Iterative algorithms for multiple electromagnetic scattering in three dimensions

We describe and compare two iterative fully discrete high-order algorithms for simulation of electromagnetic scattering by multiple perfectly conducting three dimensional particles. Our hybrid surface integral algorithms use a combination of high-order approximations of the tangential surface current on each particle and iterative schemes to simulate the multiple scattering problem by solving several single particle scattering problems with each iteration efficiently taking into account reflected waves from all scatterers in the configuration.