Abstract

Stimulated Brillouin scattering (SBS) is used for multiple-beam combining by overlapping the beams in the SBS interaction volume and for phase control by backseeding the interaction volume. Tripled Nd:YAG laser experiments and wave-optics analyses indicate the conditions of beam overlap, power, and focusing that are required to obtain effective beam combining and phase control.

© 1988 Optical Society of America

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  1. B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].
  2. D. M. Pepper, ed., special issue on nonlinear optical phase conjugation, Opt. Eng. 21, 156–283 (1982).
    [Crossref]
  3. R. A. Fisher, ed., Optical Phase Conjugation (Academic, New York, 1983).
  4. B. Ya. Zel’dovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).
    [Crossref]
  5. N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].
  6. N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].
  7. N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].
  8. M. Valley, G. Lombardi, and R. Aprahamian, “Beam combination by stimulated Brillouin scattering,” J. Opt. Soc. Am. B 3, 1492–1497 (1986).
    [Crossref]
  9. M. Valley, R. Moyer, M. Cimolino, and M. Sones, “Analysis of beam coupling by stimulated Brillouin scattering,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThK43.
  10. R. Moyer, M. Valley, M. Cimolino, and M. Sones, “Demonstration of stimulated Brillouin scattering beam coupling,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThD4.
  11. J. W. Doyle and D. P. Traver, TRW Research and Technology Operations, One Space Park R1/1062, Redondo Beach, California 90278 (personal communication).
  12. J. Falk, M. Kanefsky, and P. Suni, “Limits to the efficiency of beam combination by stimulated Brillouin scattering,” Opt. Lett. 13, 39–41 (1988).
    [Crossref] [PubMed]
  13. A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].
  14. D. A. Rockwell and C. R. Giuliano, “Coherent coupling of laser gain media using phase conjugation,” Opt. Lett. 11, 147–149 (1986).
    [Crossref] [PubMed]
  15. K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].
  16. T. Salvi, (RDA, Albuquerque, New Mexico 87119) and R. Aprahamian, (TRW, One Space Park R1/1062, Redondo Beach, California 90278) (personal communication).
  17. T. R. Loree, D. E. Watkins, T. M. Johnson, N. A. Kurnit, and R. A. Fisher, “Phase locking two beams by means of seeded Brillouin scattering,” Opt. Lett. 12, 178–180 (1987).
    [Crossref] [PubMed]
  18. R. H. Lehmberg and K. A. Holder, “Numerical study of optical ray retracing in laser-plasma backscatter,” Phys. Rev. A 22, 2156–2170 (1980).
    [Crossref]
  19. R. H. Lehmberg, “Numerical study of phase conjugation in stimulated backscatter with pump depletion,” Opt. Commun. 43, 369–374 (1982).
    [Crossref]
  20. R. H. Lehmberg, “Numerical study of phase conjugation in stimulated Brillouin scattering from an optical waveguide,” J. Opt. Soc. Am. 73, 558–566 (1983).
    [Crossref]
  21. M. M. Valley and S. J. Pfeifer, “Correction of medium and component aberrations in laser amplifiers by phase conjugation,” J. Opt. Soc. Am. A 1, 1224 (1984).
  22. M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
    [Crossref]
  23. V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].
  24. M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].
  25. N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].
  26. V. V. Lyubimov, A. A. Mak, and V. E. Yashin, “Some problems in using wavefront reversal in laser systems,” Izv. Akad. Nauk SSSR Ser. Fiz. 51, 330–339 (1987) [Bull. Acad. Sci. USSR Phys. Ser. 51,114–121 (1987)].
  27. W. Kaiser and M. Maier, “Stimulated Rayleigh, Brillouin, and Raman spectroscopy,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North-Holland, New York, 1972), pp. 1077–1150.
  28. G. G. Kochemasov and V. D. Nikolaev, “Investigation of the spatial characteristics of Stokes radiation in stimulated scattering under saturation conditions,” Kvantovaya Elektron. 6, 1960–1965 (1979) [Sov. J. Quantum Electron. 9, 1155–1157 (1979)].
  29. F. V. Hunt, “Propagation of Sound in Fluids,” in American Institute of Physics Handbook, 3rd ed., D. E. Gray, ed. (McGraw-Hill, New York, 1972), p. 3–37.

1988 (1)

1987 (2)

T. R. Loree, D. E. Watkins, T. M. Johnson, N. A. Kurnit, and R. A. Fisher, “Phase locking two beams by means of seeded Brillouin scattering,” Opt. Lett. 12, 178–180 (1987).
[Crossref] [PubMed]

V. V. Lyubimov, A. A. Mak, and V. E. Yashin, “Some problems in using wavefront reversal in laser systems,” Izv. Akad. Nauk SSSR Ser. Fiz. 51, 330–339 (1987) [Bull. Acad. Sci. USSR Phys. Ser. 51,114–121 (1987)].

1986 (3)

D. A. Rockwell and C. R. Giuliano, “Coherent coupling of laser gain media using phase conjugation,” Opt. Lett. 11, 147–149 (1986).
[Crossref] [PubMed]

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

M. Valley, G. Lombardi, and R. Aprahamian, “Beam combination by stimulated Brillouin scattering,” J. Opt. Soc. Am. B 3, 1492–1497 (1986).
[Crossref]

1984 (1)

M. M. Valley and S. J. Pfeifer, “Correction of medium and component aberrations in laser amplifiers by phase conjugation,” J. Opt. Soc. Am. A 1, 1224 (1984).

1983 (1)

1982 (2)

R. H. Lehmberg, “Numerical study of phase conjugation in stimulated backscatter with pump depletion,” Opt. Commun. 43, 369–374 (1982).
[Crossref]

D. M. Pepper, ed., special issue on nonlinear optical phase conjugation, Opt. Eng. 21, 156–283 (1982).
[Crossref]

1980 (5)

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

R. H. Lehmberg and K. A. Holder, “Numerical study of optical ray retracing in laser-plasma backscatter,” Phys. Rev. A 22, 2156–2170 (1980).
[Crossref]

V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

1979 (2)

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

G. G. Kochemasov and V. D. Nikolaev, “Investigation of the spatial characteristics of Stokes radiation in stimulated scattering under saturation conditions,” Kvantovaya Elektron. 6, 1960–1965 (1979) [Sov. J. Quantum Electron. 9, 1155–1157 (1979)].

1978 (1)

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

1972 (1)

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Aprahamian, R.

Basov, N. G.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

Bespalov, V. I.

V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].

Betin, A. A.

V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].

Brown, D.

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Bullock, D. L.

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Cimolino, M.

M. Valley, R. Moyer, M. Cimolino, and M. Sones, “Analysis of beam coupling by stimulated Brillouin scattering,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThK43.

R. Moyer, M. Valley, M. Cimolino, and M. Sones, “Demonstration of stimulated Brillouin scattering beam coupling,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThD4.

Doyle, J. W.

J. W. Doyle and D. P. Traver, TRW Research and Technology Operations, One Space Park R1/1062, Redondo Beach, California 90278 (personal communication).

Efimkov, V. F.

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

Faisullov, F. S.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Falk, J.

Fisher, R. A.

Giuliano, C. R.

Gratsianov, K. V.

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

Gyulameryan, A. L.

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

Holder, K. A.

R. H. Lehmberg and K. A. Holder, “Numerical study of optical ray retracing in laser-plasma backscatter,” Phys. Rev. A 22, 2156–2170 (1980).
[Crossref]

Hunt, F. V.

F. V. Hunt, “Propagation of Sound in Fluids,” in American Institute of Physics Handbook, 3rd ed., D. E. Gray, ed. (McGraw-Hill, New York, 1972), p. 3–37.

Johnson, T. M.

Kaiser, W.

W. Kaiser and M. Maier, “Stimulated Rayleigh, Brillouin, and Raman spectroscopy,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North-Holland, New York, 1972), pp. 1077–1150.

Kanefsky, M.

Kochemasov, G. G.

G. G. Kochemasov and V. D. Nikolaev, “Investigation of the spatial characteristics of Stokes radiation in stimulated scattering under saturation conditions,” Kvantovaya Elektron. 6, 1960–1965 (1979) [Sov. J. Quantum Electron. 9, 1155–1157 (1979)].

Kornev, A. F.

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

Kotov, A. V.

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

Kuper, J.

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Kurnit, N. A.

Lainhart, M. E.

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Lehmberg, R. H.

R. H. Lehmberg, “Numerical study of phase conjugation in stimulated Brillouin scattering from an optical waveguide,” J. Opt. Soc. Am. 73, 558–566 (1983).
[Crossref]

R. H. Lehmberg, “Numerical study of phase conjugation in stimulated backscatter with pump depletion,” Opt. Commun. 43, 369–374 (1982).
[Crossref]

R. H. Lehmberg and K. A. Holder, “Numerical study of optical ray retracing in laser-plasma backscatter,” Phys. Rev. A 22, 2156–2170 (1980).
[Crossref]

Lombardi, G.

Loree, T. R.

Lyubimov, V. V.

V. V. Lyubimov, A. A. Mak, and V. E. Yashin, “Some problems in using wavefront reversal in laser systems,” Izv. Akad. Nauk SSSR Ser. Fiz. 51, 330–339 (1987) [Bull. Acad. Sci. USSR Phys. Ser. 51,114–121 (1987)].

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

Maier, M.

W. Kaiser and M. Maier, “Stimulated Rayleigh, Brillouin, and Raman spectroscopy,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North-Holland, New York, 1972), pp. 1077–1150.

Mak, A. A.

V. V. Lyubimov, A. A. Mak, and V. E. Yashin, “Some problems in using wavefront reversal in laser systems,” Izv. Akad. Nauk SSSR Ser. Fiz. 51, 330–339 (1987) [Bull. Acad. Sci. USSR Phys. Ser. 51,114–121 (1987)].

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].

Mamaev, A. V.

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

Mikhailov, S. I.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

Mironov, A. B.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

Mit’kin, V. M.

A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].

Moyer, R.

M. Valley, R. Moyer, M. Cimolino, and M. Sones, “Analysis of beam coupling by stimulated Brillouin scattering,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThK43.

R. Moyer, M. Valley, M. Cimolino, and M. Sones, “Demonstration of stimulated Brillouin scattering beam coupling,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThD4.

Nikolaev, V. D.

G. G. Kochemasov and V. D. Nikolaev, “Investigation of the spatial characteristics of Stokes radiation in stimulated scattering under saturation conditions,” Kvantovaya Elektron. 6, 1960–1965 (1979) [Sov. J. Quantum Electron. 9, 1155–1157 (1979)].

Okulov, A. Y.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

Pankov, V. G.

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

Pasmanik, G. A.

V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].

Pfeifer, S. J.

M. M. Valley and S. J. Pfeifer, “Correction of medium and component aberrations in laser amplifiers by phase conjugation,” J. Opt. Soc. Am. A 1, 1224 (1984).

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Pilipetsky, N. F.

B. Ya. Zel’dovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).
[Crossref]

Popovichev, V. I.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Ragul’skii, V. V.

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

Rockwell, D. A.

Salvi, T.

T. Salvi, (RDA, Albuquerque, New Mexico 87119) and R. Aprahamian, (TRW, One Space Park R1/1062, Redondo Beach, California 90278) (personal communication).

Semenov, P. M.

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

Serebryakov, V. A.

A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].

Shilov, A. A.

V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].

Shkunov, V. V.

B. Ya. Zel’dovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).
[Crossref]

Sidorovich, V. G.

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

Smirnov, M. G.

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

Smirnov, V. G.

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

Sones, M.

R. Moyer, M. Valley, M. Cimolino, and M. Sones, “Demonstration of stimulated Brillouin scattering beam coupling,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThD4.

M. Valley, R. Moyer, M. Cimolino, and M. Sones, “Analysis of beam coupling by stimulated Brillouin scattering,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThK43.

Stepanov, A. I.

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

Suni, P.

Traver, D. P.

J. W. Doyle and D. P. Traver, TRW Research and Technology Operations, One Space Park R1/1062, Redondo Beach, California 90278 (personal communication).

Valley, M.

M. Valley, G. Lombardi, and R. Aprahamian, “Beam combination by stimulated Brillouin scattering,” J. Opt. Soc. Am. B 3, 1492–1497 (1986).
[Crossref]

M. Valley, R. Moyer, M. Cimolino, and M. Sones, “Analysis of beam coupling by stimulated Brillouin scattering,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThK43.

R. Moyer, M. Valley, M. Cimolino, and M. Sones, “Demonstration of stimulated Brillouin scattering beam coupling,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThD4.

Valley, M. M.

M. M. Valley and S. J. Pfeifer, “Correction of medium and component aberrations in laser amplifiers by phase conjugation,” J. Opt. Soc. Am. A 1, 1224 (1984).

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Vasil’ev, A. F.

A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].

Vasilev, M. V.

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

Wagner, R. J.

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

Watkins, D. E.

Yashin, V. E.

V. V. Lyubimov, A. A. Mak, and V. E. Yashin, “Some problems in using wavefront reversal in laser systems,” Izv. Akad. Nauk SSSR Ser. Fiz. 51, 330–339 (1987) [Bull. Acad. Sci. USSR Phys. Ser. 51,114–121 (1987)].

A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].

Zel’dovich, B. Ya.

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

B. Ya. Zel’dovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).
[Crossref]

Zubarev, I. G.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

Izv. Akad. Nauk SSSR Ser. Fiz. (1)

V. V. Lyubimov, A. A. Mak, and V. E. Yashin, “Some problems in using wavefront reversal in laser systems,” Izv. Akad. Nauk SSSR Ser. Fiz. 51, 330–339 (1987) [Bull. Acad. Sci. USSR Phys. Ser. 51,114–121 (1987)].

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

M. M. Valley and S. J. Pfeifer, “Correction of medium and component aberrations in laser amplifiers by phase conjugation,” J. Opt. Soc. Am. A 1, 1224 (1984).

J. Opt. Soc. Am. B (1)

Kvantovaya Elektron. (3)

N. G. Basov, V. F. Efimkov, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and V. G. Smirnov, “Influence of certain radiation parameters on wavefront reversal of a pump wave in a Brillouin mirror,” Kvantovaya Elektron. 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].

K. V. Gratsianov, A. F. Kornev, V. V. Lyubimov, A. A. Mak, V. G. Pankov, and A. I. Stepanov, “Investigation of an amplifier with a composite active element and a stimulated Brillouin scattering mirror,” Kvantovaya Elektron. 13, 2337–2339 (1986) [Sov. J. Quantum Electron. 16, 1544–1546 (1986)].

G. G. Kochemasov and V. D. Nikolaev, “Investigation of the spatial characteristics of Stokes radiation in stimulated scattering under saturation conditions,” Kvantovaya Elektron. 6, 1960–1965 (1979) [Sov. J. Quantum Electron. 9, 1155–1157 (1979)].

Opt. Commun. (1)

R. H. Lehmberg, “Numerical study of phase conjugation in stimulated backscatter with pump depletion,” Opt. Commun. 43, 369–374 (1982).
[Crossref]

Opt. Eng. (1)

D. M. Pepper, ed., special issue on nonlinear optical phase conjugation, Opt. Eng. 21, 156–283 (1982).
[Crossref]

Opt. Lett. (3)

Phys. Rev. A (1)

R. H. Lehmberg and K. A. Holder, “Numerical study of optical ray retracing in laser-plasma backscatter,” Phys. Rev. A 22, 2156–2170 (1980).
[Crossref]

Pis’ma Zh. Eksp. Teor. Fiz. (5)

B. Ya. Zel’dovich, V. I. Popovichev, V. V. Ragul’skii, and F. S. Faisullov, “Connection between the wave fronts of the reflected and exciting light in stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–113 (1972)].

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, “Inversion of wavefront in SMBS of a depolarized pump,” Pis’ma Zh. Eksp. Teor. Fiz. 28, 215–219 (1978) [JETP Lett. 28, 197–201 (1978)].

V. I. Bespalov, A. A. Betin, G. A. Pasmanik, and A. A. Shilov, “Observation of transient field oscillations in the radiation of stimulated Mandel’shtam–Brillouin scattering,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 668–672 (1980) [JETP Lett. 31, 630–633 (1980)].

M. V. Vasilev, A. L. Gyulameryan, A. V. Mamaev, V. V. Ragul’skii, P. M. Semenov, and V. G. Sidorovich, “Recording of phase fluctuations of stimulated scattered light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 673–677 (1980) [JETP Lett. 31, 634–639 (1980)].

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Phase fluctuations of the Stokes wave produced as a result of stimulated scattering of light,” Pis’ma Zh. Eksp. Teor. Fiz. 31, 685–689 (1980) [JETP Lett. 31, 645–649 (1980)].

Zh. Eksp. Teor. Fiz. (1)

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, “Laser interferometer with wavefront-reversing mirrors,” Zh. Eksp. Teor. Fiz. 79, 1678–1686 (1980) [Sov. Phys. JETP 52, 847–851 (1980)].

Zh. Tekh. Fiz. (1)

A. F. Vasil’ev, A. A. Mak, V. M. Mit’kin, V. A. Serebryakov, and V. E. Yashin, “Correction of thermally induced optical aberrations and coherent phasing of beams during stimulated Brillouin scattering,” Zh. Tekh. Fiz. 56, 312–316 [Sov. Phys. Tech. Phys. 31, 191–193 (1986)].

Other (9)

T. Salvi, (RDA, Albuquerque, New Mexico 87119) and R. Aprahamian, (TRW, One Space Park R1/1062, Redondo Beach, California 90278) (personal communication).

R. A. Fisher, ed., Optical Phase Conjugation (Academic, New York, 1983).

B. Ya. Zel’dovich, N. F. Pilipetsky, and V. V. Shkunov, Principles of Phase Conjugation (Springer-Verlag, Berlin, 1985).
[Crossref]

M. Valley, R. Moyer, M. Cimolino, and M. Sones, “Analysis of beam coupling by stimulated Brillouin scattering,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThK43.

R. Moyer, M. Valley, M. Cimolino, and M. Sones, “Demonstration of stimulated Brillouin scattering beam coupling,” in Digest of Conference on Lasers and Electro-Optics (Optical Society of America, Washington, D.C., 1986), paper ThD4.

J. W. Doyle and D. P. Traver, TRW Research and Technology Operations, One Space Park R1/1062, Redondo Beach, California 90278 (personal communication).

W. Kaiser and M. Maier, “Stimulated Rayleigh, Brillouin, and Raman spectroscopy,” in Laser Handbook, F. T. Arecchi and E. O. Schulz-Dubois, eds. (North-Holland, New York, 1972), pp. 1077–1150.

M. M. Valley, S. J. Pfeifer, D. Brown, J. Kuper, D. L. Bullock, M. E. Lainhart, and R. J. Wagner, “Wave optics modeling of stimulated Brillouin scattering,” in Modeling and Simulation of Optoelectronic Systems, J. D. O’Keefe, ed., Proc. Soc. Photo-Opt. Instrum. Eng.642, 103 (1986).
[Crossref]

F. V. Hunt, “Propagation of Sound in Fluids,” in American Institute of Physics Handbook, 3rd ed., D. E. Gray, ed. (McGraw-Hill, New York, 1972), p. 3–37.

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Figures (22)

Fig. 1
Fig. 1

Two methods of beam coupling through the SBS process.

Fig. 2
Fig. 2

Optical layout for overlap-coupling experiment.

Fig. 3
Fig. 3

LSI for beam-coupling diagnostics.

Fig. 4
Fig. 4

LSI data using (a) conventional mirror, uncoupled beams; (b) SBS cell, coupled beams.

Fig. 5
Fig. 5

Summary of overlap-coupling data and comparison of experiment data with BOUNCE analyses. Solid curves delimit the region of good phase locking derived from experimental data.

Fig. 6
Fig. 6

Relation between optical path mismatch and output phase error.

Fig. 7
Fig. 7

Theoretical phase profile of Stokes beams as a function of transverse-beam coordinate for no focal-plane separation.

Fig. 8
Fig. 8

BOUNCE calculation of residual piston error between two beams as a function of separation in the focal plane.

Fig. 9
Fig. 9

Theoretical phase profile of Stokes beams for −5.0-spot-diameter separation in focal plane.

Fig. 10
Fig. 10

Theoretical phase profile of Stokes beams for no focal-plane separation and a 1.33-beam-diameter center-to-center separation in the near field.

Fig. 11
Fig. 11

Optical layout of seed-beam experiment: POL., polarizer; λ/4, quarter-wave plate; D1, D2, microscope slides.

Fig. 12
Fig. 12

Rms phase-locking error versus seed-beam-to-pump-beam intensity ratio.

Fig. 13
Fig. 13

Phase-locking probability versus seed-beam-to-pump- beam intensity ratio.

Fig. 14
Fig. 14

Interferogram of SBS return: (a) unseeded, (b) with step-aberrated seed.

Fig. 15
Fig. 15

Theoretical output of Stokes intensity profiles compared with input for −5.0-spot-diameter separation in focal plane and backseeded power ratio of 4 × 10−5.

Fig. 16
Fig. 16

Theoretical output of Stokes-phase profile compared with input for same condition as in Fig. 15.

Fig. 17
Fig. 17

Theoretical output of Stokes intensity profiles compared with input for −5.0-spot-diameter separation and 4 × 10−7 back-seeding.

Fig. 18
Fig. 18

Theoretical output Stokes phase profiles compared with input for same conditions as in Fig. 17.

Fig. 19
Fig. 19

Theoretical output of Stokes intensity profiles compared with input for no focal-plane separation and backseeding ratio of 2 × 10−4.

Fig. 20
Fig. 20

Theoretical output of Stokes phase profiles compared with input for same condition as in Fig. 19.

Fig. 21
Fig. 21

Theoretical output of Stokes intensity profiles compared with input for no focal-plane separation and 2 × 10−6 backseeding.

Fig. 22
Fig. 22

Theoretical output of Stokes phase profiles for same condition as in Fig. 21.

Tables (1)

Tables Icon

Table 1 Key Parameters of the SBS Beam Combination Tests

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

δ = Δ B Δ L .
E S z - i 2 k S 2 E S x 2 = c n 16 π g e [ 1 + ( 2 Δ ω / Γ B ) 2 ] E L 2 E S ,
E L z + i 2 k L 2 E L x 2 = c n 16 π g e [ 1 + ( 2 Δ ω / Γ B ) 2 ] E S 2 E L .
k L = k S + k B ,
ω L = ω S + ω B .

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