High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals  

High-Dimensional Nonlinear Envelope Equations and Nonlinear Localized Excitations in Photonic Crystals

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作  者:HANG Chao HUANG Guo-Xiang 

机构地区:Department of Physics, East China Normal University, Shanghai 200062, China

出  处:《Communications in Theoretical Physics》2006年第1X期149-154,共6页理论物理通讯(英文版)

基  金: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: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.

关 键 词:photonic crystal DROMION 

分 类 号:O43[机械工程—光学工程]

 

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