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High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals
作者姓名:HANG  Chao  HUANG  Guo-Xiang
作者单位:Department of Physics, East China Normal University, Shanghai 200062, China
基金项目:The project supported by National Natural Science Foundation of China under Grant Nos. 90403008 and 10434060, and the State Key Major Research and Development Program of China
摘    要:

关 键 词:光子晶体  非线性局部结构  光学脉冲  短波激励
收稿时间:2005-10-08
修稿时间:2005-10-08

High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals
HANG Chao HUANG Guo-Xiang.High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals[J].Communications in Theoretical Physics,2006,46(1):149-154.
Authors:HANG;Chao;HUANG;Guo-Xiang
Abstract:We investigate the nonlinear localized structures of optical pulses propagating in a one-dimensional photonic crystal with a quadratic nonlinearity. Using a method of multiple scales we show that the nonlinear evolution of a wave packet, formed by the superposition of short-wavelength excitations, and long-wavelength mean fields, generated by the self-interaction of the wave packet, are governed by a set of coupled high-dimenslonal nonlinear envelope equations, which can be reduced to Davey-Stewartson equations and thus support dromionlike high-dimensional nonlinear excitations in the system.
Keywords:photonic crystal  dromion
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