{ "id": "2009.09865", "version": "v1", "published": "2020-09-21T13:37:38.000Z", "updated": "2020-09-21T13:37:38.000Z", "title": "Multidomain spectral approach with Sommerfeld condition for the Maxwell equations", "authors": [ "C Klein", "N. Stoilov" ], "categories": [ "math.NA", "cs.NA" ], "abstract": "We present a multidomain spectral approach with an exterior compactified domain for the Maxwell equations for monochromatic fields. The Sommerfeld radiation condition is imposed exactly at infinity being a finite point on the numerical grid. As an example, axisymmetric situations in spherical and prolate spheroidal coordinates are discussed.", "revisions": [ { "version": "v1", "updated": "2020-09-21T13:37:38.000Z" } ], "analyses": { "keywords": [ "multidomain spectral approach", "maxwell equations", "sommerfeld condition", "prolate spheroidal coordinates", "sommerfeld radiation condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }