Abstract

We derive vector soliton solutions for photorefractive media in which the refractive-index perturbations must be treated as tensors. The two polarizations of the vector solitons may be coupled through the space-charge field alone and/or through cross terms in the electro-optic tensor, which requires phase matching and specific configurations. We analyze bright planar vector solitons and verify their stability.

© 1995 Optical Society of America

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  1. M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
    [CrossRef] [PubMed]
  2. G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
    [CrossRef] [PubMed]
  3. D. N. Christodoulides, M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
    [CrossRef] [PubMed]
  4. M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
    [CrossRef]
  5. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
    [CrossRef] [PubMed]
  6. M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
    [CrossRef]
  7. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
    [CrossRef] [PubMed]
  8. M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).
  9. D. N. Christodoulides, R. I. Joseph, Opt. Lett. 13, 53 (1988)N. Akhmediev, A. Ankiewicz, Phys. Rev. Lett. 70, 2395 (1993).
    [CrossRef] [PubMed]
  10. A. W. Snyder, S. J. Hewlett, D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
    [CrossRef] [PubMed]
  11. P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).
  12. S. Gatz, J. Herrmann, J. Opt. Soc. Am. B 8, 2296 (1991).
    [CrossRef]
  13. S. R. Singh, D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
    [CrossRef]

1995 (2)

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

S. R. Singh, D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

1994 (5)

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

A. W. Snyder, S. J. Hewlett, D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
[CrossRef] [PubMed]

D. N. Christodoulides, M. I. Carvalho, Opt. Lett. 19, 1714 (1994).
[CrossRef] [PubMed]

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

1993 (1)

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

1992 (1)

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
[CrossRef] [PubMed]

1991 (1)

1988 (1)

Bashaw, M.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).

Carvalho, M. I.

Christodoulides, D. N.

Crosignani, B.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
[CrossRef] [PubMed]

DiPorto, P.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Duree, G.

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Fejer, M. M.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).

Fischer, B.

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
[CrossRef] [PubMed]

Gatz, S.

Herrmann, J.

Hewlett, S. J.

A. W. Snyder, S. J. Hewlett, D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
[CrossRef] [PubMed]

Iturbe-Castillo, M. D.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Joseph, R. I.

Marquez-Aguilar, P. A.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Mitchell, D. J.

A. W. Snyder, S. J. Hewlett, D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
[CrossRef] [PubMed]

Neurgaonkar, R. R.

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Salamo, G.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Sanchez-Mondragon, J. J.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Segev, M.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
[CrossRef] [PubMed]

M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).

Sharp, E.

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Shih, M.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

Shultz, J. L.

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Singh, S. R.

S. R. Singh, D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

Snyder, A. W.

A. W. Snyder, S. J. Hewlett, D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
[CrossRef] [PubMed]

Stepanov, S.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Taya, M.

M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).

Valley, G. C.

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).

Vysloukh, V.

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Yariv, A.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
[CrossRef] [PubMed]

Yeh, P.

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

Appl. Phys. Lett. (1)

M. D. Iturbe-Castillo, P. A. Marquez-Aguilar, J. J. Sanchez-Mondragon, S. Stepanov, V. Vysloukh, Appl. Phys. Lett. 64, 408 (1994).
[CrossRef]

Electron. Lett. (1)

M. Shih, M. Segev, G. C. Valley, G. Salamo, B. Crosignani, P. DiPorto, Electron. Lett. 31, 826 (1995).
[CrossRef]

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

Opt. Commun. (1)

S. R. Singh, D. N. Christodoulides, Opt. Commun. 118, 569 (1995).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, M. Bashaw, Phys. Rev. A 50, R4457 (1994).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

A. W. Snyder, S. J. Hewlett, D. J. Mitchell, Phys. Rev. Lett. 72, 1012 (1994).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, A. Yariv, Phys. Rev. Lett. 73, 3211 (1994).
[CrossRef] [PubMed]

M. Segev, B. Crosignani, A. Yariv, B. Fischer, Phys. Rev. Lett. 68, 923 (1992)B. Crosignani, M. Segev, D. Engin, P. DiPorto, A. Yariv, G. Salamo, J. Opt. Soc. Am. B 10, 449 (1993).
[CrossRef] [PubMed]

G. Duree, J. L. Shultz, G. Salamo, M. Segev, A. Yariv, B. Crosignani, P. DiPorto, E. Sharp, R. R. Neurgaonkar, Phys. Rev. Lett. 71, 533 (1993)Phys. Rev. Lett. 74, 1978 (1995)Opt. Photon. News 4(12), 8 (1993)Opt. Photon. News 5(12), 9 (1994)Opt. Lett. 19, 1195, 1296 (1994).
[CrossRef] [PubMed]

Other (2)

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

M. Taya, M. Bashaw, M. M. Fejer, M. Segev, G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A (to be published).

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Figures (1)

Fig. 1
Fig. 1

Evolution of a cross-coupled vector soliton when its x-polarized input component (dashed curve) is perturbed by 10% in its amplitude from the soliton solution (identical to the unperturbed input y component; solid curve).

Equations (11)

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

2 E = μ 0 ɛ ˜ total ( 2 E / t 2 ) ,
Δ ɛ ˜ = - { ɛ ˜ · [ ( r ˜ · E sc ) · ɛ ˜ ] } / ɛ 0 ,
2 i k x A x z + 2 A x x 2 = - k 2 { Δ ɛ x x A x + Δ ɛ x y A y × exp [ i ( k y - k x ) z ] } / ɛ 0 , 2 i k y A y z + 2 A y x 2 = - k 2 { Δ ɛ x y A x exp [ - i ( k y - k x ) z ] + Δ ɛ y y A y } / ɛ 0 .
- 2 k x γ x u + u = - k 2 [ Δ ɛ x x u + Δ ɛ x y α u ] × exp ( i δ z ) ] / ɛ 0 ,
- 2 k y γ y u + u = - k 2 [ ( Δ ɛ x y / α ) u × exp ( - i δ z ) + Δ ɛ y y u ] / ɛ 0 ,
γ x u - u / 2 k x = - k 2 n x 4 r x x x E sc u / 2 k x .
u ¨ = ± ( γ x / b + E ) u ,
E ( ξ ) = - η u 2 ( α 2 + 1 ) + 1 qVL D k B T L s ,
p 2 - p 0 2 = ± { ( γ x / b ) ( u 2 - u 0 2 ) - C η α 2 + 1 × ln [ u 2 ( α 2 + 1 ) + 1 u 0 2 ( α 2 + 1 ) + 1 ] } ,
( γ x / b ) u 0 2 = C η α 2 + 1 ln [ u 0 2 ( α 2 + 1 ) + 1 ] ,
γ x u - u / 2 k x = - ( ± k / 2 ) n x n y 2 r x y x E sc u ,

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