微波波导偏振器的FDTD和FEM仿真

S. Piltyay, A. Bulashenko, Yevhenii Herhil, O. Bulashenko
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引用次数: 32

摘要

本文介绍了用于微波器件计算的现代有效数值技术的比较结果。时域有限差分法和有限元法是目前最常用的数值方法,可用于各种天线和有界结构的电磁场模拟。本文讨论了这些数值方法的现代修正及其优缺点。此外,我们还比较了时域有限差分法和有限元法在计算微波波导虹膜偏振及匹配特性方面的应用。通过这个例子,我们发现两种计算方法计算的微波波导器件匹配特性的收敛速度都很快。另一方面,相位和极化特性的计算精度对用于划分器件结构体积的网格单元数非常敏感。研究发现,如果在频域用有限元法计算偏光镜的轴比和交叉极化识别,要求精度为0.5 dB,则每个结构体积必须使用10万个以上的四面体网格单元。如果采用时域有限差分法计算轴向比和交叉极化分辨精度为0.5 dB,则需要在每个结构体积上使用80万个以上的六面体网格单元。研究发现,有限元法在频域的计算时间比时域有限差分法所需的计算时间少2倍以上。此外,有限元法所对应的四面体网格单元数比时域有限差分法所对应的六面体网格单元数少10倍。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
FDTD and FEM Simulation of Microwave Waveguide Polarizers
This paper presents results of comparison of modern effective numerical techniques for the calculation of microwave devices. Nowadays finite difference time domain method and finite elements method are the most frequently used numerical techniques, which are applied for the simulation of electromagnetic fields in various antennas and bounded structures. Modern modifications of these numerical methods and their pro and contras are considered in the paper. Besides, we have compared finite difference time domain technique and finite elements method in the case of calculation of polarization and matching characteristics of microwave waveguide iris polarizers. Using this example we have found that the convergence of the calculated matching characteristics of microwave waveguide devices is fast for both considered numerical techniques. On the other hand, the accuracy of calculation of the phase and polarization characteristics is very sensitive to the number of mesh cells, at which the volume of device structure is divided. It has been found that more than 100 000 tetrahedral mesh cells per structure volume must be used, if calculation of the polarizer’s axial ratio and crosspolar discrimination is performed by finite elements method in the frequency domain with required accuracies of 0.5 dB. If axial ratio and crosspolar discrimination must be calculated with the accuracies of 0.5 dB by the finite difference time domain method, then the utilization of more than 800 000 hexahedral mesh cells per structure volume is required. In has been found that the computation time of the finite elements method in the frequency domain is more than 2 times less than the same time required by finite difference time domain method. Besides, the corresponding number of tetrahedral mesh cells in finite elements method is 10 times less, than the number of hexahedral mesh cells in finite difference time domain method.
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