A Generalized Transition Matrix Model Combined With Discontinuous Galerkin Method for Open Cavities

Abstract

A generalized transition matrix (GTM) model combined with discontinuous Galerkin (DG) method is proposed to analyze the scattering problems of open-ended cavities. A virtual reference surface is put to seal the opening of an open cavity and can separate it into an exterior region and an interior region. By mapping the scattering properties of the internal components onto the reference surface, the information interaction of the GTM model occurs on the reference surface only. With its features of nonconformal meshes at the boundary, the DG method makes the model feasible and accurate regardless of the normal continuity of the surface current at the transitional interface. The GTM model is independent of the exterior structure of the cavity and the external fields. The computational cost can be significantly decreased when the GTM model with the identical inner region is reused. Numerical examples demonstrate good precision and efficiency of the presented method.

Keywords

• Generalized transition matrix (GTM)
• discontinuous Galerkin (DG)
• open cavity
• reference surface