Title :
A pole-free modal field-matching technique for eigenvalue problems in electromagnetics
Author :
Amari, Smain ; Bornemann, Jens
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
fDate :
9/1/1997 12:00:00 AM
Abstract :
A pole-free formulation of the modal field-matching technique (MFMT) as applied to eigenvalue problems in electromagnetics is presented in this paper. The poles in the determinantal equation are systematically eliminated, without requiring previous knowledge of their locations or nature, resulting in well-behaved determinants. The minimum singular value in a singular-value decomposition of the pole-free matrix exhibits much wider dips than that obtained from the standard MFMT. The pole-free formulation is applied to determine the cutoff wavenumbers of a ridged waveguide to demonstrate its validity and efficiency
Keywords :
eigenvalues and eigenfunctions; mode matching; ridge waveguides; singular value decomposition; waveguide theory; cutoff wavenumbers; determinantal equation; eigenvalue problems; electromagnetics; minimum singular value; pole-free modal field-matching technique; ridged waveguide; Central Processing Unit; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic waveguides; Equations; Matrix decomposition; Mode matching methods; Physics; Poles and zeros; Transmission line matrix methods;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
