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Vectorial coupled—mode solitons in one—dimensional photonic crystals
引用本文:朱善华,黄国翔,崔维娜. Vectorial coupled—mode solitons in one—dimensional photonic crystals[J]. 中国物理, 2002, 11(9): 919-925. DOI: 10.1088/1009-1963/11/9/313
作者姓名:朱善华  黄国翔  崔维娜
作者单位:(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
基金项目: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.
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.

关 键 词:光学晶体 光孤子解 光处理技术
收稿时间:2002-04-11

Vectorial coupled-mode solitons in one-dimensional photonic crystals
Zhu Shan-Hu,Huang Guo-Xiang and Cui Wei-Na. Vectorial coupled-mode solitons in one-dimensional photonic crystals[J]. Chinese Physics, 2002, 11(9): 919-925. DOI: 10.1088/1009-1963/11/9/313
Authors:Zhu Shan-Hu  Huang Guo-Xiang  Cui Wei-Na
Affiliation: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
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.
Keywords:photonic crystals   coupled-mode optical solitons
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