手性环境下二维电磁障碍物逆散射的线性采样方法

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI:10.1007/s10255-024-1158-8

Xia Deng, Jun Guo

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引用次数: 0

摘要

本文研究了均匀手性环境下完美导体的时谐电磁散射问题。对于三维圆柱结构，可以将其简化为二维模型问题，通过耦合边界条件用两个标量亥姆霍兹方程进行建模。利用边界积分方程方法证明了该问题弱解的唯一存在性。然后应用线性采样方法从波场的远场图中恢复散射体。算例验证了所提方法的正确性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Linear Sampling Method for Two-dimensional Electromagnetic Inverse Scattering by Obstacle in Chiral Environment

In this paper, we consider the time-harmonic electromagnetic scattering by a perfect conductor in a homogeneous chiral environment. For three-dimensional cylindrical structures, it can be simplified as a two-dimensional model problem, which can be modeled by two scalar Helmholtz equations via coupled boundary conditions. The boundary integral equation method is used to prove the unique existence of the weak solution to this problem. Then we apply the linear sampling method to recover the scatterer from one of the far field pattern of wave fields. Some numerical examples are shown to verify the correctness and effectiveness of the proposed method.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.