Modeling and Analysis of Transients in Periodic Structures: Fully Absorbing Boundaries for 2-D Open Problems

Abstract

The chapter is concentrated on the description of the construction and implementation of new rigorous methods and techniques oriented to the solution of open initial boundary value problems of the electromagnetic theory of gratings. The formulation and incorporation of explicit absorbing conditions into conventional numerical routines of finite-difference algorithms constitute the basis of the method. An essential point is that such conditions restrict in a correct and efficient way the computational domain without introducing any distortion into the nature of the scattering process, simulated by means of the mathematics.