Modeling and analysis of transients in periodic gratings I Fully absorbing boundaries for 2-D open problems

Abstract

Frequency domain methods allow us to simulate and study efficiently only some of the periodic structures that are widespread in optics and spectroscopy. Time domain approaches could be more effective, but their deployment is held back by a number of unsolved problems associated mainly with a proper truncation of the computation space in the so-called open problems. This paper is devoted to analysis of these problems in the 2-D case (infinite one-dimensionally periodic semitransparent and reflecting gratings in the field of pulsed E- and H-polarized waves).