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Green's Functions in Lossy Layered Media: Integration Along the Imaginary Axis and Asymptotic Behavior

机译:格林在有损分层介质中的功能:沿假想轴的积分和渐近行为

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摘要

This paper presents an efficient technique for eval-uating Green's functions associated to layered media, when for-mulated as Sommerfeld integrals in the space domain. The keystep in the formulation is that Sommerfeld integrals are computedchoosing a suitable integration path which is closed through theimaginary axis of the complex spectral plane. It is shown that withthis original choice of the integration contour, the numerical effortusually involved in the evaluation of Sommerfeld integrals can begreatly reduced, specially when large source-observer distances areinvolved. One asset of this technique is that it can be easily incorpo-rated into integral equation based CAD packages for the efficientanalysis of complex printed microwave circuit and antennas. In ad-dition, the theoretical developments needed to set up the numericalalgorithm throw a new light on the asymptotic behavior of the lay-ered media Green's functions for large source-observer distances.
机译:本文提出了一种有效的技术,用于评估与分层介质相关的格林函数,当格林函数在空间域中被作为Sommerfeld积分进行模拟时。公式中的关键步骤是计算Sommerfeld积分,选择一条合适的积分路径,该路径通过复谱平面的虚轴闭合。结果表明,通过这种最初选择的积分轮廓,可以大大减少通常在Sommerfeld积分评估中涉及的数值,特别是当涉及较大的源到观测器距离时。该技术的一个优点是可以轻松地将其集成到基于积分方程的CAD软件包中,以高效地分析复杂的印刷微波电路和天线。此外,建立数值算法所需的理论发展为较大的源-观察者距离对层状介质格林函数的渐近行为提供了新的认识。

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