Application of approximate boundary conditions for calculation of planar 2D periodic nanoplasmon structures

Abstract

A rigorous and an approximate method are applied to solve the problem of diffraction of electromagnetic waves of the optical range from a 2D grating made of rectangular metal strips. The rigorous method is based on the numerical-analytical method of the solution of a volume integro-differential equation (VIDE). In the second method, the approximate boundary conditions (ABCs) for a thin dielectric layer are used. The correctness of the ABC method applied for determining the basic physical regularities is justified. More accurate ABCs and the notion of effective dimensions of strips are introduced.