Abstract

A model to describe the fanning effect based on the beam-coupling mechanism in photorefractive crystals is presented. The intensity distribution of the fanning beam in a 45°-cut BaTiO3 crystal is measured experimentally. The results show good quantitative agreement with theory.

© 1993 Optical Society of America

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References

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1991

1990

J. Joseph, P. K. C. Pillai, K. Singh, Opt. Commun. 80, 84 (1990).
[CrossRef]

1989

1987

1985

M. Cronin-Colomb, A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

1984

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

1982

1980

V. V. Voronov, I. R. Dorosh, Yu. S. Kuz’minov, N. V. Tkachenko, Sov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

J. Feinberg, R. W. Hellwarth, Opt. Lett. 5, 519 (1980); J. Feinberg, Opt. Lett. 7, 486 (1982).
[CrossRef] [PubMed]

Bialkowski, S. E.

Cronin-Colomb, M.

M. Cronin-Colomb, A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

Cronin-Golomb, M.

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Delboulbe, A.

Dorosh, I. R.

V. V. Voronov, I. R. Dorosh, Yu. S. Kuz’minov, N. V. Tkachenko, Sov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Ewbank, M. D.

Fainman, Y.

Feinberg, J.

Feldman, B. J.

Fisher, B.

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Ford, J. E.

Gilbreath, G. C.

Gu, C.

Hellwarth, R. W.

Huignard, J. P.

Joseph, J.

J. Joseph, P. K. C. Pillai, K. Singh, Opt. Commun. 80, 84 (1990).
[CrossRef]

Kuz’minov, Yu. S.

V. V. Voronov, I. R. Dorosh, Yu. S. Kuz’minov, N. V. Tkachenko, Sov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Lee, S. H.

Neurgaonkar, R. R.

Pillai, P. K. C.

J. Joseph, P. K. C. Pillai, K. Singh, Opt. Commun. 80, 84 (1990).
[CrossRef]

Rabinovich, W. S.

Rajbenbach, H.

Singh, K.

J. Joseph, P. K. C. Pillai, K. Singh, Opt. Commun. 80, 84 (1990).
[CrossRef]

Tkachenko, N. V.

V. V. Voronov, I. R. Dorosh, Yu. S. Kuz’minov, N. V. Tkachenko, Sov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

Vachss, F. R.

Valley, G. C.

Vasquez, R. A.

Voronov, V. V.

V. V. Voronov, I. R. Dorosh, Yu. S. Kuz’minov, N. V. Tkachenko, Sov. J. Quantum Electron. 10, 1346 (1980).
[CrossRef]

White, J. O.

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Yariv, A.

M. Cronin-Colomb, A. Yariv, J. Appl. Phys. 57, 4906 (1985).
[CrossRef]

M. Cronin-Golomb, B. Fisher, J. O. White, A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Yeh, P.

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Figures (3)

Fig. 1
Fig. 1

Scheme for illustrating beam fanning.

Fig. 2
Fig. 2

Intensity distribution of the fanning beam in +45°-orientation BaTiO3 crystal. The solid curves correspond to the theory; the circles and triangles correspond to experiment. (a) Curve 1, θ′ = −10°; curve 2, θ′ = 10°. (b) Curve 1, θ′ = 0°; curve 2, θ′ = 20°.

Fig. 3
Fig. 3

Intensity distribution of the fanning beam in +45°-orientation (curve 1 and circles) and −45°-orientation (curve 2 and triangles) BaTiO3 crystals. The solid curves correspond to theory; the circles and triangles correspond to experiment, with θ′ = 0°.

Equations (5)

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d I d z = - - π / 2 π / 2 γ ( α ) I i ( α ) I 0 d α - - π / 2 π / 2 f ( α ) I d α , d i ( α ) d z = cos θ cos α γ ( α ) I i ( α ) I 0 + f ( α ) I , I 0 = I ( z = 0 ) = I + - π / 2 π / 2 i ( α ) d α .
γ ( α ) = ω 2 n e c cos θ E sc ( α ) r eff ( α ) ,
E sc ( α ) = k B T q K g ( α ) 1 + K g 2 ( α ) / K 0 2 e · e α ,
K 0 = [ N q 2 ( α ) 0 k B T ] 1 / 2 ,
r eff ( α ) = 1 2 { n o 4 r 13 [ cos ( α - θ ) - cos 2 β ] + 4 n e 2 n o 2 r 42 × sin 2 β + n e 4 r 33 [ cos 2 β + cos ( α - θ ) ] } cos β ,

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