Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices

doi:10.1088/1674-1056/20/11/114214

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 114214-114214.doi: 10.1088/1674-1056/20/11/114214

Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices

梁检初¹, 徐四六², 李忠明²

(1)Department of Electronic Science, Huizhou University, Huizhou 516001, China; (2)School of Electronics and Information Engineering, Xianning University, Xianning 437100, China

收稿日期:2011-04-21 修回日期:2011-06-03 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2009CB921605).

Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices

Xu Si-Liu(徐四六)^a), Liang Jian-Chu(梁检初)^b), and Li Zhong-Ming(李忠明)^a)†

^a School of Electronics and Information Engineering, Xianning University, Xianning 437100, China; ^b Department of Electronic Science, Huizhou University, Huizhou 516001, China

Received:2011-04-21 Revised:2011-06-03 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2009CB921605).

摘要/Abstract

摘要： An exact self-similar solution to a (3+1)-dimensional nonlinear Schrödinger equation with gain in the Bessel-Hermite lattice is obtained analytically. The stability of the analytical solution is confirmed by using numerical simulation. It is shown that the light bullet has a stable ellipsoid or vortex profile and a linear spatiotemporal chirp.

关键词: spatiotemporal solitons, self-similar technology

Abstract: An exact self-similar solution to a (3+1)-dimensional nonlinear Schrödinger equation with gain in the Bessel-Hermite lattice is obtained analytically. The stability of the analytical solution is confirmed by using numerical simulation. It is shown that the light bullet has a stable ellipsoid or vortex profile and a linear spatiotemporal chirp.

Key words: spatiotemporal solitons, self-similar technology

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.81.Dp (Propagation, scattering, and losses; solitons)

徐四六, 梁检初, 李忠明. Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices[J]. 中国物理B, 2011, 20(11): 114214-114214.

Xu Si-Liu(徐四六), Liang Jian-Chu(梁检初), and Li Zhong-Ming(李忠明) . Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices[J]. Chin. Phys. B, 2011, 20(11): 114214-114214.

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Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices

Self-similar spatiotemporal solitary waves in Bessel–Hermite optical lattices

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