HIGH POWER RAMAN FIBER LASER
20240063598 ยท 2024-02-22
Inventors
Cpc classification
H01S3/0085
ELECTRICITY
H01S3/094007
ELECTRICITY
H01S3/10023
ELECTRICITY
International classification
H01S3/10
ELECTRICITY
Abstract
A high-power Raman fiber laser includes: a seed laser; a plurality of pump lasers, each including a cladding and comprising of thulium-doped fiber laser (TDFL) and configured to operate in a 1935-2020 nm spectral window; a pump/seed combiner to combine outputs of the pump lasers and output of the seed laser and having a tapered portion including a cladding; and a Raman fiber amplifier having a core and a cladding surrounding the core, the seed laser is launched into the core, and pump laser output beams are launched into the cladding, to amplify the seed laser to produce an amplified output signal, and a brightness of the cladding of the Raman fiber amplifier is matched to a combined brightness of the plurality of pump lasers.
Claims
1. A high-power Raman fiber laser comprising: a seed laser configured to operate in a first spectral window; a plurality of pump lasers, each including a cladding and comprising of thulium (Tm)doped fiber laser (TDFL), and configured to operate in a 1935-2020 nm spectral window; a pump/seed combiner to combine outputs of the pump lasers and output of the seed laser; the pump/seed combiner having a tapered portion including a cladding; and a Raman fiber amplifier having a core and a cladding surrounding the core, wherein the seed laser is launched into the core, and pump laser output beams are launched into the cladding, to amplify the seed laser to produce an amplified output signal having a wavelength in the first spectral window, wherein a brightness of the cladding of the Raman fiber amplifier is configured to match to a combined brightness of the plurality of pump lasers.
2. The high-power Raman fiber laser of claim 1, wherein Tm-doping concentration of each of the plurality of pump lasers is equal or greater than 5% wt, and wherein the first spectral window comprises wavelengths in 2100-2200 nm range.
3. The high-power Raman fiber laser of claim 1, wherein a brightness of the Raman fiber amplifier is configured to match to a brightness of the cladding of the tapered portion of the pump/seed combiner.
4. The high-power Raman fiber laser of claim 1, wherein the pump/seed combiner is fusion-spliced with the Raman fiber amplifier.
5. The high-power Raman fiber laser of claim 1, wherein a number of the plurality of pump lasers N.sub.max is given by:
6. The high-power Raman fiber laser of claim 1, wherein the seed laser is configured to output a sequence of pulses having a duration of 1-3 nano seconds or shorter that are time-synchronized and temporally overlapped with pulses produced by the plurality of pump lasers.
7. The high-power Raman fiber laser of claim 6, wherein a pulse waveform corresponding to the sequence of pulses output by the seed laser comprises a high pulse repetition frequency of 100 MHz or higher and a pulse duty factor of 1% or higher.
8. The high-power Raman fiber laser of claim 1, wherein a cladding-to-mode area ratio (CMAR) of the Raman fiber amplifier is selected to limit a cladding to mode diameter ratio between 2.5-2.8.
9. The high-power Raman fiber laser of claim 1, wherein the core of the Raman fiber amplifier has an effective fundamental-mode field diameter of 5 ?m or greater.
10. The high-power Raman fiber laser of claim 1, wherein the Raman fiber amplifier is configured such that a favored fundamental mode in the Raman fiber amplifier has a higher gain than any other mode in the Raman fiber amplifier.
11. The high-power Raman fiber laser of claim 1, wherein a central portion of the core of Raman fiber amplifier is doped with GeO.sub.2, and wherein a fraction of the core diameter including the GeO.sub.2 doping and a magnitude of the GeO.sub.2 concentration within the fraction of the core diameter, are both varied to achieve a desired gain filtering.
12. The high-power Raman fiber laser of claim 8, wherein a portion of the core of Raman fiber amplifier that is outside of the GeO.sub.2 doping is doped with alumina (Al.sub.2O.sub.3).
13. The high-power Raman fiber laser of claim 1, wherein a desired gain filtering in the Raman fiber amplifier is achieved based on at least two of: GeO.sub.2 concentration in the core, spatial variation of the GeO.sub.2 concentration between a plurality of regions of the core, a pump-cladding refractive index, core and pump-cladding diameters, and the core and cladding numerical apertures.
14. A method for operating a high-power laser, the method comprising: operating a seed laser in a first spectral window; operating a plurality of pump lasers in a second spectral window, each including a cladding and comprising of thulium-doped fiber laser (TDFL); combining outputs of the pump lasers and output of the seed laser using a pump/seed combiner having a tapered portion including a cladding; and amplifying the seed laser, using a Raman fiber amplifier having a core and a cladding surrounding the core, to produce an amplified output signal having a wavelength in the first spectral window, wherein the seed laser is launched into the core, and pump laser output beams are launched into the cladding.
15. The method of claim 14, wherein Tm-doping concentration of each of the plurality of pump lasers is equal or greater than 5% wt, and wherein the first spectral window comprises wavelengths in 2100-2200 nm range and the second spectral window comprises wavelengths in 1935-2020 nm range.
16. The method of claim 14, wherein a brightness of the pump cladding within the Raman fiber amplifier is configured to match to a combined brightness of the plurality of pump lasers.
17. The method of claim 14, wherein the seed laser is configured to output a sequence of pulses having a short duration of 1-3 nano seconds or shorter, that are time-synchronized and temporally overlapped with pulses produced by the plurality of pump lasers.
18. The method of claim 14, wherein a cladding-to-mode area ratio (CMAR) of the Raman fiber amplifier is selected to limit a cladding to mode diameter ratio between 2.5-2.8.
19. The method of claim 14, further comprising doping a central portion of the core of the Raman fiber amplifier with GeO.sub.2, wherein a fraction of the core diameter doped with GeO.sub.2 and a magnitude of the GeO.sub.2 concentration within the fraction of the core diameter are varied to achieve a desired gain filtering.
20. The method of claim 14, further comprising: controlling gain filtering in the Raman fiber amplifier based on at least two of: GeO.sub.2 concentration in the core, spatial variation of the GeO.sub.2 concentration between a plurality of regions of the core, a pump-cladding refractive index, core and pump-cladding diameters, and the core and cladding numerical apertures.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0017] The components in the figures are not necessarily to scale, emphasis instead being placed upon illustrating the principals of the invention. Like reference numerals designate corresponding parts throughout the different views. Embodiments are illustrated by way of example and not limitation in the figures of the accompanying drawings, in which:
[0018]
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[0028]
DETAIL DESCRIPTION
[0029]
[0030] As illustrated in
??=hc|??|/?.sub.p.sup.2,(1)
[0031] This corresponds to the fraction of pump-beam photon energy spent into exciting matter vibrations (also referred to as optical phonons) within the Raman-active material in the Raman amplifier. Relevant values of ?E reflect specific properties of the Raman-active material. In Eq. (1), c denotes the vacuum speed of light, h is Planck's constant, and ?.sub.p is the pump-beam wavelength.
[0032] In the architecture of
[0033] In some embodiments, the Raman fiber amplifier includes germanium (Ge)-doped fused silica as the Raman active material. In Ge-doped fused-silica fibers, the Raman gain peaks at ???0.054 eV, which corresponds to an optical frequency shift ?13 THz. By substituting this value of ?? into Eq. (1), the pump wavelength ?.sub.p correspondingly lies within the ?1935-2020 nm window, for effective power-transfer via Raman process into a seed having wavelength ?.sub.s in the 2100-2200 nm window. In this spectral region, the pump TDFLs are known to conveniently operate at peak optical efficiency. Moreover, the high-power Raman laser of the present disclosure does not require anomalously high Ge doping concentrations, which might complicate fiber fabrication and diminish reliability. As a result, the disclosed architecture is both practical and readily sourced from commercially available components, and affords high overall efficiency as the optical efficiency of the Raman fiber amplifier can approach the pump/seed quantum defect limit (>90%), not being diminished by excess loss caused by material impurities and other imperfections typical of immature fibers.
[0034] In some embodiments, additional innovative concepts, which are described in detail below, are included in the laser architecture to be uniquely viable for advanced LiDAR and directed-energy applications. These concepts include one or more of specific pulsed regimes of operation, fiber-optic components and specialty fiber characteristics to further improve the architecture.
[0035]
[0036] MO 401 is followed by an electro-optic intensity modulator 402, such as an electro-optic lithium-niobate Mach-Zehnder modulator driven by an electronically generated voltage waveform and designed to chop the CW emission from the MO into a stream of optical pulses. Two optical pulse formats are of interest for LiDAR and directed-energy applications. An optional electro-optic time-gating intensity modulator 403 increases the on/off pulse contrast. An optional electro-optic phase modulator 404, is used to impart application-driven phase patterns. Control electronics 407 provide controls for Electro-optic intensity modulator 402, optional electro-optic time-gating intensity modulator 403 and optional electro-optic phase modulator 404.
[0037] A fiber-coupled bandpass filter and Faraday optical isolator 405 suppresses broadband amplified spontaneous emission and optical feedback, respectively. A Tm-doped amplifier fiber chain 406 combined with another fiber-coupled bandpass filter and Faraday optical isolator 405 and optional electro-optic time-gating intensity modulator 403 (N is the number of amplifier stages, e.g., 2 or 3) provides signal amplification to produce the output beam 408.
[0038]
[0039] As shown, for LiDAR applications, it is desirable to generate nanosecond-long pulses at pulse repetition frequency (PRF) of 10 s to 100 s of kHz and, in some cases, higher (>1 MHz). In particular, pulses of ?1 ns duration are especially desirable, because they are short enough to yield ?30 cm range resolution (typically viable for long-range LiDAR), but long enough to avoid the need for broadband (>1 GHz) processing optoelectronics that might be difficult to ruggedize for harsh field-deployment conditions.
[0040] For directed energy applications, a TDFL optical intensity modulator (e.g., the electro-optic intensity modulator 402 in
[0041] The pulse format is designed to yield high peak power P.sub.peak of at least several kW or higher. The high value of P.sub.peak maximizes the efficiency of the Raman amplification process for which the TDFLs are intended to serve as the pump source. In addition to increasing the Raman amplification efficiency, LiDAR applications specifically require high pulse energy and peak powers to maximize the return signal at a given range. In order to maximize pulse energy and peak power, the pulse streams generated by each member of the TDFL array are time-synchronized so that the pulse energies and peak power stack additively. In some embodiments, as a way to ensure such pulse synchronization, a single MO may be used as the starting point for all TDFLs in the array. In directed-energy applications, the pulses can be synchronized or not, given that only average power matters in this case. In particular, in such applications, the pulses can be time-synchronized to maximize Raman amplification efficiency.
[0042] Besides producing these programmed pulse formats, the TDFLs also generate high pulse power, which is obtained by transmitting the intensity-modulated pulsed MO output through a series of Tm-doped amplifier fibers, as shown in
[0043] In some embodiments, the Tm-doped fibers used in the individual amplifier chains in
[0044] In some embodiments, the generation of high power from TDFLs maximizing the pump power for the Raman fiber amplifier is obtained by increasing the number of elements in the TDFL array while operating each TDFL within safe limits, rather than attempting to power-scale individual TDFLs beyond conditions for practical thermal management.
[0045] Efforts for scaling Raman fibers to wavelengths in the long-wave regime have been made earlier, but at lower power levels. For example, starting with a Yb:Er pump laser operating at 1608 nm, a sequence of 4 consecutive Stokes shifts in a single Raman fiber amplifier produced an output wavelength of 2200 nm. However, the power was <1 W, and no report was made of the beam quality. There are no current demonstrations from others, nor any obvious indications of near-term demonstrations from others of either high-power CW or pulsed Raman fiber lasers in the desired spectral range of 2100-2200 nm.
[0046]
[0047] The output of the combiner 604 is fusion-spliced to a Raman fiber 605 utilized as a Raman fiber amplifier to transfer power from the pumping TDFL to the master-oscillator output beam. The output of the Raman fiber is finally transmitted through a fiber-coupled optical bandpass filter and Faraday optical isolator 606 (for example, integrated in the same component) to generate an output beam 607. In some embodiments, the architecture of the seed laser itself is structurally similar to the architecture of the Raman fiber laser source shown in
[0048] In some embodiments, the seed laser generates a beam having a wavelength in the 2100-2200 nm window, with the specific value of the wavelength being dictated primarily by the intended application. In some embodiments, the seed laser generates optical pulses that are time-synchronized, i.e., overlapped in time with the pulses generated by the pump TDFLs described above. In some embodiments, these pulses exhibit a narrow optical spectrum consistent with LiDAR or directed-energy applications that require high spectral brightness for reasons that include spectral discrimination against a broader background and beam combining. In some embodiments, the seed-laser generated optical pulses are time/bandwidth Fourier-transform limited.
[0049]
[0050] In this example, the FC includes multiple input pigtail fibers which, in some embodiment, are each connected to a pump TDFL for example as a delivery fiber and configured to receive pump light from one corresponding pump TDFL. The FC also features an input pigtail fiber, which is configured to receive the seed signal from the seed laser source described above.
[0051]
[0052] In some embodiments, each of the fibers in the input portion of the FC may include a core, cladding, and an outer surface consisting of a polymer jacket or jacketed glass-based outer cladding material. Some aspects of the FC include: (a) all input fibers are stacked together, bundled and heat-tapered into a common exit fiber such that both guiding cladding and core of this exit fiber match the spatial brightness of the Raman fiber amplifier (described below); (b) this FC exit fiber is fusion-spliced to the Raman fiber amplifier in such a way the light guided in both the core and cladding of the FC exit fiber is injected into the Raman fiber amplifier with negligible insertion optical loss occurring at the splice location; (c) unlike components similar in construction to the FC discussed here and described in the art as being used to combine pump and seed beams into the cladding and core, respectively, of a rare-earth-doped amplifier fiber (including such components used, for example, in the construction of individual TDFLs as described above), the FC in
[0053] This high-spatial-brightness design enables the FC exit fiber to match the etendue of the Raman fiber amplifier, including Raman fiber amplifiers featuring a considerably smaller pump cladding compared to the pump cladding of the conventional rare-earth-doped fibers. The design criterion of etendue (or spatial-brightness) matching between FC and the Raman fiber amplifier to which the FC exit fiber is fusion-spliced is further illustrated in
[0054] The plot in
[0055] Here, d.sub.R and NA.sub.R denote the pump-cladding diameter and pump-cladding NA of the Raman fiber amplifier, whereas d.sub.TDFL and NA.sub.TDFL denote the core diameter and core NA of each of the terminal fiber in each of the pump TDFLs. In the example illustrated in
[0056] In some embodiments, the input pigtail fibers in the FC can be tightly stacked or otherwise positioned within a capillary tube, a portion of which is shown as 707 in
[0057] In some embodiments, all such pigtail fibers entering the input portion of the FC are longitudinally down-tapered as shown in
[0058] In some cases, the outer diameters of the cores in the terminal fibers of the TDFLs (constituting input fibers for the FC) may not taper to less than about 10 mm to prevent the mode field guided therein from spreading significantly beyond the core boundaries, which would lead to unwanted optical power loss. To this end, in some embodiments, the cladding of each such FC input pigtail fiber can be etched, such as via treatment with a chemical agent like hydrogen fluoride, to taper the cladding while leaving the size of the core unchanged. In these embodiments, after being etched, the FC input fibers can be fused to each other with minimal or no further down-tapering. In other embodiments, the central fiber entering the FC, which is usually purposed to guide in its core the beam from the seed laser, may exhibit a stepwise refractive index profile around the core, such as when one or more concentric regions or pedestals have refractive indices that increase from the outside towards the center of the input pigtail fiber. Upon down-tapering, the initial core vanishes and is replaced by the surrounding pedestal so as to maintain a constant core size. In still other embodiments, other approaches for fabricating the FC input pigtail fibers can be used.
[0059] Although
[0060] In some embodiments, the laser architecture in
[0061] In some embodiments, the seed laser operates at a 2111 nm wavelength and emits a sequence of 1 ns pulses, time-synchronized and temporally overlapped with the pump TDFL pulses. The seed pulse sequence has a PRF=600 kHz, each pulse is 1 ns-long and the seed pulse energy is 100 nJ, corresponding to pulse peak power=100 W and an average power=60 mW.
[0062] In some embodiments, the Raman fiber amplifier exhibits a 25 ?m-diameter core and a 40 ?m diameter cladding. The pump beams from the TDFLs are fiber-coupled into the Raman fiber amplifier cladding, and the seed beam is fiber-coupled into the Raman fiber amplifier core.
[0063] Another application for the Raman fiber laser source disclosed here is directed energy (DE). In these applications, the goal is to generate a laser beam of high average power, typically of the order of 1 kW. Fiber lasers developed for DE applications generally operate in a CW mode, so one might consider increasing the fiber length to the point that a CW pump laser producing only ?2 kW can yield a gIL product that is sufficient to produce efficient Raman wavelength conversion. But a simple calculation shows that such a fiber length would approach ?35 m. Given that fiber-laser propagation losses in this target spectral range can become excessive, reaching 80 dB/km or more, the Raman conversion efficiency would suffer an unacceptable drop to ?45% or worse. In view of this, the present design employs a pulsed waveform that incorporates a pump peak-power level that is sufficiently high to produce a gIL product with an acceptable fiber length no longer than ?10 m and avoid excessive propagation loss.
[0064] In some embodiments, the laser architecture in
[0065] In some embodiments, based on the laser architecture in
[0066] In some embodiments, the Raman fiber amplifier exhibits a 10 ?m-diameter core and 27 ?m-diameter cladding. The pump beam from the TDFL is fiber-coupled into the Raman fiber amplifier cladding, and the seed beam is fiber-coupled into the Raman fiber amplifier core.
[0067] In some embodiments, the pulse waveform that is used in this example to address directed-energy applications includes (a) high PRF (e.g. 150 MHz) and pulse duty factor (?15%) to maximize the output average power, which is the quantity most relevant for the efficacy of directed-energy laser sources, and (b) short pulse duration (e.g., 1 ns), which affords suppression of stimulated Brillouin scattering and also results in high spectral brightness suitable for beam combining configurations.
[0068] In some embodiments, the Raman-fiber design parameters are optimized for an application, such as directed energy, that require a relatively large pump-cladding area to accommodate the multiple required pump beams. For some applications, the ratio of the pump-cladding area to the area of the desired core fundamental mode, i.e., the cladding-to-mode area ratio (CMAR) need to be in a certain range if one wishes to have a single-Stokes wavelength shift in the output wavelength relative to the pump wavelength. A practical CMAR can be as large as ?8, depending on the details of the architecture, and assuming a circular geometry, this CMAR limit leads to a limit on the cladding/mode diameter ratio of approximately 2.5-2.8. Assuming the core diameter is 25 ?m for the pulsed waveform, as stated in some of the above examples, with an approximate mode diameter of ?20 ?m, an acceptable pump-cladding diameter will be as large as ?45 ?m or more, which offers significant margin above our planned diameter of 35 ?m. In applying the CMAR criterion to Raman fiber lasers that might have a range of pump and Stokes wavelengths, the relevant cladding diameter is determined by the longest pump wavelength to be used. Conversely, the relevant Stokes mode diameter in the CMAR is that of the shortest Stokes wavelength to be generated.
[0069] An essential function of any high-power fiber design is to favor the fundamental core mode relative to any higher-order modes. This control becomes increasingly challenging as the laser signal power and the core size increase, since the larger core size will support an increasing number of modes that must be suppressed. The present Raman fiber design maintains operation in a single transverse mode by incorporating gain filtering. Gain filtering is achieved by designing the fiber such that the favored fundamental mode in the active fiber laser has a higher gain than any competing mode. Since the base medium of optical fibers in this spectral range is fused silica, which has appreciable Raman gain, the initial state for these fibers is essentially a uniform Raman gain profile across its entire cross-section, independent of the mode shapes.
[0070] The first step in modifying the Raman gain profile to achieve gain filtering is to dope the central portion of the fiber with GeO.sub.2, which locally increases the Raman gain in proportion to the GeO.sub.2 concentration. Spatially varying the GeO.sub.2 concentration changes the magnitude and spatial profile of the Raman gain, and this affects the Raman gain of any mode, depending on the mode's spatial overlap with the gain. But the GeO.sub.2 also changes the refractive-index profile, and this changes the shapes of the spatial modes. Therefore, the GeO.sub.2 concentration and spatial profile yield several simultaneous changes: the magnitude of the gain of any mode (i.e. the overlap integral between the mode and the GeO.sub.2), the index profile within the core and, hence, the spatial shapes of the modes and the core NA.
[0071] There is still one more degree of freedom, the pump-cladding refractive index, which also affects the core NA and the mode shapes. The required gain filtering is realized by quantifying these dependencies and developing an optimum combination of GeO.sub.2 doping concentration, its spatial profile, a uniform index within the core, the core and pump-cladding diameters, and the core NA (which is also affected by the pump-cladding index). The selection of the amount of GeO.sub.2 concentration may depend on and impact several functions of the Raman fiber and is therefore controlled. For example, GeO.sub.2 concentration affects the Raman gain, the refractive index in the core, the size and shape of the mode profiles. Since the index difference between the core and cladding is relevant, the GeO.sub.2 also affects the cladding refractive index and also the index of the fiber outside of the cladding. In some embodiments, GeO.sub.2 concentration is 8%.
[0072]
[0073] Note also that the portion of the core that is outside of the GeO.sub.2 will be doped with alumina (Al.sub.2O.sub.3), a common material for raising the refractive index within silica fibers without affecting the Raman gain. This enables us to achieve a constant index across the entire core, which ensures the minimal distortion of the optical modes. Note also that the alumina concentration in the pump cladding is less than in the core; this index difference is specified to produce the appropriate index step across the core/pump-cladding interface to produce a core NA of 0.06. The physical dimensions in this figure pertain specifically to the high-peak-power laser design. Although the dimensions in the high-average-power design will differ, the basic mode-control method is the same.
[0074] The specification of the core and pump-cladding dimensions, along with their NA values, has a substantial impact on the overall performance of the final Raman fiber laser, and in order to succeed, the design secures a balance between specific design elements that tend to push design parameters in different, and occasionally opposite, directions. This section describes designs for both the high-peak-power and high-average-power applications envisioned in this invention disclosure.
[0075] The pump-cladding diameter directly affects the pump intensity, and hence the fiber length that is required to achieve a required gIL value: high pump intensities enable short fiber lengths. In the present illustrative example of the high-average power Raman fiber design, we assume that the target output power is 1 kW, and that a total of 12 pump lasers is required.
[0076] The properties of the pump fibers are described above in connection with
[0077] As mentioned above, there is a practical limit on the CMAR. For a given core mode area, the CMAR establishes an upper limit on the pump-cladding area. But for a given set of pump beams, one can reduce the pump-cladding area, in accordance with the CMAR limit, by increasing the pump-cladding NA, but only to the NA limit, which was defined above.
[0078]
[0079] For this example of a total of 12 beams, the total BPP across the width of the array must be greater than or equal to 5 times the BPP of a single pump beam. We noted above that each beam will have a BPP of 3 mm.Math.mrad, but in this discussion we will assume the beam quality is 1.1 times diffraction-limited, which will increase the BPP per beam to ?3.3 mm.Math.mrad, and the total BPP of the width of the pump cladding will be 16.5 mm.Math.mrad. In order to minimize the total cross-sectional area of the pump beams, the NA of the pump cladding will be specified to be relatively high at 0.22, which corresponds to a half-angle acceptance of 220 mrad, and a full-angle acceptance of 440 mrad. The total physical width of the array is then 16.5 mm.Math.mrad/440 mrad=37 ?m. This dimension is shared by all of the 5 apertures across the cladding, which allows about 7.5 ?m for each beam
[0080] In some embodiments, the area of the outer circle that contains all 19 apertures in the figure will be 1075 ?m.sup.2, and a rough estimate of the area that carries the core and the pump beams, i.e., omitting the area of the gray apertures, will be 13/19=68% of the full-circle area, or 735 ?m.sup.2. According to the CMAR requirement above, the required minimum mode area will be?92 ?m.sup.2, corresponding to mode diameter of 11 ?m. Since the mode area scales with the wavelength, the smallest mode area will be for the shortest pump wavelength 1935 nm. A calculation shows that this mode diameter can be achieved with a 10 ?m core diameter and a core NA of 0.158. If it were preferred to provide some headroom and operate below the CMAR limit, reducing the core NA to 0.12 or 0.10 for the same 10 ?m core diameter would yield mode sizes of 14 and 18 ?m, respectively, reducing the CMAR. According to the quantitative estimates summarized above, the gray apertures in the figure are not required and are optional.
[0081] As stated above relative to
[0082] In some embodiments, a method for operating the high-power laser inlcudes: operating a seed laser in a first spectral window; operating a plurality of pump lasers in a second spectral window, each including a cladding and comprising of thulium-doped fiber laser (TDFL); combining outputs of the pump lasers and output of the seed laser using a pump/seed combiner having a tapered portion including a cladding; and amplifying the seed laser, using a Raman fiber amplifier having a core and a cladding surrounding the core, to produce an amplified output signal having a wavelength in the first spectral window, wherein the seed laser is launched into the core, and pump laser output beams are launched into the cladding.
[0083] In some embodiments, the Raman fiber laser source suppresses unwanted nonlinear optical effects, referred to as nonlinearities, in the Raman amplifier fiber.
[0084] To suppress these unwanted nonlinearities, the Raman fiber laser source includes a number of design solutions to be implemented in its construction. One such solution pertains to the ability to shape the temporal profile of the pulses in order to minimize the effects of self-phase modulation.
[0085] Consider two distinct pulse shapes:
[0086] Equation (3) defines a peak-normalized flat-top pulse temporal profile having flat portion of duration ? and linearly sloped edges with 0-100% rise/fall time ?.sub.0, and Eq. (4) provides the functional form of a peak-normalized Gaussian profile of full-width at half-maximum pulse width equal to T. The nonlinear optical phase shift, ??, characterizing pulses propagating in fiber can be expressed as
[0087] Here, n.sub.2 is the fused-silica nonlinear refractive index coefficient (?2.5?10.sup.?20 m.sup.2/W), P.sub.peak is the pulse peak power, f (t) is the peak-normalized pulse temporal profile, and L is the fiber length. To obtain Eq. (5), we assumed the pulse peak power and profile to remain constant through the length of the fiber, which is an acceptable approximation for the Raman fiber amplifier if we regard P.sub.peak as the sum of pump and 1.sup.st Stokes pulse power at each point along the fiber and take ?.sub.0 as equal to the average of pump and 1.sup.st Stokes wavelength.
[0088] The power spectral density, (v), corresponding to Eq. (5) can be obtained via Fourier transform:
[0089]
[0090] In some embodiments, the high-power Raman fiber lasers can suppress the generation of second-Stokes and higher-Stokes production by terminating the Raman medium at an appropriate length where the second-Stokes has not yet been initialized and started to grow, and/or by taking advantage of the natural silica-based propagation loss at the higher-Stokes wavelengths.
[0091] It will be recognized by those skilled in the art that various modifications may be made to the illustrated and other embodiments of the disclosure described above, without departing from the broad scope thereof. It will be understood therefore that the disclosure is not limited to the particular embodiments or arrangements disclosed, but is rather intended to cover any changes, adaptations or modifications which are within the scope and spirit of the disclosure as defined by the appended claims and drawings.