基于边界元法的二维电磁散射分析

IF 1.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Frontiers in Physics Pub Date : 2024-07-24 DOI:10.3389/fphy.2024.1424995

Qian Hu, Chengmiao Liu

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引用次数: 0

摘要

本文提出了一种有效的电磁散射形状敏感性分析公式。首先，基于边界元法，将传统电磁散射公式与非均匀有理 B 样条曲线（NURBS）相结合，推导出新的电磁散射公式，并用 NURBS 表示几何模型，保证了几何精度，避免了优化过程中繁重的网格划分，实现了高保真数值解的快速计算。其次，通过推导灵敏度变量，得到形状优化的电磁散射方程，为形状优化提供可靠的数据参考。最后，通过实例证明了算法的有效性和准确性，并给出了一些实例的灵敏度数据。

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Two-dimensional electromagnetic scattering analysis based on the boundary element method

An effective formula for the shape-sensitivity analysis of electromagnetic scattering is presented in this paper. First, based on the boundary element method, a new electromagnetic scattering formula is derived by combining the traditional electromagnetic scattering formula with the non-uniform rational B-spline (NURBS) curve, and the geometric model is represented by NURBS, which ensures the geometric accuracy, avoids the heavy grid division in the optimization process, and realizes the fast calculation of high-fidelity numerical solutions. Second, by deducing the sensitivity variables, the electromagnetic scattering equation of shape optimization is obtained, which can provide reliable data references for shape optimization. Finally, the effectiveness and accuracy of the algorithm are demonstrated by an example, and the sensitivity data of some examples are given.

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来源期刊

Frontiers in Physics Mathematics-Mathematical Physics

CiteScore

4.50

自引率

6.50%

发文量

1215

审稿时长

12 weeks

期刊介绍： Frontiers in Physics publishes rigorously peer-reviewed research across the entire field, from experimental, to computational and theoretical physics. This multidisciplinary open-access journal is at the forefront of disseminating and communicating scientific knowledge and impactful discoveries to researchers, academics, engineers and the public worldwide.