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首页> 外文期刊>Applied Computational Electromagnetics Society journal >A Finite Difference Frequency Domain Based Full Vectorial Transverse Modesolver for Anisotropic Waveguides with Arbitrary Permittivity and Permeability Tensors
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A Finite Difference Frequency Domain Based Full Vectorial Transverse Modesolver for Anisotropic Waveguides with Arbitrary Permittivity and Permeability Tensors

机译：具有任意介电常数和磁导率张量的各向异性波导的基于有限差分频域的全矢量横向模式求解器

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摘要

In this work a Yee's mesh based full vectorial transverse finite difference frequency (FDFD) modesolver has been derived from discretized Maxwell's equations in Matrix form for anisotropic waveguides with arbitrary permittivity and permeability tensors. This work incorporates arbitrary permittivity and permeability simultaneously into matrix equations of Yee's mesh based modesolver, which previous works have not done. For benchmarking the Python implementation of these matrix equations, cross section of Yittrium Iron Garnate (YIG) channel waveguide has been taken as first one of the three test structures. Numerical result from this work has been compared with that from previous work on YIG channel waveguide and is found to be in good agreement. Further, for benchmarking the effective index values of waveguides having both permittivity and permeability anisotropic simultaneously, a finite element based commercial software (COMSOL) has been used, the values of effective indexes from solver presented in this work and commercial software have been compared, and are also found to be in good agreement.
机译：在这项工作中，从具有任意介电常数和磁导率张量的各向异性波导的矩阵形式的离散麦克斯韦方程导出了基于Yee网格的全矢量横向有限差分频率（FDFD）模式求解器。这项工作同时将任意的介电常数和磁导率合并到Yee基于网格的模式求解器的矩阵方程中，而以前的工作尚未完成。为了对这些矩阵方程的Python实现进行基准测试，已将钇钇铁（YIG）通道波导的横截面作为这三个测试结构的第一个。这项工作的数值结果已经与以前关于YIG通道波导的结果进行了比较，并且发现有很好的一致性。此外，为了同时测试介电常数和磁导率各向异性的波导的有效折射率值，使用了基于有限元的商用软件（COMSOL），比较了本工作中介绍的求解器和商用软件的有效折射率值，并且也被认为是非常一致的。

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