Abstract

It is often desirable to remove both wave front and polarization aberrations from an optical beam. Scalar phase conjugation, such as ordinary stimulated Brillouin scattering, can correct only for wave-front aberrations. We have developed a new geometry for Brillouin-enhanced four-wave mixing that performs vector phase conjugation to correct for both wave-front and polarization distortions. Results show a reduction in the depolarization losses from 50% to less than 2% of the total output energy. Coherent, variable, multiple-beam combination is achieved without need of nonreciprocal devices such as Faraday rotators.

© 1997 Optical Society of America

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References

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  1. R. A. Fisher, ed., Optical Phase Conjugation (Academic, Orlando, Fla., 1983).
  2. V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).
  3. V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
    [CrossRef]
  4. N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).
  5. B. Y. Zel'dovich and V. V. Shkunov, Sov. J. Quantum Elektron. 9, 379 (1979).
    [CrossRef]
  6. J. J. Ottusch and D. A. Rockwell, in Conference on Lasers and Electro-Optics, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 50.
  7. N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
    [CrossRef]
  8. K. D. Ridley, J. Opt. Soc. Am. B 12, 1924 (1995).
    [CrossRef]
  9. N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
    [CrossRef]
  10. I. D. Carr and D. C. Hanna, Appl. Phys. B. 36, 83 (1985).
    [CrossRef]
  11. A. M. Scott and K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
    [CrossRef]
  12. K. D. Ridley and A. M. Scott, J. Opt. Soc. Am. B 13, 900 (1996).
    [CrossRef]
  13. N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

1996 (2)

N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
[CrossRef]

K. D. Ridley and A. M. Scott, J. Opt. Soc. Am. B 13, 900 (1996).
[CrossRef]

1995 (1)

1991 (1)

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

1989 (1)

A. M. Scott and K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

1985 (1)

I. D. Carr and D. C. Hanna, Appl. Phys. B. 36, 83 (1985).
[CrossRef]

1980 (1)

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

1979 (1)

B. Y. Zel'dovich and V. V. Shkunov, Sov. J. Quantum Elektron. 9, 379 (1979).
[CrossRef]

1978 (3)

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Andreev, N. F.

N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
[CrossRef]

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

Basov, N. G.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Blashchuck, V. N.

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

Carr, I. D.

I. D. Carr and D. C. Hanna, Appl. Phys. B. 36, 83 (1985).
[CrossRef]

Efimkov, V. F.

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Hanna, D. C.

I. D. Carr and D. C. Hanna, Appl. Phys. B. 36, 83 (1985).
[CrossRef]

Khazanov, E. A.

N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
[CrossRef]

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

Kotov, A. V.

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Krasheninnikov, V. N.

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

Kuznetsov, S. V.

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

Mel'nikov, N. A.

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

Mikhailov, S. I.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Mironov, A. B.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

Okulov, A. Y.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

Ottusch, J. J.

J. J. Ottusch and D. A. Rockwell, in Conference on Lasers and Electro-Optics, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 50.

Palashov, O. V.

N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
[CrossRef]

Pasmanik, G. A.

N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
[CrossRef]

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

Pilipetskii, N. F.

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

Ragul'skii, V. V.

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

Ridley, K. D.

Rockwell, D. A.

J. J. Ottusch and D. A. Rockwell, in Conference on Lasers and Electro-Optics, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 50.

Scott, A. M.

K. D. Ridley and A. M. Scott, J. Opt. Soc. Am. B 13, 900 (1996).
[CrossRef]

A. M. Scott and K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

Shklovsky, E. I.

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

Shkunov, V. V.

B. Y. Zel'dovich and V. V. Shkunov, Sov. J. Quantum Elektron. 9, 379 (1979).
[CrossRef]

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

Sidorin, V. S.

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

Smirnov, M. G.

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Zel'dovich, B. Y.

B. Y. Zel'dovich and V. V. Shkunov, Sov. J. Quantum Elektron. 9, 379 (1979).
[CrossRef]

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

Zubarev, I. G.

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Appl. Phys. B. (1)

I. D. Carr and D. C. Hanna, Appl. Phys. B. 36, 83 (1985).
[CrossRef]

IEEE J. Quantum Electron. (2)

A. M. Scott and K. D. Ridley, IEEE J. Quantum Electron. 25, 438 (1989).
[CrossRef]

N. F. Andreev, E. A. Khazanov, S. V. Kuznetsov, G. A. Pasmanik, E. I. Shklovsky, and V. S. Sidorin, IEEE J. Quantum Electron. 27, 135 (1991).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

V. N. Blashchuck, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, V. V. Shkunov, and B. Y. Zel'dovich, Opt. Commun. 27, 137 (1978).
[CrossRef]

Quantum Electron. (1)

N. F. Andreev, O. V. Palashov, G. A. Pasmanik, and E. A. Khazanov, Quantum Electron. 26, 19 (1996).
[CrossRef]

Sov. J. Quantum Elektron. (1)

B. Y. Zel'dovich and V. V. Shkunov, Sov. J. Quantum Elektron. 9, 379 (1979).
[CrossRef]

Sov. Phys. Dokl. (1)

V. N. Blashchuck, B. Y. Zel'dovich, V. N. Krasheninnikov, N. A. Mel'nikov, N. F. Pilipetskii, V. V. Ragul'skii, and V. V. Shkunov, Sov. Phys. Dokl. 23, 588 (1978).

Sov. Phys. JETP (1)

N. G. Basov, I. G. Zubarev, A. B. Mironov, S. I. Mikhailov, and A. Y. Okulov, Sov. Phys. JETP 52, 847 (1980).

Sov. Phys. JETP Lett. (1)

N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, S. I. Mikhailov, and M. G. Smirnov, Sov. Phys. JETP Lett. 28, 197 (1978).

Other (2)

R. A. Fisher, ed., Optical Phase Conjugation (Academic, Orlando, Fla., 1983).

J. J. Ottusch and D. A. Rockwell, in Conference on Lasers and Electro-Optics, Vol. 11 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991), p. 50.

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Figures (5)

Fig. 1
Fig. 1

Brillouin-enhanced four-wave mixing geometry of our experiments. The pump beams are A1 and A2, and the probe beams and their conjugates are A3 and A4, respectively.

Fig. 2
Fig. 2

Several applications of this BEFWM phase-conjugate mirror. For simplicity the pump beams are not explicitly shown. (a) Vector phase conjugation is obtained through use of a polarizing beam splitter (PBS). (b) Beam combining can be implemented as shown, with an ordinary beam splitter (BS). (c) Vector phase conjugation and beam combining are simultaneously produced.

Fig. 3
Fig. 3

Laser amplifier system based on the geometry shown in Fig.  2(c). Detector D2 is used to measure the amount of depolarized light, and detector D3 measures the amount of light that is coupled back toward the oscillator. The path lengths ΔL1 and ΔL2 can be adjusted to control the degree of depolarization while ΔL3 is used to adjust the fraction of the output coupled to detector D1.

Fig. 4
Fig. 4

Fractional depolarization versus the path length difference ΔL1 (or ΔL2). The origin of ΔL3 is arbitrary. Note that the amount of depolarization can be reduced to acceptable levels with only centimeter tolerances on the path length difference.

Fig. 5
Fig. 5

The return beam can be directed to either D1 or D3 by varying ΔL3. The path length difference need be regulated only to centimeter scale accuracy for nearly complete energy transfer to occur.

Equations (9)

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Em(z,t)=Am(z,t)exp[i(kmz-ωmt)]+c.c.
dA1dz=-gc4π[(A1·A2*)A2+(A1·A4*)A4+(A2*·A3)A4],
dA2dz=-gc4π[(A1*·A2)A2+(A1*·A4)A3+(A3*·A2)A3],
dA3dz=-gc4π[A2(A1·A4*)+(A2*·A3)A2+(A3·A4*)A4],
dA4dz=-gc4π[(A1*·A4)A1+A1(A2·A3*)+(A3*·A4)A3].
ϕ4x=ϕ1x+ϕ2x-ϕ3x,
Δβ=ϕ1x-ϕ1y+ϕ2x-ϕ2y.
(Δϕ)xyϕ4x-ϕ4y+ϕ3x-ϕ3y=ΩΔLc+Δβ.
η=121+2I4aI4bI4a+I4bcos[(Δϕ)ab].

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