VECTORIAL MODEL OF A WAVEGUIDE WITH REENTRANT EDGES

 

Alexander N. Bogolubov, Alexander I. Erokhin, Ilya E. Mogilevsky

Faculty of Physics M.V.Lomonosov Moscow State University, department of mathematics

Received February 14, 2012

 

Abstract. Vectorial model of an infinite waveguide with reentrant edges in its finite region is considered in present work. Approximate solution is obtained by incomplited Galerkin’s method in which vectorial basis is constructed with Laplacian eigen functions of cross-section.  Existence and uniqueness of the approximate solution and its convergence to the exact solution are proved.

Keywords: waveguide, reentrant edges, reentrant corners, projective methods.