【摘要】 本文研究四阶多项式折射率剖面介质中的光导波,运用摄动法严密求出这类无限介质中矢量波方程的解。对于平方律介质的特例,本文同Yamada论文的结果完全一致。对于轴对称模,本文所得本征值的第一级近似同我们用标量波方程所得的结果相同。但是,本文同Gambling论文的结果却不一致,我们认为其原因在于论文所用的基本场方程中含有错误。更多还原

【Abstract】 Optical guided waves in a medium with 4th—order polinomial index profile are treated.The vector wave equation in such a medium of infinite extent is solved strictly by the perturbation method.For the particular case of square—law medium,the results of the present paper completely coincide with those of Yamada’s paper.For the axisymmetric modes, the first approximation of the eigen—value in the present paper is just the same one as that in our another two papers utilizing the scalar wave equation.However, the perturbation approximation results in Gambling’s paper are in disagreement with ours.This is because of the errors in their expression of the field equation.更多还原