Analysis and computation for the scattering problem of electromagnetic waves in chiral media

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED
Gang Bao, Lei Zhang
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引用次数: 0

Abstract

This paper considers an obstacle scattering problem in a chiral medium under circularly polarized oblique plane wave incidence, which can be represented as a combination of a left-circularly polarized plane wave and a right-circularly polarized one. We apply a reduced model problem with coupled oblique derivative boundary conditions, describing the cross-coupling effect of electric and magnetic fields. A novel boundary integral equation is constructed by introducing single-layer potential operators and the corresponding normal and tangential derivative operators. The corresponding properties are obtained by splitting techniques to overcome the singularity of integral operators. A numerical method for solving the boundary integral equation is developed, whose convergence is proved. Numerical results are presented to show the performance of the proposed method.
手性介质中电磁波散射问题的分析与计算
本文考虑了在圆极化斜平面波入射下手性介质中的障碍物散射问题,该问题可表示为左圆极化平面波和右圆极化平面波的组合。我们应用了带有耦合斜导数边界条件的简化模型问题,描述了电场和磁场的交叉耦合效应。通过引入单层势算子以及相应的法向和切向导数算子,构建了一个新的边界积分方程。通过分割技术克服积分算子的奇异性,从而获得相应的性质。建立了求解边界积分方程的数值方法,并证明了该方法的收敛性。数值结果显示了所提方法的性能。
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来源期刊
CiteScore
1.70
自引率
10.00%
发文量
59
审稿时长
6 months
期刊介绍: Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.
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