摘要
简要介绍了优化理论中的单纯形方法 ,并且应用到求解介质非线性光波导的色散方程。文中计算了非线性光波导传输特性的 2个实例 ,1)非对称 3层平板波导 ,由线性衬底、克尔型芯区和线性包层(L NL)组成 ;2 )对称 3层平板波导 ,由克尔型包层、衬底及线性芯区组成 (NL N)。数值结果表明 :非线性光波导的色散方程很困难求解时 ,单纯形方法对于分析非线性光波导的传输特性简单而且有效。
A simplex method for function minimization in optimization theory is implemented to numerical solution of dispersion relation for nonlinear dielectric waveguides.Propagation characteristics of nonlinear dielectric waveguides for two examples are analyzed by using this method.One is an asymmetrical planar layered structure consisting of an optically linear substrate,a Kerr-law core,and a linear cladding (LNL-type);The other is a symmetrical planar layered structure consisting of optically nonlinear Kerr-law substrate and cladding,and a linear core (NLN-type).Numerical results demonstrate that this method is simple and efficient for analyzing characteristics of nonlinear waveguides in cases where numerical solutions of complicated dispersion equations are difficult.
出处
《光电子．激光》
EI
CAS
CSCD
北大核心
2001年第3期271-274,284,共5页
Journal of Optoelectronics·Laser
关键词
单纯形方法
非线性光波导
传输特性
optimization
simplex method
nonlinear waveguide
propagation characteristics
