MODE-MATCHING A PLURALITY OF OPTICAL BEAMS TO A CORRESPONDING PLURALITY OF OPTICAL POWER AMPLIFIERS
20250210931 ยท 2025-06-26
Inventors
Cpc classification
H01S3/10015
ELECTRICITY
G01N21/255
PHYSICS
H01S3/0071
ELECTRICITY
H01S3/10023
ELECTRICITY
International classification
H01S3/00
ELECTRICITY
H01S3/10
ELECTRICITY
G01N21/25
PHYSICS
Abstract
Apparatus and associated methods relate to mode matching a plurality of optical beams to a corresponding plurality of optical power amplifiers. The mode-matched plurality of beams is generated by mode matching a single laser beam and then splitting the mode-matched beam into the plurality of beam-split portions. Each of the plurality of beam-split portions is then guided to a corresponding one of a plurality of optical power amplifiers that amplifies the beam-split portion guided thereto. Optical path lengths between the mode-matching optics and the plurality of optical power amplifiers are created to be substantially equal to one another thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers.
Claims
1. A system for measuring metrics of an atmosphere, the system including: a laser configured to generate a laser beam; mode-matching optics configured to receive the laser beam generated by the laser and to generate a mode-matched optical beam therefrom; a plurality of beam splitters configured to split the mode-matched optical beam into a plurality of beam-split portions; and a plurality of optical power amplifiers, each configured to receive and amplify a corresponding one of the plurality of beam-split portions of the mode-matched optical beam, optical path lengths between the mode-matching optics and the plurality of optical power amplifiers being substantially equal to one another thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers; a plurality of optical projectors configured to project a plurality of projected beams into an atmosphere, each of the plurality of optical projectors configured to project a corresponding one of the plurality of amplified beams thereby projecting a corresponding one of the plurality of projected beams; a plurality of optical receivers configured to receive a plurality of received beam-split portions of the plurality of projected beams backscattered by the atmosphere, each of the plurality of optical receivers aligned so as to receive a corresponding one of the plurality of received beam-split portions of the plurality of projected beams backscattered by the atmosphere; and an air-data calculator configured to calculate metrics of air data based on the plurality of received beam-split portions.
2. A system for optical mode matching a plurality of optical beams to a corresponding plurality of optical power amplifiers, the system including: a laser configured to generate a laser beam; mode-matching optics configured to receive the laser beam generated by the laser and to generate a mode-matched optical beam therefrom; a plurality of beam splitters configured to split the mode-matched optical beam into a plurality of beam-split portions; and a plurality of optical power amplifiers, each configured to receive and amplify a corresponding one of the plurality of beam-split portions of the mode-matched optical beam, optical path lengths between the mode-matching optics and the plurality of optical power amplifiers being substantially equal to one another thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers.
3. The system of claim 2, wherein each of the plurality of beam-split portions of the mode-matched optical beams has an amplitude that is substantially equal in amplitude with others of the plurality of beam-split portions of the mode-matched optical beams.
4. The system of claim 3, wherein each of the plurality of beam splitters includes: first and second right-triangular isosceles prisms sandwiching a beam-splitting layer between hypotenuse faces of the first and second right-triangular isosceles prisms.
5. The system of claim 4, wherein the plurality of beam-split portions of the mode-matched optical beam includes first, second, third, and fourth beam-split portions of the mode-matched optical beam.
6. The system of claim 5, wherein the plurality of beam splitters includes: a first beam splitter configured to receive the mode-matched optical beam and to split the mode-match optical beam into first and second intermediate beams that are substantially equal in amplitude with one another; a second optical splitter configured to receive the first intermediate beam and to split the first intermediate beam into the first and second beam-split portions that are substantially equal in amplitude with one another; and a third optical splitter configured to receive the second intermediate beam and to split the second intermediate beam into the third and fourth beam-split portions that are substantially equal in amplitude with one another.
7. The system of claim 6, further comprising: first and second beam-guide prisms configured to guide the first and second intermediate beams from the first beam splitter to the second and third beam splitters respectively.
8. The system of claim 7, wherein the first and second beam-guide prisms have indices of refraction that is substantially equal to indices of refraction of the first and second right-triangular isosceles prisms of each of the first, second, and third beam splitters.
9. The system of claim 8, wherein the plurality of optical power amplifiers includes: first, second, third, and fourth optical power amplifiers configured to receive and amplify the first, second, third, and fourth beam-split portions of the mode-matched optical beam, respectively.
10. The system of claim 9, further comprising: third and fourth beam-guide prisms configured to guide the first and second beam-split portions from the second beam splitter to the first and second optical power amplifiers; and fifth and sixth beam-guide prisms configured to guide the third and fourth beam-split portions from the third beam splitter to the third and fourth optical power amplifiers.
11. The system of claim 10, wherein the third, fourth, fifth and sixth beam-guide prisms have indices of refraction that is substantially equal to indices of refraction of the first and second right-triangular isosceles prisms of each of the first, second, and third beam splitters.
12. The system of claim 11, wherein the index of refraction is substantially constant throughout the optical paths from the first beam splitter to the first, second, third, and fourth optical power amplifiers.
13. A method for optical mode matching a plurality of optical beams to a corresponding plurality of optical power amplifiers, the system including: generating, via a laser, a laser beam; generating, via mode-matching optics, a mode-matched optical beam from the laser beam; splitting, via a plurality of beam splitters, the mode-matched optical beam into a plurality of beam-split portions; amplifying, via each of a plurality of optical power amplifiers, a corresponding one of the plurality of beam-split portions of the mode-matched optical beam; and configuring the plurality of splitters and the plurality of optical power amplifiers so as to make substantially equal to one another optical path lengths between the mode-matching optics and the plurality of optical power amplifiers, thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers.
14. The method of claim 13, wherein splitting the mode-matched optical beam into a plurality of beam-split portions is done in such manner as to make amplitudes of the plurality of beam-split portions substantially equal to one another.
15. The method of claim 14, wherein splitting the mode-matched optical beam includes: splitting, via first, second, and third beam splitters, the mode-matched optical beam into first, second, third, and fourth beam-split portions.
16. The method of claim 15, wherein splitting the mode-matched optical beam includes: splitting, via a first beam splitter, the mode-matched optical beam into first and second intermediate beams that are substantially equal in amplitude with one another; splitting, via a second optical splitter, the first intermediate beam into the first and second beam-split portions that are substantially equal in amplitude with one another; and splitting, via a third optical splitter, the second intermediate beam into the third and fourth beam-split portions that are substantially equal in amplitude with one another.
17. The method of claim 16, further comprising: guiding, via first and second beam-guide prisms, the first and second intermediate beams from the first beam splitter to the second and third beam splitters respectively.
18. The method of claim 17, wherein the first and second beam-guide prisms have indices of refraction that is substantially equal to indices of refraction of the first and second right-triangular isosceles prisms of each of the first, second, and third beam splitters.
19. The method of claim 18, wherein the plurality of optical power amplifiers includes: amplifying, via first, second, third, and fourth optical power amplifiers, the first, second, third, and fourth beam-split portions of the mode-matched optical beam, respectively.
20. The method of claim 19, further comprising: guiding, via third and fourth beam-guide prisms, the first and second beam-split portions from the second beam splitter to the first and second optical power amplifiers; and guiding, via fifth and sixth beam-guide prisms, the third and fourth beam-split portions from the third beam splitter to the third and fourth optical power amplifiers.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0011] The material described herein is illustrated by way of example and not by way of limitation in the accompanying figures. For simplicity and clarity of illustration, elements illustrated in the figures are not necessarily drawn to scale. For example, the dimensions of some elements may be exaggerated relative to other elements for clarity. Further, where considered appropriate, reference labels have been repeated among the figures to indicate corresponding or analogous elements. In the figures:
[0012]
[0013]
[0014]
[0015]
DETAILED DESCRIPTION
[0016] Apparatus and associated methods relate to mode matching a plurality of optical beams to a corresponding plurality of optical power amplifiers. The mode-matched plurality of beams is generated by mode matching a single laser beam and then splitting the mode-matched beam into the plurality of beam-split portions. Each of the plurality of beam-split portions is then guided to a corresponding one of a plurality of optical power amplifiers that amplifies the beam-split portion guided thereto. Optical path lengths between the mode-matching optics and the plurality of optical power amplifiers are created to be substantially equal to one another thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers.
[0017]
[0018] Such a MOPA configuration can have various advantages over configurations using a single laser cavity to produce a laser beam with a required amount of power. This is because the MOPA configuration permits decoupling of various design specifications. As a result, it can be easier to reach the required performance (e.g., linewidth, wavelength tuning range, beam quality, pulse duration, power level, etc.) using a MOPA configuration. MOPA configurations also can present various design challenges, as well. For example, a MOPA configuration can be sensitive to back-reflections and can have higher levels of noise.
[0019] For best performance, good optical coupling efficiency between master laser 12 and optical preamplifier 16 should be obtained. To obtain such optical coupling efficiency, preamplifier mode-matching optics 14 are situated between master laser 12 and optical preamplifier 16. Preamplifier mode-matching optics 14 are configured to shape the optical beam presented to optical preamplifier 16 so as to increase or maximize coupling of such a shaped beam to optical preamplifier 16. Such beam shaping performed by the preamplifier mode-matching optics 14 is called mode-matching. If master laser 12 is a laser diode, then the laser beam generated thereby can have divergences that are different for each of the two quadrature directions orthogonal to a direction in which the beam propagates. To mode-match such a laser beam preamplifier mode-matching optics can include several cylindrical lenses, which are oriented to independently shape the beam in each of two quadrature directions orthogonal to a direction in which the beam propagates.
[0020] Optical preamplifier 16 is configured to amplify the optical beam shaped by preamplifier mode-matching optics 14 and to output the amplified beam. The amplified beam is then directed via mirror 18A toward the four channels of lightbox 10. The amplified beam is then received by power-amplifier Mode-Matching Optics (MMO) 20A, which is configured to shape the amplified beam so as to obtain good coupling efficiency with optical power amplifier 24A. Thus, the optical beam has now been doubly reshaped (i.e., first by preamplifier MMO 14, then by power-amplifier MMO 20A). Beam splitter 22A splits a beam-split portion of the now doubly-reshaped beam (e.g., 25% of the shaped beam) and directs the beam-split portion of the doubly-reshaped beam toward mirror 18B. Mirror 18B directs the beam-split portion of the doubly-reshaped beam to optical power amplifier 24A. Optical power amplifier 24A then amplifies and outputs beam-split portion of the doubly-reshaped beam, which is ultimately directed into the atmosphere in a first direction.
[0021] Beam splitter 22A, which directed the beam-split portion of the doubly-reshaped beam into the first channel, also directs the remainder of the doubly-reshaped beam to power-amplifier mode-matching optics 20B. Power-amplifier mode-matching optics 20B are configured to reshape the remainder of the doubly-reshaped beam so as to obtain good coupling efficiency with power amplifier 24B. Such reshaping of the remainder of the doubly-reshaped beam is needed because the optical path length between power-amplifier mode-matching optics 20A and optical power amplifier 24B is different from the optical path length between power-amplifier mode-matching optics 20A and optical power amplifier 24A. Thus, the optical beam has now been triply reshaped (i.e., first by preamplifier MMO 14, then by power-amplifier MMOs 20A and 20B). Beam splitter 22B splits a beam-split portion of now triply-reshaped beam (e.g., 33.3% of the triply-reshaped beam) and directs the beam-split portion of the triply-reshaped beam toward mirror 18C. Mirror 18C directs the beam-split portion of the triply-reshaped beam to optical power amplifier 24B. Optical power amplifier 24B then amplifies and outputs the beam-split portion of the triply-reshaped beam, which is ultimately directed into the atmosphere in a second direction.
[0022] Beam splitter 22B, which directed the beam-split portion of the triply-reshaped beam into the second channel, also directs the remainder of the triply-reshaped beam to power-amplifier mode-matching optics 20C. Power-amplifier mode-matching optics 20C are configured to reshape the remainder of the triply-reshaped beam so as to obtain good coupling efficiency with power amplifier 24C. Such reshaping of the remainder of the triply-reshaped beam is needed because the optical path length between power-amplifier mode-matching optics 20B and optical power amplifier 24C is different from the optical path length between power-amplifier mode-matching optics 20B and optical power amplifier 24B. Thus, the optical beam has now been quadruply reshaped (i.e., first by preamplifier MMO 14, then by power-amplifier MMOs 20A, 20B and 20C). Beam splitter 22C splits a beam-split portion of the quadruply-reshaped beam (e.g., 50% of the quadruply-reshaped beam) and directs the beam-split portion of the now quadruply-reshaped beam toward mirror 18D. Mirror 18D directs the beam-split portion of the quadruply-reshaped beam to optical power amplifier 24C. Optical power amplifier 24C then amplifies and outputs the beam-split portion of the quadruply-reshaped beam, which is ultimately directed into the atmosphere in a third direction.
[0023] Beam splitter 22C, which directed the split quadruply-reshaped beam of the amplified beam into the third channel, also directs the remainder of the quadruplyh-reshaped beam to power-amplifier mode-matching optics 20D. Power-amplifier mode-matching optics 20D are configured to reshape the remainder of the quadruply-reshaped beam so as to obtain good coupling efficiency with power amplifier 24D. Such reshaping of the remainder of the quadruply-reshaped beam is needed because the optical path length between power-amplifier mode-matching optics 20C and optical power amplifier 24D is different from the optical path length between power-amplifier mode-matching optics 20C and optical power amplifier 24C. Thus, the optical beam has now been quintuply reshaped (i.e., first by preamplifier MMO 14, then by power-amplifier MMOs 20A, 20B, 20C and 20D). Mirrors 18E and 18F direct the quintuply-reshaped beam to optical power amplifier 24D, which amplifies the quintuply-reshaped beam portion received thereby. Optical power amplifier 24D then outputs the amplified quintuply-reshaped beam, which is ultimately directed into the atmosphere in a fourth direction.
[0024] In the
[0025]
[0026] Optical preamplifier 16 is configured to amplify the optical beam shaped by preamplifier mode-matching optics 14 and to output the amplified beam. The amplified beam is then directed to power-amplifier mode-matching optics 20, which is configured to shape the amplified beam so as to obtain good coupling efficiency with each of optical power amplifiers 24A-24D. 14 beam splitter 22 splits the shaped beam into four beam-split portions and directs the four beam-split portions to optical power amplifiers 24A-24D, respectively. 14 beam splitter 22 is configured to split the shaped beam into the four beam-split portions in a manner in which the four beam-split portions are substantially equal in amplitude. Moreover, the four optical path lengths, which correspond to the four beam-split portions, through 14 beam splitter are configured to be substantially equal to one another, as will be described below with reference to
[0027] Each of optical power amplifiers 24A-24D receives and amplifies a corresponding one of the four beam-split portions and then outputs the amplified beam-split portion, which is ultimately directed into the atmosphere in some direction. There are various ways of projecting the amplified beam-split portions into the atmosphere. For example, the amplified beam-split portions can be transmitted, via an optical fiber, to an optical projector. In some embodiments, the optical projector can include a collimating lens. Each channel can include an optical receiver configured to receive a backscattered portion of the beam-split portion projected into the atmosphere. The backscattered portion having been backscattered by the atmosphere (i.e., aerosols and/or air molecules in the atmosphere) contains information regarding the atmosphere. An air-data calculator can then calculate metrics of air data based on the plurality of received beam-split portions, as is known in the art.
[0028]
[0029] First and second intermediate beams B1 and B2 substantially equal in amplitude to one another. First intermediate beam B1 is directed to and received by beam-guide prism 26A. Beam-guide prism 26A is configured to guide first intermediate beam B1 from beam splitter 22A to beam splitter 22B. Beam-guide prism 26A guides first intermediate beam B1 using mirrors 18A and 18B on faces located on opposite ends of beam-guide prism 26A. Second intermediate beam B2 is directed to and received by beam-guide prism 26B. Beam-guide prism 26B is configured to guide second intermediate beam B2 from beam splitter 22A to beam splitter 22C. Beam-guide prism 26B guides second intermediate beam B1 using mirror 18C on a face of beam-guide prism 26B. In the
[0030] Beam splitter 22B splits first intermediate beam B1 into first and second beam-split portions P1 and P2. First beam-split portion P1 is directed to and received by beam-guide prism 26C. Beam-guide prism 26C is configured to guide first beam-split portion P1 from beam splitter 22B to optical power amplifier 24A (depicted in
[0031] Beam splitter 22C splits second intermediate beam B2 into third and fourth beam-split portions P3 and P4. Third beam-split portion P3 is directed to and received by beam-guide prism 26E. Beam-guide prism 26E is configured to guide third beam-split portion P3 from beam splitter 22C to optical power amplifier 24C (depicted in
[0032] Beam splitters 22A-22C and beam-guide prisms 26A-26F can be manufactured using optical materials that have the same index of refraction such that little or no internal reflections arise at the interfaces between beam-guide prisms 26A-26F and beam splitters 22A-22C. Typically, optical quality glasses are used for such construction of 14 beam splitter 22. Such a design results in an all-glass construction (using the same index of glass) of 14 beam splitter 22. In some embodiments, beam splitters 22A-22C are constructed using first and second right-triangular isosceles prisms sandwiching a beam-splitting layer between hypotenuse faces of the first and second right-triangular isosceles prisms. The first and second triangular isosceles prisms can be made using the same type and grade of glass as is used for beam-guide prisms 26A-26F.
DISCUSSION OF POSSIBLE EMBODIMENTS
[0033] The following are non-exclusive descriptions of possible embodiments of the present invention.
[0034] Apparatus and associated methods relate to a system for measuring metrics of an atmosphere. The system includes a laser configured to generate a laser beam. The system includes mode-matching optics configured to receive the laser beam generated by the laser and to generate a mode-matched optical beam therefrom. The system includes a plurality of beam splitters configured to split the mode-matched optical beam into a plurality of beam-split portions, each substantially equal in amplitude with others of the plurality of beam-split portions. The system includes a plurality of optical power amplifiers, each configured to receive and amplify a corresponding one of the plurality of beam-split portions, thereby generating a corresponding one of the plurality of amplified beams. Optical path lengths between the mode-matching optics and the plurality of optical power amplifiers are substantially equal to one another, thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers. The system includes a plurality of optical projectors configured to project a plurality of projected beams into an atmosphere. Each of the plurality of optical projectors is configured to project a corresponding one of the plurality of amplified beams thereby projecting a corresponding one of the plurality of projected beams. The system includes a plurality of optical receivers configured to receive a plurality of received beam-split portions of the plurality of projected beams backscattered by the atmosphere. Each of the plurality of optical receivers is aligned so as to receive a corresponding one of the plurality of received beam-split portions of the plurality of projected beams backscattered by the atmosphere. The system also includes an air-data calculator configured to calculate metrics of air data based on the plurality of received beam-split portions.
[0035] Some embodiments relate to a system for optical mode matching a plurality of optical beams to a corresponding plurality of optical power amplifiers. The system includes a laser configured to generate a laser beam. The system includes mode-matching optics configured to receive the laser beam generated by the laser and to generate a mode-matched optical beam therefrom. The system includes a plurality of beam splitters configured to split the mode-matched optical beam into a plurality of beam-split portions, each substantially equal in amplitude with others of the plurality of beam-split portions. The system includes a plurality of optical power amplifiers, each configured to receive and amplify a corresponding one of the plurality of beam-split portions, thereby generating a corresponding one of the plurality of amplified beams. Optical path lengths between the mode-matching optics and the plurality of optical power amplifiers are substantially equal to one another, thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers.
[0036] The system of the preceding paragraph can optionally include, additionally and/or alternatively, any one or more of the following features, configurations and/or additional components:
[0037] A further embodiment of the foregoing system, wherein each of the plurality of beam-split portions of the mode-matched optical beams can have an amplitude that is substantially equal in amplitude with others of the plurality of beam-split portions of the mode-matched optical beams.
[0038] A further embodiment of any of the foregoing systems, wherein each of the plurality of beam splitters can include first and second right-triangular isosceles prisms sandwiching a beam-splitting layer between hypotenuse faces of the first and second right-triangular isosceles prisms.
[0039] A further embodiment of any of the foregoing systems, wherein the plurality of beam-split portions of the mode-matched optical beam can include first, second, third, and fourth beam-split portions of the mode-matched optical beam.
[0040] A further embodiment of any of the foregoing systems, wherein the plurality of beam splitters can include: a first beam splitter configured to receive the mode-matched optical beam and to split the mode-match optical beam into first and second intermediate beams that are substantially equal in amplitude with one another; a second optical splitter configured to receive the first intermediate beam and to split the first intermediate beam into the first and second beam-split portions that are substantially equal in amplitude with one another; and a third optical splitter configured to receive the second intermediate beam and to split the second intermediate beam into the third and fourth beam-split portions that are substantially equal in amplitude with one another.
[0041] A further embodiment of any of the foregoing systems can further include first and second beam-guide prisms configured to guide the first and second intermediate beams from the first beam splitter to the second and third beam splitters respectively.
[0042] A further embodiment of any of the foregoing systems, wherein the first and second beam-guide prisms can have indices of refraction that is substantially equal to indices of refraction of the first and second right-triangular isosceles prisms of each of the first, second, and third beam splitters.
[0043] A further embodiment of any of the foregoing systems, wherein the plurality of optical power amplifiers can include first, second, third, and fourth optical power amplifiers configured to receive and amplify the first, second, third, and fourth beam-split portions of the mode-matched optical beam, respectively.
[0044] A further embodiment of any of the foregoing systems can further include: third and fourth beam-guide prisms configured to guide the first and second beam-split portions from the second beam splitter to the first and second optical power amplifiers; and fifth and sixth beam-guide prisms configured to guide the third and fourth beam-split portions from the third beam splitter to the third and fourth optical power amplifiers.
[0045] A further embodiment of any of the foregoing systems, wherein the third, fourth, fifth and sixth beam-guide prisms can have indices of refraction that is substantially equal to indices of refraction of the first and second right-triangular isosceles prisms of each of the first, second, and third beam splitters.
[0046] A further embodiment of any of the foregoing systems, wherein the index of refraction can be substantially constant throughout the optical paths from the first beam splitter to the first, second, third, and fourth optical power amplifiers.
[0047] Some embodiments relate to a method for optical mode matching a plurality of optical beams to a corresponding plurality of optical power amplifiers. The system includes generating, via a laser, a laser beam. The method includes generating, via mode-matching optics, a mode-matched optical beam from the laser beam. The method includes splitting, via a plurality of beam splitters, the mode-matched optical beam into a plurality of beam-split portions. The method includes amplifying, via each of a plurality of optical power amplifiers, a corresponding one of the plurality of beam-split portions of the mode-matched optical beam. The method also includes configuring the plurality of splitters and the plurality of optical power amplifiers so as to make substantially equal to one another optical path lengths between the mode-matching optics and the plurality of optical power amplifiers, thereby enabling optical mode matching of the mode-matched optical beam to each of the plurality of optical power amplifiers.
[0048] The method of the preceding paragraph can optionally include, additionally and/or alternatively, any one or more of the following features, configurations and/or additional components:
[0049] A further embodiment of the foregoing method, wherein splitting the mode-matched optical beam into a plurality of beam-split portions can be done in such manner as to make amplitudes of the plurality of beam-split portions substantially equal to one another.
[0050] A further embodiment of any of the foregoing methods, wherein splitting the mode-matched optical beam can include splitting, via first, second, and third beam splitters, the mode-matched optical beam into first, second, third, and fourth beam-split portions.
[0051] A further embodiment of any of the foregoing methods, wherein splitting the mode-matched optical beam can include: splitting, via a first beam splitter, the mode-matched optical beam into first and second intermediate beams that are substantially equal in amplitude with one another; splitting, via a second optical splitter, the first intermediate beam into the first and second beam-split portions that are substantially equal in amplitude with one another; and splitting, via a third optical splitter, the second intermediate beam into the third and fourth beam-split portions that are substantially equal in amplitude with one another.
[0052] A further embodiment of any of the foregoing methods can further include guiding, via first and second beam-guide prisms, the first and second intermediate beams from the first beam splitter to the second and third beam splitters respectively.
[0053] A further embodiment of any of the foregoing methods, wherein the first and second beam-guide prisms can have indices of refraction that is substantially equal to indices of refraction of the first and second right-triangular isosceles prisms of each of the first, second, and third beam splitters.
[0054] A further embodiment of any of the foregoing methods, wherein the plurality of optical power amplifiers can include amplifying, via first, second, third, and fourth optical power amplifiers, the first, second, third, and fourth beam-split portions of the mode-matched optical beam, respectively.
[0055] A further embodiment of any of the foregoing methods can further include: guiding, via third and fourth beam-guide prisms, the first and second beam-split portions from the second beam splitter to the first and second optical power amplifiers; and guiding, via fifth and sixth beam-guide prisms, the third and fourth beam-split portions from the third beam splitter to the third and fourth optical power amplifiers
[0056] It will be recognized that the invention is not limited to the implementations so described but can be practiced with modification and alteration without departing from the scope of the appended claims. For example, the above implementations may include specific combinations of features. However, the above implementations are not limited in this regard, and, in various implementations, the above implementations may include the undertaking only a subset of such features, undertaking a different order of such features, undertaking a different combination of such features, and/or undertaking additional features than those features explicitly listed. The scope of the invention should, therefore, be determined with reference to the appended claims, along with the full scope of equivalents to which such claims are entitled.