中国物理B ›› 2012, Vol. 21 ›› Issue (6): 64218-064218.doi: 10.1088/1674-1056/21/6/064218

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Elegant Ince–Gaussian breathers in strongly nonlocal nonlinear media

白志勇, 邓冬梅, 郭旗   

  1. Key Laboratory of Photonic Information Technology of Guangdong Higher Educaiton Institutes,South China Normal University, Guangzhou 510631, China
  • 收稿日期:2011-08-31 修回日期:2011-12-11 出版日期:2012-05-01 发布日期:2012-05-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11074080 and 10904041), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20094407110008), and the Natural Science Foundation of Guangdong Province of China (Grant No. 10151063101000017).

Elegant Ince–Gaussian breathers in strongly nonlocal nonlinear media

Bai Zhi-Yong(白志勇), Deng Dong-Mei(邓冬梅), and Guo Qi(郭旗)†   

  1. Key Laboratory of Photonic Information Technology of Guangdong Higher Educaiton Institutes,South China Normal University, Guangzhou 510631, China
  • Received:2011-08-31 Revised:2011-12-11 Online:2012-05-01 Published:2012-05-01
  • Contact: Guo Qi E-mail:guoq@scnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11074080 and 10904041), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20094407110008), and the Natural Science Foundation of Guangdong Province of China (Grant No. 10151063101000017).

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摘要： A novel class of optical breathers, called elegant Ince-Gaussian breathers, are presented in this paper. They are exact analytical solutions to Snyder and Mitchell's mode in an elliptic coordinate system, and their transverse structures are described by Ince-polynomials with complex arguments and a Gaussian function. We provide convincing evidence for the correctness of the solutions and the existence of the breathers via comparing the analytical solutions with numerical simulation of the nonlocal nonlinear Schrödinger equation.

关键词: elegant Ince-Gaussian breathers, nonlocal nonlinear media

Abstract: A novel class of optical breathers, called elegant Ince-Gaussian breathers, are presented in this paper. They are exact analytical solutions to Snyder and Mitchell's mode in an elliptic coordinate system, and their transverse structures are described by Ince-polynomials with complex arguments and a Gaussian function. We provide convincing evidence for the correctness of the solutions and the existence of the breathers via comparing the analytical solutions with numerical simulation of the nonlocal nonlinear Schrödinger equation.

Key words: elegant Ince-Gaussian breathers, nonlocal nonlinear media

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

  • 42.65.Tg
42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation)