Abstract

The modulation instability of quasi-plane-wave optical beams is investigated in the frame of generalized Schrodinger equation with the nonlinear term of a general form. General expressions are derived for the dispersion relation, the critical transverse spatial frequency, as well as the instability growth rate. The analysis generalizes the known results reported previously. A detailed discussion on the modulation instability in biased centrosymmetric photorefractive media is also given.

© 2005 Chinese Optics Letters

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X. Wang and W. She, Phys. Rev. E 71, 026601 (2005).

J.-S. Liu, H.-L. Zhang, C. Wang, and Z.-M. Du, Chin. Phys. Lett. 22, 361 (2005).

H. Wang and W. She, Opt. Commun. 254, 145 (2005).

J. Zhang and C. Dai, Chin. Opt. Lett. 3, 295 (2005).

F. Ye, L. Dong, J. Wang, T. Cai, and Y.-P. Li, Chin. Opt. Lett. 3, 227 (2005).

2004

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

A. Biswas, Appl. Mathematics and Computation 153, 369 (2004).

H.-C. Wang, X.-S. Wang, and W.-L. She, Chin. Phys. Lett. 21, 2441 (2004).

2002

K.-Q. Lu, S.-X. Qian, C.-S. Dou, and Z.-S. Wu, Chin. Phys. Lett. 19, 1298 (2002).

2000

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

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1996

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).

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1989

Agranat, A.

Agranat, A. J.

Bartal, G.

O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

Biswas, A.

A. Biswas, Appl. Mathematics and Computation 153, 369 (2004).

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O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

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Carmon, T.

O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

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M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).

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O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).

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O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

Dai, C.

Dianov, E. M.

Dong, L.

Dou, C.-S.

K.-Q. Lu, S.-X. Qian, C.-S. Dou, and Z.-S. Wu, Chin. Phys. Lett. 19, 1298 (2002).

Du, Z.-M.

J.-S. Liu, H.-L. Zhang, C. Wang, and Z.-M. Du, Chin. Phys. Lett. 22, 361 (2005).

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D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

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O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

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K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

Hofmeister, R.

Kip, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

Kivshar, Y. S.

Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).

Li, J.-P.

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

Li, Y.-P.

Liu, J.-S.

J.-S. Liu, H.-L. Zhang, C. Wang, and Z.-M. Du, Chin. Phys. Lett. 22, 361 (2005).

Lu, K.-Q.

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

K.-Q. Lu, S.-X. Qian, C.-S. Dou, and Z.-S. Wu, Chin. Phys. Lett. 19, 1298 (2002).

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Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).

Mamyshev, P. V.

Prokhorov, A. M.

Qian, S.-X.

K.-Q. Lu, S.-X. Qian, C.-S. Dou, and Z.-S. Wu, Chin. Phys. Lett. 19, 1298 (2002).

Segev, M.

O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).

M. Segev, Opt. and Quantum Electron. 30, 503 (1998).

M. Segev and A. J. Agranat, Opt. Lett. 22, 1299 (1997).

She, W.

H. Wang and W. She, Opt. Commun. 254, 145 (2005).

X. Wang and W. She, Phys. Rev. E 71, 026601 (2005).

She, W.-L.

H.-C. Wang, X.-S. Wang, and W.-L. She, Chin. Phys. Lett. 21, 2441 (2004).

Sheu, F.-W.

Shih, M.-F.

Singh, S. R.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).

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D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

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G. I. Stegeman and M. Segev, Science 286, 1518 (1999).

Sun, C.-D.

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

Wang, C.

J.-S. Liu, H.-L. Zhang, C. Wang, and Z.-M. Du, Chin. Phys. Lett. 22, 361 (2005).

Wang, H.

H. Wang and W. She, Opt. Commun. 254, 145 (2005).

Wang, H.-C.

H.-C. Wang, X.-S. Wang, and W.-L. She, Chin. Phys. Lett. 21, 2441 (2004).

Wang, J.

Wang, X.

X. Wang and W. She, Phys. Rev. E 71, 026601 (2005).

Wang, X.-S.

H.-C. Wang, X.-S. Wang, and W.-L. She, Chin. Phys. Lett. 21, 2441 (2004).

Wu, Z.-S.

K.-Q. Lu, S.-X. Qian, C.-S. Dou, and Z.-S. Wu, Chin. Phys. Lett. 19, 1298 (2002).

Yang, Y.-L.

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

Yariv, A.

Ye, F.

Zhang, H.-L.

J.-S. Liu, H.-L. Zhang, C. Wang, and Z.-M. Du, Chin. Phys. Lett. 22, 361 (2005).

Zhang, J.

Zhang, Y.-P.

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

Zhao, W.

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

Zhu, X.-P.

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

Appl. Mathematics and Computation

A. Biswas, Appl. Mathematics and Computation 153, 369 (2004).

Chin. Opt. Lett.

Chin. Phys.

K.-Q. Lu, W. Zhao, Y.-L. Yang, X.-P. Zhu, J.-P. Li, and Y.-P. Zhang, Chin. Phys. 13, 2077 (2004).

Chin. Phys. Lett.

J.-S. Liu, H.-L. Zhang, C. Wang, and Z.-M. Du, Chin. Phys. Lett. 22, 361 (2005).

K.-Q. Lu, S.-X. Qian, C.-S. Dou, and Z.-S. Wu, Chin. Phys. Lett. 19, 1298 (2002).

K.-Q. Lu, W. Zhao, Y.-L. Yang, C.-D. Sun, H.-W. Gao, J.-P. Li, and Y.-P. Zhang, Chin. Phys. Lett. 21, 1086 (2004).

H.-C. Wang, X.-S. Wang, and W.-L. She, Chin. Phys. Lett. 21, 2441 (2004).

Nature

O. Cohen, G. Bartal, H. Buljan, T. Carmon, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Nature 433, 500 (2005).

Opt. and Quantum Electron.

M. Segev, Opt. and Quantum Electron. 30, 503 (1998).

Opt. Commun.

H. Wang and W. She, Opt. Commun. 254, 145 (2005).

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).

Opt. Lett.

Phys. Rep.

Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).

Phys. Rev. E

X. Wang and W. She, Phys. Rev. E 71, 026601 (2005).

Science

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).

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