中国物理B ›› 2002, Vol. 11 ›› Issue (9): 919-925.doi: 10.1088/1009-1963/11/9/313

• • 上一篇    下一篇

Vectorial coupled-mode solitons in one-dimensional photonic crystals

黄国翔1, 崔维娜1, 朱善华2   

  1. (1)Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China; (2)Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China; Department of Information and Computer Sciences, Zhuzhou Institute of Technology, Zhuzhou 412008, China
  • 收稿日期:2002-04-11 修回日期:2002-04-30 出版日期:2002-09-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 19975019), and the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China.

Vectorial coupled-mode solitons in one-dimensional photonic crystals

Zhu Shan-Hua (朱善华)ab, Huang Guo-Xiang (黄国翔)a, Cui Wei-Na (崔维娜)a   

  1. a Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China; b Department of Information and Computer Sciences, Zhuzhou Institute of Technology, Zhuzhou 412008, China
  • Received:2002-04-11 Revised:2002-04-30 Online:2002-09-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 19975019), and the Trans-Century Training Programme Foundation for the Talents by the Ministry of Education of China.

PDF (PC)

471

赞

摘要： We study the dynamics of vectorial coupled-mode solitons in one-dimensional photonic crystals with quadratic and cubic nonlinearities. Starting from Maxwell's equations, the vectorial coupled-mode equations for the envelopes of two fundamental-frequency optical mode and one low-frequency mode components due to optical rectification are derived by means of the method of multiple scales. A set of coupled soliton solutions of the vectorial coupled-mode equations is provided. The results show that a modulation of the fundamental-frequency optical modes occurs due to the optical rectification field resulting from the quadratic nonlinearity. The optical rectification field disappears when the frequency of the fundamental-frequency optical fields approaches the edge of the photonic bands.

Abstract: We study the dynamics of vectorial coupled-mode solitons in one-dimensional photonic crystals with quadratic and cubic nonlinearities. Starting from Maxwell's equations, the vectorial coupled-mode equations for the envelopes of two fundamental-frequency optical mode and one low-frequency mode components due to optical rectification are derived by means of the method of multiple scales. A set of coupled soliton solutions of the vectorial coupled-mode equations is provided. The results show that a modulation of the fundamental-frequency optical modes occurs due to the optical rectification field resulting from the quadratic nonlinearity. The optical rectification field disappears when the frequency of the fundamental-frequency optical fields approaches the edge of the photonic bands.

Key words: photonic crystals, coupled-mode optical solitons

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

  • 42.65.Tg
42.70.Qs (Photonic bandgap materials) 02.10.Ud (Linear algebra)