层状介质中格林函数构造中Sommerfeld积分的一种有效数值计算方法

IF 1.8 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Ozlem Ozgun;Raj Mittra;Mustafa Kuzuoglu
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引用次数: 0

摘要

本文提出了一种在谱域中评估Sommerfeld积分的方法,其被积函数在高频下(例如在毫米波区域)通常表现出振荡和缓慢衰减的行为。众所周知,这些积分出现在层状介质的并矢格林函数的表示中,这些格林函数的有效计算是为毫米波范围内的5G应用设计的贴片天线和印刷电路的快速CEM建模的关键。该方法的基本概念是将格林函数的谱域表示划分为多个域,并用几个指数表示每个域中被积函数的包络,以便可以以数值稳定的方式非常有效和准确地分析评估这些域中的积分。此外,本文还提出了一种新的插值策略,以减少核包含上述格林函数的积分方程MoM解中的矩阵填充时间。通过几个示例说明了使用这些方法实现的性能增强。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An Efficient Numerical Approach for Evaluating Sommerfeld Integrals Arising in the Construction of Green's Functions for Layered Media
This paper presents an approach for evaluating the Sommerfeld integrals in the spectral domain, whose integrands typically show an oscillatory and slowly decaying behavior at high frequencies, e.g., in the mm-wave regime. It is well known that these integrals arise in the representations of the dyadic Green's functions of layered media and efficient computation of these Green's functions is key to rapid CEM modeling of patch antennas and printed circuits designed for 5G applications in the mm-wave range. The underlying concept of the approach is to partition the spectral domain representation of a Green's function into multiple domains and to represent the envelope of the integrand in each domain with a few exponentials such that the integrals in these domains can be evaluated analytically very efficiently and accurately in a numerically stable manner. Additionally, a new interpolation strategy is proposed in this work to decrease the matrix fill time in the MoM solution of the integral equations whose kernels contain Green's functions mentioned above. The performance enhancement realized by using the approaches is demonstrated through several illustrative examples.
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CiteScore
4.30
自引率
0.00%
发文量
27
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