Abstract

By means of an exact solution, we demonstrate that a Gaussian beam can undergo spatial compression when it traverses a photorefractive medium. This is possible provided that the external bias field exceeds the critical value necessary to establish photorefractive spatial solitons. In this regime and under paraxial assumptions our analysis indicates that a Gaussian beam tends to exhibit self-focusing collapse. Beam self-deflection effects that arise from the π/2-phase-shifted component of the photorefractive grating are also considered in our study.

© 1994 Optical Society of America

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References

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  1. M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
    [CrossRef] [PubMed]
  2. B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
    [CrossRef]
  3. G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
    [CrossRef] [PubMed]
  4. M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
    [CrossRef]
  5. J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
    [CrossRef] [PubMed]
  6. M. Segev, Y. Ophir, B. Fischer, Opt. Commun. 77, 265 (1990).
    [CrossRef]
  7. O. V. Lyubomudrov, V. V. Shkunov, Sov. J. Quantum Electron. 22, 1121 (1992).
    [CrossRef]
  8. P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993), Chap. 3.
  9. M. Segev, Y. Ophir, B. Fisher, Appl. Phys. Lett. 56, 1086 (1990).
    [CrossRef]
  10. J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
    [CrossRef]
  11. V. E. Zakharov, E. A. Kuznetsov, Sov. Phys. JETP 64, 773 (1986).

1994 (1)

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

1993 (2)

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

1992 (2)

O. V. Lyubomudrov, V. V. Shkunov, Sov. J. Quantum Electron. 22, 1121 (1992).
[CrossRef]

M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

1990 (3)

M. Segev, Y. Ophir, B. Fischer, Opt. Commun. 77, 265 (1990).
[CrossRef]

M. Segev, Y. Ophir, B. Fisher, Appl. Phys. Lett. 56, 1086 (1990).
[CrossRef]

J. S. Aitchison, A. M. Weiner, Y. Silberberg, M. K. Oliver, J. L. Jackel, D. E. Leaird, E. M. Vogel, P. W. Smith, Opt. Lett. 15, 471 (1990).
[CrossRef] [PubMed]

1986 (1)

V. E. Zakharov, E. A. Kuznetsov, Sov. Phys. JETP 64, 773 (1986).

1975 (1)

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[CrossRef]

Aguilar, P. A.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Aitchison, J. S.

Castillo, M. D.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Crosignani, B.

B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Duree, G. C.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Engin, D.

Fischer, B.

M. Segev, Y. Ophir, B. Fischer, Opt. Commun. 77, 265 (1990).
[CrossRef]

Fisher, B.

M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

M. Segev, Y. Ophir, B. Fisher, Appl. Phys. Lett. 56, 1086 (1990).
[CrossRef]

Jackel, J. L.

Kuznetsov, E. A.

V. E. Zakharov, E. A. Kuznetsov, Sov. Phys. JETP 64, 773 (1986).

Leaird, D. E.

Lyubomudrov, O. V.

O. V. Lyubomudrov, V. V. Shkunov, Sov. J. Quantum Electron. 22, 1121 (1992).
[CrossRef]

Marburger, J. H.

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[CrossRef]

Mondragon, J. J.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Neurgaonkar, R.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Oliver, M. K.

Ophir, Y.

M. Segev, Y. Ophir, B. Fisher, Appl. Phys. Lett. 56, 1086 (1990).
[CrossRef]

M. Segev, Y. Ophir, B. Fischer, Opt. Commun. 77, 265 (1990).
[CrossRef]

Porto, P.

B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Salamo, G.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

Segev, M.

B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

M. Segev, Y. Ophir, B. Fisher, Appl. Phys. Lett. 56, 1086 (1990).
[CrossRef]

M. Segev, Y. Ophir, B. Fischer, Opt. Commun. 77, 265 (1990).
[CrossRef]

Sharp, E.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Shkunov, V. V.

O. V. Lyubomudrov, V. V. Shkunov, Sov. J. Quantum Electron. 22, 1121 (1992).
[CrossRef]

Shultz, J. L.

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Silberberg, Y.

Smith, P. W.

Stepanov, S.

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Vogel, E. M.

Weiner, A. M.

Yariv, A.

B. Crosignani, M. Segev, D. Engin, P. Porto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 446 (1993).
[CrossRef]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

Yeh, P.

P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993), Chap. 3.

Zakharov, V. E.

V. E. Zakharov, E. A. Kuznetsov, Sov. Phys. JETP 64, 773 (1986).

Appl. Phys. Lett. (2)

M. D. Castillo, P. A. Aguilar, J. J. Mondragon, S. Stepanov, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

M. Segev, Y. Ophir, B. Fisher, Appl. Phys. Lett. 56, 1086 (1990).
[CrossRef]

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

Opt. Commun. (1)

M. Segev, Y. Ophir, B. Fischer, Opt. Commun. 77, 265 (1990).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. Lett. (2)

M. Segev, B. Crosignani, A. Yariv, B. Fisher, Phys. Rev. Lett. 68, 923 (1992).
[CrossRef] [PubMed]

G. C. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. Porto, E. Sharp, R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993).
[CrossRef] [PubMed]

Prog. Quantum Electron. (1)

J. H. Marburger, Prog. Quantum Electron. 4, 35 (1975).
[CrossRef]

Sov. J. Quantum Electron. (1)

O. V. Lyubomudrov, V. V. Shkunov, Sov. J. Quantum Electron. 22, 1121 (1992).
[CrossRef]

Sov. Phys. JETP (1)

V. E. Zakharov, E. A. Kuznetsov, Sov. Phys. JETP 64, 773 (1986).

Other (1)

P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993), Chap. 3.

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Equations (14)

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

i U z + i α U + 1 2 k U x x + k n 1 1 U * U ( x - x , z ) U * ( x + x , z ) g ( x , x ) d x d x = 0 ,
δ n ^ ( k x , k x ) = g ( x , x ) × exp [ - i ( k x x + k x x ) ] d x d x ,
E m ( k x , k x ) = E p ( i E 0 - E d ) E 0 + i ( E d + E p ) ,
i U z + i α U + 1 2 k U x x + k n 1 1 U * [ B U 2 + B d 2 ( U 2 ) x x + Γ ( U 2 ) x ] = 0.
i u ξ + 1 2 u s s + [ β ( u 2 ) s s u 2 + γ ( u 2 ) s u 2 ] u = 0.
u ( ξ , s ) = A ( ξ ) exp [ - η 2 2 a 2 ( ξ ) ] × exp { i [ θ ( ξ ) + η μ ( ξ ) + η 2 F ( ξ ) ] } ,
η = s + ν ( ξ )
a 2 ( ξ ) = 1 + ( 1 + 8 β ) ξ 2 ,
A 2 ( ξ ) = u 0 2 / a ( ξ ) ,
F ( ξ ) = ( 1 + 8 β ) ( ξ / 2 ) [ a ( ξ ) ] - 2 ,
μ ( ξ ) = - 2 γ ( 1 + 8 β ) - 1 / 2 tan - 1 [ ( 1 + 8 β ) 1 / 2 ξ ] ,
μ ( ξ ) = - 2 γ ( 1 + 8 β ) - 1 / 2 tanh - 1 [ ( 1 + 8 β ) 1 / 2 ξ ] ,
ν ( ξ ) = - { μ ( ξ ) ξ + 2 γ ( 1 + 8 β ) - 1 ln [ a ( ξ ) ] } ,
θ ( ξ ) = θ 0 + 1 2 0 ξ d ξ μ 2 ( ξ ) + ( 1 + 4 β ) 4 γ μ ( ξ ) .

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