Transfer-matrix method for second-order nonlinear processes with realistic beams

Abstract

Accurate and fast modeling of electric fields in layered structures have a great scientific and practical value. Prevalent method for that is transfer-matrix method. However, transfer matrix method is limited to infinite plane wave calculations, which can become a limiting factor if a very narrow resonances, e.g. long range surface plasmon polaritons, are present in the structure. In this paper we extend the functionality of standard and nonlinear transfer-matrix method to include beams with arbitrary profile and propose applications for the method.