多层突变复折射率平板光波导的二级微扰分析

Analysis second order perturbation of step-index multilayer planar waveguides with gain and losses

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 。

Wesolvethecomplexeigenvalueequationsandtakecomplexpropagationconstantsasstan dardvaluestocomparewiththevaluesobtainedbythefirstandthesecondorderperturbationcal culationsforstep indexmultilayerplanarwaveguideswithgainandlosses,thenumericalresults demonstratethattheperturbationmethodgivesvaluesingoodagreementwiththestandardval ues .Theresultsalsoillustratethatthedifferencebetweenthefirstandthesecondorderapproxi mationisverysmallandthefirstapproximationcangiveenoughaccuratevalues.