2017/07/31 by Charles L. Epstein, Leslie Greengard, Epstein, Charles L. +3
Engineering · Physics and Astronomy · #Electromagnetic Compatibility and Measurements #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1708.00056
openalex publication_date 2017/07/31 · openalex created_date 2022/10/04 · openalex updated_date 2026/08/01
The generalized Debye source representation of time-harmonic electromagnetic\nfields yields well-conditioned second-kind integral equations for a variety of\nboundary value problems, including the problems of scattering from perfect\nelectric conductors and dielectric bodies. Furthermore, these representations,\nand resulting integral equations, are fully stable in the static limit as\n\ω \→ 0 in multiply connected geometries. In this paper, we present the\nfirst high-order accurate solver based on this representation for bodies of\nrevolution. The resulting solver uses a Nystr "om discretization of a\none-dimensional generating curve and high-order integral equation methods for\napplying and inverting surface differentials. The accuracy and speed of the\nsolvers are demonstrated in several numerical examples.\n