Analysis of time-domain modes in FDTD-diakoptics
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摘要: 时域模函数的选取是使用Diakoptics技术分析微波结构的一个重要步骤.二维贝塞尔函数系作为Diakoptics技术应用于开放式微波结构中的时域模函数是适宜的.将一维傅里叶-贝塞尔函数展开定理扩展到二维,对二维傅里叶-贝塞尔函数系的完备正交性进行了分析证明,从而阐述了贝塞尔函数系作为时域模函数的有效性.最后比较采用二维傅立叶-贝塞尔函数系做模函数的FDTD-Diakoptics计算结果与传统FDTD计算结果,二者吻合良好.Abstract: It is very important to choose proper time domain modes when microwave structures were analyzed by time domain Diakoptics. Two dimensional Bessel functions is proper time domain modes in time domain Diakoptics. One dimensional Bessel functions expand theorem was extended to two dimensional, the completeness and orthotropic of two dimensional Bessel functions were proved. Based on analysis of electromagnetic field distributions for such open microwave structures as coplanar strips, the zero and one order Bessel functions were proved to be the proper time domain mode functions. The results of this method and the finite difference time domain (FDTD) were compared and there are good sameness between them.
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Key words:
- microwave circuits /
- Bessel functions /
- finite difference methods /
- time-domain modes
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