Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II

作者:Epstein Charles L*; Greengard Leslie; O'Neil Michael
来源:Communications on Pure and Applied Mathematics, 2013, 66(5): 753-789.
DOI:10.1002/cpa.21420

摘要

In this paper, we develop a new integral representation for the solution of the time harmonic Maxwell equations in media with piecewise constant dielectric permittivity and magnetic permeability in R-3. This representation leads to a coupled system of Fredholm integral equations of the second kind for four scalar densities supported on the material interface. Like the classical Muller equation, it has no spurious resonances. Unlike the classical approach, however, the representation does not suffer from low-frequency breakdown. We illustrate the performance of the method with numerical examples.

  • 出版日期2013-5