CAJ | 학술논문

由微扰理论求得了含增益和损耗的多层突变复折射率平板光波导传播常数的一级和二级近似结果，同时直接求得了其复本征方程的解，并将两者进行了分析比较.结果表明微扰法给出了与精确值符合相当好的数值结果.分析结果还表明微扰法的二级近似结果对一级近似结果的修正很小，一级近似已可以给出足够精确的结果.
유미우이론구득료함증익화손모적다층돌변복절사솔평판광파도전파상수적일급화이급근사결과，동시직접구득료기복본정방정적해，병장량자진행료분석비교.결과표명미우법급출료여정학치부합상당호적수치결과.분석결과환표명미우법적이급근사결과대일급근사결과적수정흔소，일급근사이가이급출족구정학적결과.
We solve the complex eigenvalue equations and take complexpropagation constants as standard values to compare with the values obtained by the first and the second order perturbation calculations for step-index multilayer planar waveguides with gain and losses,the numerical results demonstrate that the perturbation me thod gives values in good agreement with the standard values.The results also illustrate that the difference between the first and the second order approximati on is very small and the first approximation can give enough accurate values