Dimensionality reduction for 3D vectorial optical scattering problems

Abstract

The spatial dimensionality of vectorial 3D frequency domain optical scattering problems is reduced by means of a global expansion of the field in one direction in slab modes of some reference slice(s). A variational formalism yields the equations in the other two directions. These coupled partial differential equations are solved using a Finite Element Method with modified Transparent Influx Boundary Conditions with PMLs