Title: Dirac Integral equations, plasmonics and eddy currents
Abstract: A well-known problem in Maxwell scattering is how to handle the divergence-free constraints on the fields. We present a recently developed integral equation reformulation of the Maxwell transmission problem, which solves this problem by embedding Maxwell’s equations in a more stable 8/8 Dirac system.
In the talk we discuss the Dirac integral equation obtained from a Cauchy representation of the fields, and how to optimize its numerical performance by tuning the 12 free parameters. We also demonstrate numerical results: an efficient solver for dielectric, plasmonic, and eddy current scattering without any false eigenwavenumbers or low-frequency breakdown.
This is joint work with Johan Helsing and Anders Karlsson.