A general and simple semianalytical method based on the Galerkin procedure is introduced in this letter for wave propagation problems related to radially inhomogeneous cylindrical dielectric waveguides with arbitrary permittivity profiles. The complicated wave propagation problem in an inhomogeneous waveguide is transformed into a simple problem of solving an equivalent matrix in terms of the Galerkin procedure. Eigenvalue solutions are given for three kinds of representative radially inhomogeneous cylinders to verify the generality of the proposed semianalytical method. The accuracy and the improvement of the convergency are illustrated by comparing the calculated results with those obtained by the analytical method or the matrix numerical method.

中文翻译：

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计算径向非均匀圆柱介质波导传播特性的一般半分析方法

在本文中，针对与具有任意介电常数分布的径向非均匀圆柱介电波导有关的波传播问题，介绍了一种基于Galerkin程序的通用且简单的半解析方法。非均匀波导中复杂的波传播问题转化为根据Galerkin程序求解等效矩阵的简单问题。给出了三种代表性的径向不均匀圆柱体的特征值解，以验证所提出的半解析方法的一般性。通过将计算结果与分析方法或矩阵数值方法获得的结果进行比较，可以说明准确性和收敛性的提高。