Computer Science NASC Seminar
Lowfrequency Electromagnetic Scattering in Multiplyconnected Geometries
Michael O'Neil, CIMS
March 23, 2012
10:00AM
Warren Weaver Hall, Room 1302
251 Mercer Street
New York, NY, 100121110
(Directions)
Spring 2012 NASC Seminars Calendar
Synopsis
A classical problem in electromagnetics concerns the solution of the timeharmonic Maxwell equations in the lowfrequency and static regimes. When solving scattering problems from a simply connected body, standard integral equation methods provide sufficient means with which to calculate the scattered field. However, when the scatterer is multiply connected, topology plays a fundamental role and calculating the scattered field is not so straightforward. In fact, for multiply connected conductors, at zero frequency the standard boundary conditions on the tangential components of the incoming magnetic field do not uniquely determine the induced surface current, and thus do not uniquely determine the scattered field. With this in mind, we will describe a new consistency condition (independent of gauge) on the vector potential that overcomes this nonuniqueness and resolves a longstanding difficulty in inverting the Magnetic Field Integral Equation (MFIE). Numerical examples of this stabilizing consistency condition in axisymmetric geometries will be shown.
