The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering
Felipe Vico, Leslie Greengard, Miguel Ferrando, Zydrunas Gimbutas
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, φscat, is determined entirely by the incident scalar potential φinc. Likewise, the unknown vector potential defining the scattered field, Ascat, is determined entirely by the incident vector potential Ainc. This decoupled formulation is valid not only in the static limit but for arbitrary ω≥0.
, Greengard, L.
, Ferrando, M.
and Gimbutas, Z.
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 December 3, 2021)