扭转矩形波导主模传播常数的变分解

A VARIATIONAL SOLUTION OF THE PROPAGATION COEFFICIENT OF THE DOMINANT MODE IN TWISTED RECTANGULAR WAVEGUIDE

本文应用非标准本征值问題的变分方法求解了扭转矩形波导的传播常数,并同传统的微扰解做了比较。结果表明,变分解既没有不易处理的无穷级数,且在二阶近似时,其精度超过了微扰解的精度,在扭转角周期较大时则更显优越。

A variational expression of the propagation coefficient of the dominant mode in twisted rectangular waveguide is derived on the basis of the theory of the nonstandard eigenvalue problems, and the numerical results are compared with that of perturbation approach. It illustrates that there is no infinite series in the variational expression, and the variational results are more accurate than the perturbational ones, especially when the twisted angular period becomes bigger.