posted on 2015-10-21, 00:00authored byVenu Madhav Tammali
The accurate simulation of linear electromagnetic scattering by diffraction gratings is
crucial in several technologies of scientific interest. In this contribution we describe a High
Order Perturbation of Surfaces (HOPS) algorithm built upon a class of Integral Equations due to the analysis of Fokas and collaborators, now widely known as the Unified Transform
Method. The unknowns in this formalism are boundary quantities (the electric field and
current at the layer interface) which are an order of magnitude fewer than standard volumetric
approaches such as Finite Differences and Finite Elements. Our numerical experiments
show the efficiency, fidelity, and high order accuracy of our algorithm.