WS, Michael O’Neil: Mie scattering in layered media

Speaker
Michael O’Neil,New York University

Abstract
The Mie (or Mie-Lorenz-Debye) representation of time-harmonic electromagnetic fields in the exterior of a sphere is a classic result in mathematical physics from the early 1900s. Such a representation gives way to semi-explicit scattering matrices in terms of expansion coefficients, and serves as a gold-standard benchmark for many frequency-domain scattering codes. In this talk it is shown that the formulation can be extended to planarly layered media, and in many cased decoupling the electric and magnetic data and simplifying the resulting formulae and numerics.