A Mortar-element method for the analysis of periodic structures

In this work a mortar-element method aimed at analyzing 2D periodic structures is introduced. The mathematical formulation of a single-domain problem involving periodicity conditions is derived; then, the multi-domain feature of this numerical scheme is exploited, in order to separate regions with media with different refraction indices. Finally, a comparison with results obtained by mode-matching is performed. © 2013 IEEE.