The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering

Published

May 28, 2015

Author(s)

Felipe Vico, Leslie Greengard, Miguel Ferrando, Zydrunas Gimbutas

Abstract

We present a new formulation for the problem of electromagnetic scattering from perfect electric conductors. While our representation for the electric and magnetic fields is based on the standard vector and scalar potentials A, φ in the Lorenz gauge, we establish boundary conditions on the potentials themselves, rather than on the field quantities. This permits the development of a well-conditioned second kind Fredholm integral equation which has no spurious resonances, avoids low frequency breakdown, and is insensitive to the genus of the scatterer. The equations for the vector and scalar potentials are decoupled. That is, the unknown scalar potential defining the scattered field, φ^scat, is determined entirely by the incident scalar potential φ^inc. Likewise, the unknown vector potential defining the scattered field, A^scat, is determined entirely by the incident vector potential A^inc. This decoupled formulation is valid not only in the static limit but for arbitrary ω≥0.

Citation

IEEE Transactions on Antennas and Propagation

Pub Type

Journals

Download Paper

https://doi.org/10.1002/cpa.21585

Local Download

Keywords

Charge-current formulations, electromagnetic theory, electromagnetic (EM) scattering, Maxwell equations, low-frequency breakdown.

Citation

Vico, F. , Greengard, L. , Ferrando, M. and Gimbutas, Z. (2015), The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering, IEEE Transactions on Antennas and Propagation, [online], https://doi.org/10.1002/cpa.21585, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=915247 (Accessed October 8, 2025)