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Formation of elliptical optical soliton in rectangular lead glass is theoretically investigated, and an anisotropic diffraction effect is introduced into our theoretical model. Using the variational approach, we obtain an analytic elliptic soliton solution in a strongly nonlocal medium with anisotropy, which demonstrates that anisotropic diffraction effect has a great influence on the formation of the elliptical optical soliton. To confirm the analytic solution, we work out the numerical solution by the Newton iterative method. And the analytic solution accords with the numerical solution very well.
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Keywords:
- strong nonlocality /
- linear anisotropic /
- variational approach
[1] Aitchison J S 1990 Opt. Lett. 15 471
[2] Segev M, Crosignani B, Yariv A 1992 Phys. Rev. Lett. 68 923
[3] Wang X S, She W L, Lee W K 2004 Opt. Lett. 29 277
[4] Snyder A W, Mitchell D J 1997 Science 276 1538
[5] Wang X, Bezryadina A, Chen Z 2007 Phys. Rev. Lett. 98 123903
[6] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612
[7] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901.
[8] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[9] Bang O, Krolikowski W, Wyller J, Rasmussen J J 2002 Phys. Rev. E 66 046619
[10] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[11] Guo Q 2004 Optical Transmission, Switching, and Subsystems (Washington: SPIE 5281) 581
[12] Guo Q, Chi S 2000 J. Opt. A-Pure Appl. Op. 2 5
[13] Polyakov S V, Stegeman G I 2002 Phys. Rev. E 66 046622
[14] Conti C, Oeccianti M, Assanto G 2005 Phys. Rev. E 72 066614
[15] Iturbe-Castillo M D, Stepanov S, Sanchz-Mondragon J J 1996 Opt. Lett. 21 1622
[16] Shou Q, Jiang Q, Guo Q 2009 J. Phys. A: Math. Theor. 42 205202
[17] Wang z x, Guo D R 2000 The Series of Advanced Physics of Peking University Introduction to Special Function (Vol. 1) (Beijing: Peking University Press) p520 (in Chinese) [王竹溪, 郭敦仁 2000 北京大学物理学丛书特殊函数概论(第一版) (北京: 北京大学出版社) 第520页]
[18] Goldstein H, Poole C, Safko J 2005 Classical Mechanics (Vol. 3) (Beijing: Higher Education Press ) p558-598
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[1] Aitchison J S 1990 Opt. Lett. 15 471
[2] Segev M, Crosignani B, Yariv A 1992 Phys. Rev. Lett. 68 923
[3] Wang X S, She W L, Lee W K 2004 Opt. Lett. 29 277
[4] Snyder A W, Mitchell D J 1997 Science 276 1538
[5] Wang X, Bezryadina A, Chen Z 2007 Phys. Rev. Lett. 98 123903
[6] Krolikowski W, Bang O, Rasmussen J J, Wyller J 2001 Phys. Rev. E 64 016612
[7] Dreischuh A, Neshev D N, Petersen D E, Bang O, Krolikowski W 2006 Phys. Rev. Lett. 96 043901.
[8] Rotschild C, Cohen O, Manela O, Segev M 2005 Phys. Rev. Lett. 95 213904
[9] Bang O, Krolikowski W, Wyller J, Rasmussen J J 2002 Phys. Rev. E 66 046619
[10] Conti C, Peccianti M, Assanto G 2004 Phys. Rev. Lett. 92 113902
[11] Guo Q 2004 Optical Transmission, Switching, and Subsystems (Washington: SPIE 5281) 581
[12] Guo Q, Chi S 2000 J. Opt. A-Pure Appl. Op. 2 5
[13] Polyakov S V, Stegeman G I 2002 Phys. Rev. E 66 046622
[14] Conti C, Oeccianti M, Assanto G 2005 Phys. Rev. E 72 066614
[15] Iturbe-Castillo M D, Stepanov S, Sanchz-Mondragon J J 1996 Opt. Lett. 21 1622
[16] Shou Q, Jiang Q, Guo Q 2009 J. Phys. A: Math. Theor. 42 205202
[17] Wang z x, Guo D R 2000 The Series of Advanced Physics of Peking University Introduction to Special Function (Vol. 1) (Beijing: Peking University Press) p520 (in Chinese) [王竹溪, 郭敦仁 2000 北京大学物理学丛书特殊函数概论(第一版) (北京: 北京大学出版社) 第520页]
[18] Goldstein H, Poole C, Safko J 2005 Classical Mechanics (Vol. 3) (Beijing: Higher Education Press ) p558-598
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