具有高阶非线性的高色散光学介质中的光孤子控制

Optical Soliton Control in Highly Dispersive Optical Media with a Dual-Power Nonlinearity Law

文章通过数值地求解含高阶非线性、四阶色散的变系数非线性薛定谔方程,讨论在具有高阶非线性的高色散光学介质中的光孤子控制。结果表明,在一定的孤子控制系统中,存在具有周期性特征的光孤子,而且,当初始脉冲有频率漂移时,这样的具有周期性特征的光孤子也仍然存在。最后,讨论光孤子的稳定性。结果表明,虽然在白噪声扰动下,周期性特征已不明显,但光孤子脉冲的传输是稳定的。

In this paper, we investigate the generalized the nonlinear Schrodinger equation with variable coefficients, which describes optical soliton control in highly dispersive optical media with a dual-power nonlinearity law.The results show that optical soliton with periodic properties stably exists in the distributed system with or without initial frequency shift. Finally its stability is also analyzed. The results show that the propagation of optical soliton is stable under the perturbation of white noise,except for periodic properties are not obvious.