Analytical and Equivalent Circuit Models to Elucidate Power Balance in Scattering Problems

Analytical and Equivalent Circuit Models to Elucidate Power Balance in Scattering Problems
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用于阐明散射问题中的功率平衡的解析和等效电路模型

DOI:
10.1109/tap.2013.2242033
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发表时间:
2013
影响因子:
5.7
通讯作者:
R. Ziolkowski
R. Ziolkowski
中科院分区:
计算机科学2区
文献类型:
--
作者:
I. Liberal;R. Ziolkowski

文献摘要

被引文献

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分析和等效电路模型来阐明在散射过程中的功率平衡。具体而言,制定相关的最大提取,散射,吸收和无功功率的封闭形式的表达式。然后,电路模型有助于以直接的方式表征这些功率,以提供对这组功率之间的相互关系的物理见解,从而指导其基本极限的解决方案。分析表明,在无损情况下,吸收功率不能超过从入射场提取的功率(提取功率)的25%,并且有助于摆脱散射功率和吸收功率相等或显著不同的条件。以一个在谐振态和隐身态下均受平面波照射的涂层球为例进行了数值计算。虽然分析和电路模型是严格推导出的球形粒子,其外推到任意散射体也进行了讨论。
Analytical and equivalent circuit models are presented to elucidate the balance of powers in scattering processes. Specifically, closed-form expressions of the associated maximal extracted, scattered, absorbed and reactive powers are formulated. The circuit model then helps to characterize in a straightforward manner these powers, to provide physical insights into the inter-relationships among this set, and thus guides the resolution of their fundamental limits. The analysis demonstrates that the absorbed power can not exceed 25% of the power extracted from the incident field (extracted power) for the lossless case and helps extricate the conditions for which the scattered and absorbed powers are equal or significantly different. A coated sphere illuminated by a plane wave under both resonant and cloaked states is selected as an illustrative example. Although the analysis and circuit models are rigorously derived for spheroidal particles, their extrapolation to arbitrary scatterers is also discussed.