附录:圆柱型同轴波导本征特性的研究

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引用次数: 0

摘要

采用有限元法研究了包覆圆柱波导的介质包层的物理性质。这些性质用横向电场和磁场模式来描述。为了得到这些结果,必须求解基于亥姆霍兹矢量方程的本征矩阵方程。但是这个方程的大小太大了,无法用个人电脑推导出结果。因此,采用Arnoldi算法对特征方程进行压缩,然后采用Krylov-Schur迭代法推导结果。将该方程转化为舒尔形式的相似变换矩阵包含了期望的电场和电势的特征模对。结果用电场、三维电势和电势轮廓图来表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ADDENDUM TO: A Study on the Eigen Properties of the Coaxial Waveguide of Cylindrical Form
The physical properties of the dielectric cladding wrapping the cylindrical waveguide were investigated by finite element method. These properties are described by transverse electric and magnetic field modes. To obtain these results, the eigen matrix equation basing on the Helmholtz vector equation must be solved. But the size of this equation is too large to derive the results using a personal computer. Therefore, the eigen equation is compressed using the Arnoldi algorithm and after that the results are derived using the Krylov-Schur iteration method. The similarity transformation matrix to make this equation into the Schure form contains the desired eigenmode pairs of electric field and electric potential. As results, these are schematically represented with the electric field, 3-dimensional electric potential and electric potential contour.
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