一维浅栅光子晶体中的矢量耦合模孤子

Vectorial Coupled-mode Solitons in One-dimensional Shallow Grating Photonic Crystals

研究同时具有二阶和三阶非线性效应的一维浅栅光子晶体中的矢量耦合模孤子动力学。从Maxwell方程出发,利用多重尺度法,导出了电光场、光学整流场与基频光场包络的非线性矢量耦合模方程组,给出了耦合模方程组的孤子解。结果表明由二阶非线性导致的光学整流场对基频光场没有调制作用。

The dynamics of vectorial coupled-mode solitons in one-dimensional shallow grating photonic crystals with quadratic and cubic nonlinearities is discussed. Beginning with Maxwell equations, it deduces the electr-optical field and one low-frequency mode components due to optical rectification by the method of multiple scales and gives the vectorial coupled-mode equations for the envelopes of two fundamental frequency optical mode. 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 do not occur due to the optical rectification field resulting from the quadratic nonlinearity.