CAJ | 학술논문

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(LNL)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(NLN)。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。
간요개소료우화이론중적단순형방법，병차응용도구해개질비선성광파도적색산방정。문중계산료비선성광파도전수특성적2개실례，1)비대칭3층평판파도，유선성츤저、극이형심구화선성포층(LNL)조성；2)대칭3층평판파도，유극이형포층、츤저급선성심구조성(NLN)。수치결과표명：비선성광파도적색산방정흔곤난구해시，단순형방법대우분석비선성광파도적전수특성간단이차유효。
A simplex method for function minimization in optimization theoryis 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.