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前向散射双基地雷达截面(PEC球体):Mie理论分析

Forward-Scatter Bistatic RCS of a PEC Sphere: A Mie-Theory Analysis

Khalid El-Darymli, Christoph H. Gierull

arXiv 2609.09390首次发表:更新:

发表机构

Department of National Defence, Defence Research and Development Canada(加拿大国防部国防研究与开发局)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文利用Lorenz-Mie理论严格分析PEC球体的前向散射双基地RCS,量化其对双基地角偏离的敏感性并分解极化通道,建立物理透明的基准。

AI 中文摘要

前向散射雷达(FSR)代表了一种极端的双基地配置,其中发射机-目标-接收机几何结构接近共线,导致双基地角接近180°。在这种机制下,衍射主导的散射可以产生显著超过单基地对应值的双基地雷达截面(RCS),这一特性支撑了前向散射和被动双基地雷达概念。本文利用精确的Lorenz-Mie理论,对完美导电(PEC)球体的双基地RCS进行了严格的电磁学研究。分析解决了两个实际目标:(i)量化前向散射增强对偏离理想180°双基地角的敏感性,作为电尺寸的函数;(ii)将前向散射响应分解为典型的Lorenz-Mie极化通道S1和S2,从而建立极化分辨基准。然而,结果由无量纲尺寸参数ka控制,因此可直接推广到其他频率和双基地配置。通过将全波模拟结果明确地与基于Babinet的前向散射缩放和高频极限下的光学定理解释联系起来,本文为前向散射和被动双基地雷达分析提供了物理透明的基准。

英文摘要

Forward-scatter radar (FSR) represents an extreme bistatic configuration in which the transmitter--target--receiver geometry approaches collinearity, yielding a bistatic angle near $180^\circ$. In this regime, diffraction-dominated scattering can produce bistatic radar cross sections (RCS) that substantially exceed their monostatic counterparts, a property that underpins FS and passive bistatic radar concepts. This paper presents a rigorous electromagnetic study of the bistatic RCS of a perfectly electrically conducting (PEC) sphere using exact Lorenz--Mie theory. The analysis addresses two practical objectives: (i) quantifying the sensitivity of FS enhancement to deviations from the ideal $180^\circ$ bistatic angle as a function of electrical size, and (ii) decomposing the FS response into the canonical Lorenz--Mie polarization channels $S_1$ and $S_2$, thereby establishing a polarization-resolved benchmark. The results, however, are governed by the dimensionless size parameter $ka$ and therefore generalize directly to other frequencies and bistatic configurations. By explicitly relating full-wave simulation results to Babinet-based FS scaling and optical-theorem interpretations in the high-frequency limit, the paper provides a physically transparent benchmark for FS and passive bistatic radar analysis.

论文原文

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