L. Nuno et al., ANALYSIS OF GENERAL LOSSY INHOMOGENEOUS AND ANISOTROPIC WAVE-GUIDES BY THE FINITE-ELEMENT METHOD (FEM) USING EDGE ELEMENTS, IEEE transactions on microwave theory and techniques, 45(3), 1997, pp. 446-449
Several finite element formulations based on edge elements have been d
eveloped in recent years, avoiding the appearance of spurious modes in
waveguides, However, no formulation of this kind dealing with general
lossy inhomogeneous and anisotropic waveguides has been found in the
Literature. In this paper, a new finite element scheme for the most ge
neral linear waveguides has been derived from vector wave equations vi
a a Galerkin procedure. In this formulation, triangular and quadrilate
ral edge elements have been used in order to avoid the spurious soluti
ons, Furthermore, the final eigensystem involves only very sparse matr
ices, thus allowing important savings in time and memory.