The calculation of eigenvalues including propagation constants and cutoff wavelengths of longitudinal section electric and magnetic modes of different orders (LSE/sub nm/ and LSM/sub nm/ modes) in homogeneous and inhomogeneous lossless dielectric-slab-loaded rectangular waveguides using a modified variation-iteration method is presented. The initial eigenvalues used in the iteration are selected on the basis of a physical consideration. As shown in numerical examples, this method is very efficient for finding all the eigenvalues of LSE/sub nm/ and LSM/sub nm/ modes by a given free-space propagation constant calculation and a given lower bound of the cutoff wavelength for the cutoff wavelength calculation. In addition, the importance of the adaptive update factor in preventing the possibility of missing existing eigenvalues is also discussed.
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机译：使用修正变量计算均质和非均质无损加载平板矩形波导中不同阶次纵向截面电磁模式的传播常数和截止波长的特征值（LSE / sub nm /和LSM / sub nm /模式）提出了迭代方法。迭代中使用的初始特征值是基于物理考虑选择的。如数值示例所示，该方法对于给定的自由空间传播常数计算和给定的截止波长的下限，对于查找LSE / sub nm /和LSM / sub nm /模式的所有特征值非常有效。波长计算。另外，还讨论了自适应更新因子在防止丢失现有特征值的可能性中的重要性。
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