Title :
A study of dielectric resonators based on two-dimensional fast wavelet algorithm
Author :
Sabet, Kazem F. ; Katehi, Linda P B
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
1/1/1996 12:00:00 AM
Abstract :
This letter reports the implementation of orthonormal wavelets for the moment method characterization of three-dimensional dielectric structures. The formulation is based on a 3-D volume integral equation, which is solved numerically using a 2-D multiresolution analysis in conjunction with a sub-domain pulse basis. The use of multiresolution expansions leads to highly sparse linear systems that can be solved very efficiently using the bi-conjugate gradient method. To speed up the numerical evaluation of moment integrals, the fast wavelet algorithm (FWA) has been employed
Keywords :
conjugate gradient methods; dielectric resonators; integral equations; method of moments; sparse matrices; wavelet transforms; 2D multiresolution analysis; 3D volume integral equation; biconjugate gradient method; dielectric resonators; moment method characterization; numerical solution; orthonormal wavelets; rectangular resonator; sparse linear systems; subdomain pulse basis; three-dimensional dielectric structures; two-dimensional fast wavelet algorithm; Dielectric substrates; Geometry; Integral equations; Linear systems; Microwave theory and techniques; Moment methods; Multiresolution analysis; Polarization; Sparse matrices; Transmission line matrix methods;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
