Analysis of an algorithm for computing electromagnetic bloch modes using nedelec spaces

Abstract

The problem of approximating the band structure of electromagnetic Bloch modes in a three-dimensional periodic medium is studied. We analyze a mixed finite element approximation technique based on a variation of Nedelec edge elements. The usual conditions for convergence of the static problem are first verified. Subsequently, convergence of approximate eigenvalues to those of the continuous system is proved. © 2001, Institute of Mathematics, NAS of Belarus. All rights reserved.