Reflection and/or Diffraction-Based Method and Setup to Generate High-Energy Terahertz Pulses
20220011645 · 2022-01-13
Inventors
- János Hebling (Pécs, HU)
- Gábor Almási (Kozármisleny, HU)
- László Pálfalvi (Pécs, HU)
- György Tóth (Pécs, HU)
Cpc classification
G02F1/3534
PHYSICS
International classification
Abstract
A technique to generate terahertz radiation is disclosed, where a pump beam (12) is coupled into an optical element (50) made of a medium with non-linear optical properties having plane-parallel front and rear boundary surfaces (51, 52), wherein the pump beam (12) is split into a set of partial pump beams (121) by reflection and/or diffraction on a periodic relief structure (53) of said optical element (50). The partial pump beams travels along a direction at an angle γ that satisfies the velocity matching condition of v.sub.p,cs, cos(γ)=v.sub.THz,f within the given medium, where v.sub.p;cs is the group velocity of the pump beam, v.sub.THz;f is the phase velocity of the terahertz radiation and the speed a planar envelope (212) travels toward the front boundary surface (51) of the optical element (50), and γ is the angle formed by the pulse front envelope and the phase front of the pump beam.
Claims
1. A method to generate terahertz radiation (60) comprising: providing a plane-parallel optical element (50) formed of medium with nonlinear optical properties having a plane entry surface (51) and a rear boundary surface (52) parallel to the entry surface (51), coupling a pump beam (12) into the optical element (50) through the entry surface (51), perpendicularly to the entry surface (51), directing said pump beam (12) along a first propagation direction to one of: a periodic relief structure (53) formed in the rear boundary surface (52) of the optical element (50); or a periodic relief structure (153) formed in a surface (151) of an additional element (150), said surface (151) facing the rear boundary surface (52), extending parallel to the rear boundary surface (52) and being optically coupled to the rear boundary surface (52) of the optical element (50), subjecting the pump beam (12) to at least one of reflection or diffraction, splitting thereby the pump beam (12) into partial beams (121), said partial beams (121) having a common planar envelope (212), and generating terahertz radiation (60) by the partial beams (121), as pump beams, in the nonlinear optical medium through nonlinear optical interaction, and decoupling the terahertz radiation (60) from the optical element (50) through the entry surface (51), wherein said one of the periodic relief structure (53; 153) comprises: at least first zones perpendicular to the first propagation direction and parallel to each other, individual ones of said first zones having a symmetrical V-shape in a plane section along the first propagation direction, a magnitude of angles formed by legs of said V-shape and the rear boundary surface (52) being half an angle (γ) of pulse-front-tilting required to satisfy the velocity matching condition of
v.sub.p,cs cos(γ)=v.sub.THz,f (1) within the optical medium, wherein v.sub.p;cs is a group velocity of the pump beam (12), v.sub.THz;f being is a phase velocity of the terahertz radiation (60) and γ is the angle of pulse-front-tilting, and wherein, after said reflection and/or diffraction, the partial beams (121) propagate at an angle γ to the first propagation direction, and the planar envelope (212) travels at a speed V.sub.THz;f towards the entry surface (51) of the optical element (50).
2. The method according to claim 1, further comprising directing the pump beam (12) along the first propagation direction to the periodic relief structure (53; 153) and subjecting the pump beam (12) to reflection, wherein said periodic relief structure (53; 153) further comprises second zones perpendicular to the first propagation direction, parallel to each other, and arranged alternately with said first zones, wherein each of said second zones form an angle with the rear boundary surface (52) which results in pulse-front-tilting the pump beam (12) to an angle which is insufficient to satisfy the velocity matching condition of relation (1).
3. The method according claim 2, wherein the second zones are substantially parallel to the rear boundary surface (52).
4. The method according to claim 2, wherein a width (u) of said second zones is at most 5% of a width (2w) of said first zones.
5. The method according to claim 1, further comprising separating the terahertz radiation (60) from the pump beam (12) for further use after being detached from the optical medium.
6. The method according to claim 1, further comprising of separating the terahertz radiation (60) from the pump beam (12) by arranging a dichroic mirror in the path of the terahertz radiation (60).
7. The method according to claim 1, further comprising separating the terahertz radiation (60) from the pump beam (12) by slightly rotating the optical element (50) about an axis perpendicular to the first propagation direction.
8. The method according to claim 1, wherein the non-linear optical medium is lithium niobate (LN), lithium tantalate (LT), or a semiconductor selected from the group consisting of GaP, ZnTe, and GaAs.
9. (canceled)
10. The method according to claim 1, wherein the pump beam (12) is a laser pulse in the visible, near-infrared or medium-infrared range, with a pulse length ranging from at least 5 femtoseconds to at most a few picoseconds.
11. An optical element to generate terahertz radiation (60) with a pump beam (12), the optical element comprising: a medium with non-linear optical properties bounded in longitudinal direction by front and rear boundary surfaces (51, 52) parallel to each other, and including a periodic relief structure (53) formed in the rear boundary surface (52), said relief structure (53) comprising at least first zones perpendicular to the longitudinal direction and parallel to each other, each of said first zones having a symmetrical V-shape in a plane section along the longitudinal direction, a magnitude of angles formed by legs of said V-shape and the rear boundary surface (52) being half an angle (γ) of pulse-front-tilting required to satisfy the velocity matching condition of
v.sub.p,cs cos(γ)=v.sub.THz,f (1) within the optical medium, wherein (1) v.sub.p;cs is a group velocity of the pump beam (12), V.sub.THz;f being is a phase velocity of the terahertz radiation (60) and γ is the angle of pulse-front-tilting.
12. An optical element to generate terahertz radiation (60) with a pump beam (12) comprising: the optical element, the optical element being formed of a medium with non-linear optical properties bounded in longitudinal direction by front and rear boundary surfaces (51, 52) parallel to each other, wherein the rear boundary surface (52) of the optical element (50) is optically coupled to a surface (151) of an additional element (150), said surface (151) facing the rear boundary surface (52) and extending parallel to the rear boundary surface (52), wherein a periodic relief structure (153) is formed in said surface (151), said relief structure (153) comprising at least first zones perpendicular to the longitudinal direction and parallel to each other, individual ones of said first zones having a symmetrical V-shape in a plane section along the longitudinal direction, a magnitude of angles formed by legs of said V-shape and the rear boundary surface (52) being half an angle (γ) of pulse-front-tilting required to satisfy the velocity matching condition of
v.sub.p,cs cos(γ)=v.sub.THz,f (1) within the optical medium, (1) wherein v.sub.p;cs is a group velocity of the pump beam (12), v.sub.THz;f is a phase velocity of the terahertz radiation (60) and γ is the angle of pulse-front-tilting.
13. The optical element according to claim 12, wherein the additional element (150) is made of a metal.
14. The optical element according to claim 12, wherein a metal coating is applied to the periodic relief structure (153) formed in the surface (151) of the additional element (150) facing the rear boundary surface (52), said gold layer having a layer thickness up to a few microns.
15. The optical element according to claim 12, wherein a refractive index matching medium (155) is arranged between the rear boundary surface (52) and the surface (151) of the additional element (150) facing the rear boundary surface (52) to provide the optical coupling.
16. The optical element of claim 15, wherein the refractive index matching medium (155) is a semiconductor nanocrystal emulsion.
17. The optical element according to claim 11, wherein the periodic relief structure (53; 153) is a blazed relief structure.
18. The optical element according to claim 11, wherein the periodic relief structure (53; 153) further comprises second zones perpendicular to the longitudinal direction, parallel to each other, and arranged alternately with said first zones, individual ones of said second zones forming an angle with the rear boundary surface (52) which results in pulse-front-tilting the pump beam (12) to an angle which is insufficient to satisfy the velocity matching condition of relation (1).
19. The optical element of claim 18, wherein the second zones are substantially parallel to the rear boundary surface (52).
20. The optical element according to claim 18, wherein a width (u) of the second zones is at most 5% of a width (2w) of the first zones.
21. The optical element according to claim 11, wherein the medium with nonlinear optical properties is made of a substance having a nonlinear optical coefficient of at least 160 pm/V, whose refraction indices in the terahertz and the visible domains significantly differ from each other.
22. The optical element according to claim 11, wherein the medium with nonlinear optical properties is lithium niobate (LiNbO3), lithium tantalate (LiTaO3), or a semiconductor selected from the group consisting of GaP, ZnTe., and GaAs.
23. (canceled)
24. A terahertz radiation source (100; 100′), comprising a pump source (10) to emit and couple a pump beam (12) into a light path; an optical element (50) according to claim 11 arranged in the light path in such a way that the front and rear boundary surfaces (51, 52) are substantially perpendicular to said light path to generate the terahertz radiation (60); a mechanism to separate the terahertz radiation (60) exiting the optical element (50) and the pump beam (12) coupled into the light path.
25. The radiation source (100, 100′) according to claim 24, wherein the mechanism comprises a dichroic mirror (70) arranged in the path of the generated terahertz radiation (60).
26. The radiation source (100, 100′) according to claim 24, wherein the mechanism comprises a tilting mechanism which slightly tilts the front boundary surface (51) of the optical element (50) in the light path relative to the pump beam (12) striking substantially perpendicular onto said front boundary surface (51).
27. The radiation source (100, 100′) according to claim 24, wherein the pump source (10) is a pump source configured to emit laser pulses in the visible, near-infrared or medium-infrared range, with a pulse length ranging from at least 5 femtoseconds to at most a few picoseconds.
28. The method according to claim 1 further comprising using the generated terahertz radiation (60) to monochromatize and synchronously accelerate electrically charged particles.
29. The optical element according to claim 12, wherein the additional element (150) is made of at least one of stainless steel and aluminum.
30. The optical element according to claim 12, wherein a gold layer is applied to the periodic relief structure (153) formed in the surface (151) of the additional element (150) facing the rear boundary surface (52), said gold layer having a layer thickness up to a few microns.
31. The optical element according to claim 12, wherein the periodic relief structure (153) is a blazed relief structure.
32. The optical element according to claim 12, wherein the periodic relief structure (153) further comprises second zones perpendicular to the longitudinal direction, parallel to each other, and arranged alternately with said first zones, individual ones of said second zones forming an angle with the rear boundary surface (52) which results in pulse-front-tilting the pump beam (12) to an angle which is insufficient to satisfy the velocity matching condition of relation (1).
33. The optical element of claim 32, wherein the second zones are substantially parallel to the rear boundary surface (52).
34. The optical element according to claim 32, wherein a width (u) of the second zones is at most 5% of a width (2w) of the first zones.
35. The optical element according to claim 12, wherein the medium with nonlinear optical properties is made of a substance having a nonlinear optical coefficient of at least 160 pm/V, whose refraction indices in the terahertz and the visible domains significantly differ from each other.
36. The optical element according to claim 12, wherein the medium with nonlinear optical properties is lithium niobate (LiNbO3), lithium tantalate (LiTaO3), or a semiconductor selected from the group consisting of GaP, ZnTe, and GaAs.
Description
[0036]
[0037] The terahertz radiation 60 generated in the optical element 50 exits the optical element 50 through the inlet surface 51 and thus becomes usable for further applications.
[0038] The material of the optical element 50 has got a high nonlinear optical coefficient and is transparent at the wavelength of the pump beam. Examples of such materials are LN and LT, as well as several semiconductors, such as ZnTe, GaP, GaAs, GaSe.
[0039] The pump source 10 is preferably a laser source capable of emitting laser pulses, i.e., the pump beam 12, with a pulse length of at least 5 fs but at most a few hundred fs in the visible, near or medium infrared range, e.g. a diode-pumped Yb laser emitting at a central wavelength of 1030 nm, a titanium-sapphire laser emitting at a central wavelength of 800 nm, or a Ho laser emitting at a central wavelength of 2050 nm. Other lasers and optical parametric amplifiers can also be used as the pump source 10.
[0040] The periodic relief structure 53 is formed by a machining process (e.g., micromilling) known to a person skilled in the art in accordance with the enlarged part A or B of
[0041] The pump beam 12 arrives at the elements of width w of the relief structure 53 formed in the rear boundary surface 52 of the optical element 50 with an angle of incidence γ/2. This angle is greater than the limit of the total reflection for both LN and LT and most semiconductors (e.g., GaP, ZnTe). Thus, the reflection efficiency is high even without making use of reflection efficiency enhancing layers 54. Otherwise, it will be necessary to use a reflection efficiency enhancing layer 54.
[0042] The refractive indices of LN and LT for the pump beam 12 are, in general, greater than 2, and the refractive indices of most semiconductors approach or even exceed the value of 3. Therefore, in order to reduce reflection losses, it is preferable (but not necessary) to apply an antireflection coating well-known to a person skilled in the art on the entry plane 51 of the optical element 50.
[0043] The optical element 50 is made of a material which has an exceptionally high non-linear optical coefficient, i.e. the magnitude of which preferably is, in practice, at least 1 pm/V, typically higher than several tens pm/V. The optical element 50 is preferably made of LN or LT, as well as semiconductor materials, e.g. of GaP or ZnTe, preferably with a crystal axis orientation that is the most advantageous in terms of the generation efficiency of nonlinear optical processes, e.g. terahertz radiation generation through optical rectification.
[0044] Since the optical element 50 used in the terahertz beam source 100 has plane-parallel front and rear boundary surfaces, and both the pump beam 12 and the terahertz radiation 60 generated propagate perpendicular to these surfaces (in opposite directions), there is a need to separate the pump beam 12 and the terahertz beam 60. This can be done by well-known techniques.
[0045]
[0046]
[0047] In order to operate the terahertz source 100 according to the present invention with high efficiency, the half-period w of the periodic structure 53 of the optical element 50 is chosen to be less than a half, preferably a third, more preferably a quarter of the wavelength of the terahertz radiation 60 within the optical element 50. This choice ensures that the phases of terahertz radiation generated at different parts of the pulse front 211 segments do not differ significantly from each other, and thus, constructive interference takes place amongst them. The length L of terahertz-generation is preferably in the order of cm, more preferably 5 to 15 mm, most preferably 5 to 10 mm, and depends on the material quality of the optical medium itself.
[0048]
[0049]
[0050] The lower generation efficiency belonging to the setup according to the present invention is fully compensated by the fact that its design/construction is significantly simpler than that of the previous terahertz-generation schemes, and the setup itself contains significantly fewer elements, so that a more compact design is possible. Furthermore, the setup according to the invention does contain no imaging element, thus when used, there are, of course, no imaging errors and, hence, no associated pump pulse elongation appears.
[0051]
[0052] A detailed description of the model underlying the derivation of each of the curves shown in
[0053] It is also important to note that the radiation source 100 comprising the setup according to the present invention—when using with a suitable pump laser—is also capable of producing any number of multi-cycle terahertz pulses at high efficiency.
[0054] Summary: A novel terahertz generation setup suitable for generating high-energy terahertz radiation with a periodic structure formed in the rear-side surface of a nonlinear optical medium bounded by planar front-side (entry) and rear-side surfaces has been elaborated. The greatest advantage of the obtained setup is that the nonlinear optical crystal can be used in the setup as a unit with parallel surfaces. As a result, terahertz beams with excellent beam quality and physical properties can be generated at high generation efficiency. Since the setup does not include imaging optics or a separately adjustable optical grating, the size of the pump beam and thus the energy of the terahertz pulses generated in the setup can be arbitrary in practice. The terahertz radiation source and method according to the invention based on the inventive setup is particularly advantageous in the production of high-energy terahertz radiation which requires the usage of wide pump beams.