Boosting the Maxwell double layer potential using a right spin factor
Journal article, 2019

We construct new spin singular integral equations for solving scattering problems for Maxwell’s equations, both against perfect conductors and in media with piecewise constant permittivity, permeability and conductivity, improving and extending earlier formulations by the author. These differ in a fundamental way from classical integral equations, which use double layer potential operators, and have the advantage of having a better condition number, in particular in Fredholm sense and on Lipschitz regular interfaces, and do not suffer from spurious resonances. The construction of the integral equations builds on the observation that the double layer potential factorises into a boundary value problem and an ansatz. We modify the ansatz, inspired by a non-selfadjoint local elliptic boundary condition for Dirac equations.

Clifford algebra

Singular integral equation

Maxwell scattering

Author

Andreas Rosén

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Integral Equations and Operator Theory

0378-620X (ISSN) 1420-8989 (eISSN)

Vol. 91 3 29

Subject Categories

Computational Mathematics

Other Physics Topics

Mathematical Analysis

Roots

Basic sciences

DOI

10.1007/s00020-019-2527-1

More information

Latest update

7/16/2019