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
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
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.
Received: 11 April 2002
Revised: 30 April 2002
Accepted manuscript online:
Fund: 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.
Cite this article:
Zhu Shan-Hua (朱善华), Huang Guo-Xiang (黄国翔), Cui Wei-Na (崔维娜) Vectorial coupled-mode solitons in one-dimensional photonic crystals 2002 Chinese Physics 11 919
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