FIG. 6 of Thomas, M. E. & Joseph, R. I., Optical phonon characteristics of diamond, beryllia, and cubic zirconia Proc. SPIE, Vol. 1326, 120 (1990); doi:10.1117/12.22490; and FIG. 3.5 of Wilks, E. & Wilks, J., Properties and Applications of Diamond Paperback: 525 pages Publisher: Butterworth-Heinemann (Apr. 15, 1994) ISBN-10: 07506191] of single-crystal solid state diamond crystals.
(115) Considering the Kaminskii 2007 data point (301 of
(116) TABLE-US-00005 TABLE 5 Example Numerical Model Input Parameters for Diamond Raman Laser with 7.5 m Output Raman gain coeff., g.sub.R (s = 7.5 m) 2 cm/GW Pump Wavelength, .sub.p 2760 cm.sup.1 (3.6 m) First Stokes output wavelength, .sub.s 1430 cm.sup.1 (7.5 m) Abs. coeff. at pump, .sub.p 0.4-1.2 cm.sup.1 * Abs. coeff. at Stokes, .sub.s 0.1-0.3 cm.sup.1 * Crystal length 8 mm Output coupler transmission/ 20% T, 80% R reflectivity at Stokes * Range determined using values taken from Wilks & Wilks and Thomas et al
(117) There are two important considerations in order to reach laser threshold. Sufficient pump intensity is required to generate a gain in the Raman material that exceeds the round-trip losses. Also, the pump light needs to be present for a sufficient duration to enable the build up of a Stokes beam that is sufficiently intense to substantially deplete the pump beam.
(118) The model results in
(119) The numerical model was next used to calculate the temporal laser performance for several pump intensities for 3.6 m laser pump pulses of 10 ns FWHM as shown in
(120) TABLE-US-00006 TABLE 6 Energy required to reach Raman threshold generating 7.5 m Raman output using 3.6 m pump and a 60 m spot in the diamond crystal.. Energy Density Intensity Pulse energy J/cm.sup.2 GW/cm.sup.2 mJ 10 1 1.1 20 2 2.3 30 3 3.4 40 4 4.5
(121) The plane wave approximation in the model assumes good mode overlap between the pump and Stokes fields in the diamond Raman material. In practice, this may be readily achieved for an external resonator configuration since the pump waist size can be controlled independent of the waist size of the resonated Stokes field. The pump mode size as it passes through the Raman material is determined by the beam properties of the pump laser and the beam optics that relay the beam into the Raman material. For example, reducing the focal length or moving the position of the focusing lens or imaging telescope can increase the pump spot in the Raman crystal. On the other hand, the mode size of the Stokes field is primarily determined by the lensing properties of the resonator mirrors. In general, good conversion efficiency may be maintained provided that the pump mode size is approximately equal to or fractionally less than the resonator (Stokes) mode size, for example about 0.5 to 1.1 times the Stokes mode size (e.g. about 0.50 times, or 0.55, 0.60, 0.65, 0.70, 0.75, 0.80, 0.85, 0.90, 0.95, 1.00, 1.05, or about 1.10 times the resonator mode size), where the pump mode radius is a minimum in the Raman material.
(122) According to basic theory, all other parameters being constant, the mode size scales (increases) proportionately with the wavelength (i.e. of the Raman-shifted wavelength resonating in the resonator of the Raman laser system). Thus, for a tunable Raman laser system, it may be an advantage to adjust the spacing of the optical elements, for example the spacing of lenses in a beam telescope, while tuning the laser in order to maintain conversion and output efficiency. That is, the beam size of the pump beam may be simultaneously tuned when the pump wavelength is tuned, to maintain the mode-matching conditions between the size of the pump beam in the Raman material and the resonator mode for the Raman-converted wavelength. This may particularly important when tuning to longer pump wavelengths as the Stokes wavelength increases at much greater rate as the pump wavelength increases. Mode-matching principles are well known in the art for both external cavity and intracavity Raman lasers, and may be applied as required to the diamond Raman laser systems disclosed herein.
(123) It is seen above that the modelled laser pump threshold and output efficiency varies significantly when using different absorption coefficients. It is important to understand how the threshold and efficiency vary as functions of the absorption coefficients at the pump and Stokes wavelengths (.sub.p and .sub.s respectively) to enable prediction of performance when using diamond of various impurities and when changing the operating wavelength(s). It is also important for understanding how the present uncertainties in the absorption values affect the model.
(124) To explore these issues, the numerical model was used to calculate how the required pump intensity needed to reach threshold varies as a function of .sub.p and .sub.s. A step function pump pulse was used and the pump intensity was varied until the Raman laser output exceeded threshold at a fixed time of t=10 ns. The steady state conversion efficiency (i.e., for t.fwdarw.) was also recorded. Though again, direct comparison with experiment is not really feasible, this approach allows the trends in threshold and efficiency to be investigated. The efficiency values are thus maximum peak values achievable using more realistic (e.g., Gaussian) temporal pump pulse profiles.
(125) As shown in
(126) Some qualitative statements about the likely performance as a function of wavelength can now be made. Since .sub.p is only large (>2 cm.sup.1) for pump frequencies 1700-2650 cm.sup.1, major increases in the threshold are likely to be expected in this range. In principle, Raman laser operation is possible in this range using proportionally larger pump intensities provided that the threshold for damage to the crystal is not exceeded. It may be an advantage to use shorter diamond crystals under these high absorption conditions. For operation at Stokes frequencies in the range .sub.s=17002600 cm.sup.1, (about 3.8 m to about 5.8 m), the high absorption coefficient of diamond in this frequency range restricts the maximum conversion efficiency below 10%. Note that such low conversions may still be adequate for many applications. Good maximum efficiencies (>10%) are predicted for wavelengths >5.5 m (.sub.s>1800 cm.sup.1). These conclusions are highlighted as a function of wavelength and wavenumber in
(127) Multi-order Stokes generation enables the diamond Raman laser to increase the shift from the wavelength of the pump laser. For example, second Stokes generation provides a method to step the output wavelength two times the diamond Raman shift (2665 cm.sup.1) and is relevant for pump wavelengths shorter than 3.75 m. In principle, this allows very long wavelength sources to be based on mid-IR pump lasers. In external resonators, methods for concentrating output at the second Stokes have been reported previously [see Mildren, R. P et al, Efficient, all-solid-state, Raman laser in the yellow, orange and red, Opt. Express, vol. 12, pp 785-790 (2004)], though it should also be noted that the measures to prevent energy loss by cascading to the 3rd order are not necessary in the present case unless the pump wavelength is shorter than 2.5 m.
(128) In the multi-order Stokes generation of long wavelengths, the dependence of Raman gain with Stokes wavelength and four wave mixing between the pump and low order Stokes fields may need to be considered to determine the threshold. It should also be noted that although photon conversion efficiencies may be very high, a conversion efficiency based on power or energy may be quite low for multi-order Stokes conversion due to the large energy deducted from each pump photon.
(129) The numerical model discussed above provides predictions for an external cavity diamond Raman laser with many fixed parameters including pump wavelength, crystal length, crystal absorption characteristics, pump pulse duration and output coupler value. These parameters are chosen based on brief and non-rigorous studies into parameters, which provide the lowest pump energies needed to achieve threshold. Although a rigorous optimization would require a detailed and lengthy analysis, it is useful to provide a qualitative discussion of the effects of key parameters to assist in selection of design parameters (including pump laser, crystal material and resonator designs), as seen in Table 7 below:
(130) TABLE-US-00007 TABLE 7 The effects of varying key parameters in the numerical model Parameter Effect of increase Effect of decrease Crystal length Higher pump and Stokes Reduced single pass gain absorption Higher threshold Lower efficiency Pump Higher pump absorption High Stokes absorption Wavelength Higher threshold Reduced conversion efficiency Pump duration Reduced threshold intensity Higher threshold Higher pump energies intensity needed needed Output Slightly increased threshold Reduced threshold coupling Higher conversion Lower conversion efficiency efficiency Stokes (Slightly) increased (Slightly) reduced threshold absorption threshold Increased conversion (or scatter) Reduced conversion efficiency efficiency Pump (Greatly) increased (Greatly) reduced threshold absorption threshold (or scatter)
(131) The numerical modelling of mid- to far-infrared diamond Raman laser systems indicates that a practical laser system for generating light greater than about 5.5 micrometers (typically in the range of between about 5.5 and about 8 micrometers) is feasible using a pump source generating pump radiation in the range of between about 3.2 to about 3.8 micrometers. The numerical modelling also suggests that a pump wavelength for the diamond Raman material in the range of between about 3 and about 7.5 micrometers is also feasible.
(132) Due to the multiphonon absorption transition, the Raman threshold of the laser system increases in the region between about 4 and 5.5 micrometers, however modelling suggests that this may be overcome with sufficient pump intensities and or arrangements. For example, in a side-pumped Raman laser system, the absorption of the pump radiation is minimised due to the short penetration depths required, rather than in an end-pumped arrangement.
(133) Diamond Raman Laser Pump Sources
(134) Suitable pump sources for pumping the mid- to far-infrared diamond Raman laser systems may include solid-state lasers, optical parametric oscillators, fibre lasers, color center lasers, etc, [for a review of potential laser sources in the 3 to 4 micrometer range, see Sorokina, I. T., Crystalline mid-infrared lasers; in Solid-State Mid-Infrared Laser Sources, Topics in Applied Physics, Springer Berlin/Heidelberg Volume 89 2003 DOI 10.1007/3-540-36491-9_7 Pages 255-351].
(135) Optical Parametric Pump Sources
(136) Potential candidates for high peak power pulsed pump lasers include optical parametric oscillators. KTA [see for example Rui Fen Wu, et al, Multiwatt mid-IR output from a Nd:YALO laser pumped intracavity KTA OPO Optics Express, Vol. 8, Issue 13, pp. 694-698]) and LiNbO.sub.3 (see for example Hideki Ishizuki and Takunori Taira, High-energy quasi-phase-matched optical parametric oscillation in a periodically poled MgO:LiNbO.sub.3 device with a 5 mm5 mm aperture, Opt. Lett. 30, 2918-2920 (2005)] are robust materials with proven capability for significant energies and powers. Optical parametric oscillators provide good access to the pump wavelengths of interest (eg., about 3 to 7.5 micrometers) and can be used to provide tunable diamond Raman laser output by tuning the pump wavelength. Such optical parametric oscillator systems may comprise additional stages, for example amplifier stages to ensure the peak power of the pulsed pump radiation is sufficient to obtain threshold for the diamond Raman laser system. Examples of such amplifier stages may include an optical parametric amplifier.
(137) Based on the model predictions above, a suitable optical parametric oscillator (OPO) pump source needs to satisfy requirements for wavelength (between about 3 and 7.5 m), pulse energy (between about 1 mJ and about 10 J, pulse duration (between about 1 and 100 ns), linewidth (approximately less than or equal to about 2 cm.sup.1) and beam quality (brightness). Although OPOs in the 3 to 7.5 m range are readily available for applications such as gas sensing and defence countermeasures, the performance of published and available systems do not simultaneously fulfill all these requirements. Nevertheless, the methods and techniques for developing OPOs with the required properties are well established and understood to those skilled in the art. There are also many configurations of the OPO that are likely to be able to satisfy the requirements.
(138) In its most basic form, as depicted schematically in
(139) Example nonlinear materials 1701 include robust materials such as KTP, KTA and lithium niobate. KTA is used in preference to KTP for high average powers due to less absorption in the mid-IR wavelength region. Nonlinear materials such as zinc germanium phosphide and AgGaSe.sub.2 can also be used, however, scaling to the necessary peak powers may be more difficult due to the lower damage threshold of these nonlinear materials and furthermore these materials have the disadvantage that they cannot be pumped at wavelengths shorter than 2 microns precluding the use of standard pump laser sources such Nd-doped solid state lasers. The materials KTP, KTA and lithium niobate may be periodically poled to enable higher nonlinearities to be accessed.
(140) The efficiency of OPOs is typically 40-70% when considering the number output photons as a fraction of pump photons. Output energy in the output beam 1710 can be increased by increasing the energy in the pump beam 1706. In order to avoid optical damage to the elements of the OPO source, however, it may be necessary to also increase the size of the pump beam 1706 (i.e. the beam waist) in the nonlinear material 1701.
(141) The linewidth and beam quality of the output beam 1710 from OPO pump sources will, in general, not meet the requirements for pumping a diamond Raman laser as described above, unless the system is carefully designed. The linewidth is determined by the bandwidth of the resonator optics and the phase-matching conditions in the nonlinear crystal 1701 (but will not be greater than the sum of the pump linewidth and the other signal/idler beam). The linewidth of the output beam 1710 can be constrained by restricting the range of frequencies of the pump beam 1706 and either the signal 1707 or idler 1709 beams as is well known by the skilled addressee. This is often achieved by using additional line selective elements within the OPO resonator 1703 such as a grating, prism or etalon (not shown).
(142) In alternate arrangements as would be appreciated by the skilled addressee, the OPO 1700 and the pump beam source 1705 may share the same resonator in what is often called an intracavity OPO. This is often used in high pulse rate systems to enable efficient conversion at low pulse energy.
(143) When scaling output energy in the output beam from the OPO by scaling of the spot size of the pump beam in the nonlinear material, it is often difficult to maintain high beam quality. Moreover, output scaling of narrow-linewidth OPOs is also difficult due the typically low damage threshold of line selective elements (e.g. gratings, prisms or etalons). A good method, for overcoming these problems is to use an injected seeded OPO 1810 as shown schematically in
(144) Operating the pump laser at low repetition rate may also be advantageous for increasing the optical peak power in the pump beam. The seed laser or master oscillator (1813, 1823 respectively) is often an OPO pumped by the same pump laser as the main power OPO or OPA, but could be a separate laser. An advantage of the injection seeded OPO arrangements is that much higher gains are possible so that very low injection energies are required.
(145) There are many examples of OPOs with performance characteristics in the vicinity of the requirements for pumping the mid- to far-infrared diamond Raman lasers systems disclosed herein. For example:
(146) Das [S. Das, IEEE Journal Of Quantum Electronics, Vol. 45, No. 9, September 2009] describes a good example of a 1064 nm pumped KTA OPO, with 10% conversion to 3.5 microns, pulse energies 2-5 mJ, pulse duration 10 ns and linewidths 0.5-2 cm.sup.1.
(147) Wu [Rui Fen Wu, et al, Multiwatt mid-IR output from a Nd:YALO laser pumped intracavity KTA OPO Optics Express, Vol. 8, Issue 13, pp. 694-698] also describes an example of an intracavity 3.5 micron KTA OPO operating with 4 W of average power, which may be modified for suitability for pumping diamond Raman lasers and improved by increasing the pulse energy. This could be achieved by, for example, decreasing the pulse repetition rate, and reducing the linewidth by including a line selective element.
(148) Johnson [B. C. Johnson, V. J. Newell, J. B. Clark, and E. S. McPhee, J. Opt. Soc. Am. B/Vol. 12, p 2122 (1995)] shows an injection seeded power OPO operating with simultaneously high pulse energy, narrow linewidth and high output beam quality. Johnson's design could be modified for suitability for generating the required mid-IR wavelengths by applying the design principles discussed therein to a mid-infrared OPO system.
(149) An example of a suggested practical design of an OPO pump source 1830 with an output beam 1840 aimed to satisfy the linewidth, beam quality and peak power requirements for pumping a mid- to far-infrared diamond Raman lasers systems disclosed herein is shown schematically in
(150) The techniques described above may be adapted to create suitable diamond Raman laser pump sources with wavelength in the range 5-7.5 microns.
(151) Solid State Laser Pump Sources
(152) As mentioned above, a solid state laser source with suitable wavelength and optical characteristicsi.e. wavelength between 3 and 7.5 m, pulse energy between about 1 mJ and about 10 mJ, pulse duration between about 1 and 20 ns, linewidth approximately less than or equal to about 10 cm.sup.1 (for example between about 0.1 and about 10 cm.sup.1for linewidths less than about 0.1 cm.sup.1, active line-narrowing may also be employed) and good beam quality (brightness)may also be used to pump the diamond Raman laser systems disclosed herein. For example Er:YAG is a widely used laser material generating high energy and high power near 2.9 microns, and can be operated in Q-switched mode to generate high peak powers. An example source with a pump wavelength of about 3.8 m can be realised by Raman shifting an Er:YAG laser using the 768 cm.sup.1 Raman shift of potassium gadolinium tungstate (KGW) to give a Raman converted output from the diamond Raman laser system of about 7.5 m. Other nearby wavelengths are possible by changing the composition of the laser Er laser host (eg. Er:YSGG) or the tungstate Raman material in the pump source. Further potential sources of 3 to 4 micrometer pump light include Raman shifted output of holmium and thulium doped lasers (which are good sources of pump laser light near 2 microns). The holmium laser material Cr:Tm:Ho:YAG can be operated in Q-switched mode to generate high peak powers at 2.1 micrometers, which can then be Raman shifted to provide a pump wavelength in the 3 to 4 micrometer range.
(153) Other solid state pump sources with output wavelengths in the range of between about 3 m to about 7.5 m may also be developed using suitable combinations of rare-earth-doped laser materials, i.e. a solid state host material (glass, crystal, polymer, or ceramic material) doped with a lanthanide (e.g. erbium, holmium, thulium, praseodymium, ytterbium) or other suitable impurity ion (e.g. cerium), together with suitable solid state nonlinear and/or Raman-active materials to convert the fundamental laser output from the laser material to a wavelength in the desired range for pumping of the diamond Raman laser system. Suitable material combinations would be readily selected by the skilled addressee, however, the pump source also would need to meet the pump beam quality requirements as discussed above in relation to the modelling of the diamond Raman laser systems for efficient operation thereof.
(154) The diamond Raman laser systems and methods of operation described herein, and/or shown in the drawings, are presented by way of example only and are not limiting as to the scope of the invention. Unless otherwise specifically stated, individual aspects and components of the systems and methods described herein may be modified, or may have been substituted therefore known equivalents, or as yet unknown substitutes such as may be developed in the future or such as may be found to be acceptable substitutes in the future. The systems and methods described herein may also be modified for a variety of applications while remaining within the scope and spirit of the claimed invention, since the range of potential applications is great, and since it is intended that the present systems and methods described herein be adaptable to many such variations.