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研究同时具有二阶和三阶非线性的一维光子晶体中的耦合孤子动力学 .从Maxwell方程出发 ,利用多重尺度法 ,导出了光学整流场与两个基频电场包络的非线性耦合模方程组 ,给出了耦合模方程组的孤子解 .结果表明 ,由于二阶非线性导致的光学整流场对基频电场有调制作用 ,使得两个基频电场分量可以呈现为亮孤子 亮孤子、暗孤子 暗孤子及亮孤子 -暗孤子对 ;当两个基频电场的振动频率趋于光子晶体频带的带边频率时 ,光学整流场消失
The coupling soliton dynamics in one-dimensional photonic crystals with second-order and third-order nonlinearity are investigated. Based on the Maxwell equation, the nonlinear coupling modes of the optical rectification field and the two fundamental frequency electric field envelopes The soliton solutions of the coupled-mode equations are given.The results show that the optical rectification field due to the second-order nonlinearity has a modulation effect on the fundamental frequency electric field so that the two fundamental frequency electric field components can be presented as bright soliton bright solitons, Dark soliton dark soliton and bright soliton-dark soliton pair. When the vibration frequencies of the two fundamental electric fields tend to the band edge frequencies of the photonic crystal, the optical rectification field disappears