厄米-高斯光束在饱和非线性介质中的传输特性

摘要

In order to study propagation properties of Hermite-Gaussian beams in photorefractive saturable nonlinear media,finite difference method was used to solve the evolution equation of light wave numerically and analyze the propagation properties of Hermite-Gaussian beams theoretically.The results show that,under suitable nonlinear conditions,1-D Hermite-Gaussian beams of 1-order,2-order and 3-order can form the solitons in respiratory mode during the propagation in photorefractive nonlinear media.With the increase of nonlinearity,the separation tendency among light field components of Hermite-Gaussian beams would become weaker.At the same time,the amplitude fluctuation effect of each light field component would be more obvious.The changes of incident position and incident angle of Hermite-Ganssian beams have no influence on its propagation characteristics.The transmission characteristics of 2-D Hermite-Gaussian beams are similar to those of 1-D.These properties of Hermite-Gaussian beams have certain application prospects in the field of optical switching.%为了研究厄米-高斯光束在光折变饱和非线性介质中的传输特性,采用有限差分方法数值求解了光波演化方程,理论分析了厄米-高斯光束的传输特性.结果表明,1维1阶、2阶和3阶厄米-高斯光束在光折变非线性介质中传输时,在合适的非线性条件下,均可以形成呼吸模式的孤子;随着非线性的加大,厄米-高斯光束的光场分量之间的相互分离趋势将逐渐变弱,同时,每个光场分量的振幅起伏效应会更加明显;改变厄米-高斯光束的入射位置、入射角度对其传输特性没有影响;2维厄米-高斯光束的传输特性和1维情况是类似的.厄米-高斯光束的这些特性在光开关领域有一定的应用前景.