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Potential Integral Equations in Electromagnetics

2017/04/30 by Jie Li, Li, Jie, Xin Fu +3 · 1 citation
Engineering · Physics and Astronomy · #45Axx #45Bxx #45Exx #45Fxx #65Rxx #Computational Physics (physics.comp-ph) #Electromagnetic Compatibility and Measurements #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #G.1.9 #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1705.00265

openalex publication_date 2017/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, a new integral equation (IE) based formulation is proposed using vector and scalar potentials for electromagnetic scattering. The new integral equations feature decoupled vector and scalar potentials that satisfy Lorentz gauge. The decoupling of the two potentials allows low-frequency stability. The formulation presented also results in Fredholm integral equations of second kind. The spectral properties of second kind integral operators leads to a well-conditioned system.

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