Abstract:
Microstrip StmCNrCS have bcen shldied extensively using various types of full wave
analysis techniques. However, these techniques are having difficulties because they
usually involve the solution ofa very large system of linear equations. In this approach, a
symmetrical form of electric-field spatial-domain Green's function [I] different from [Z]
and 131 is applied. Funhcr, the numerical solution af Maxwell's equalions at low
frequencies is plagued with numerous problems. Because of the discrepant frequency
dependence of the solenoidal and irrotational components of the current when the
frequcncy tends to zero, a working numerical method has to include this Helmholtz
decomposition and ascribe the requisite frequency dependencies lo the solenoidal and
irrotational camponents of the current. This decomposition is achieved by selecting the
loop-tree basis [4], IS]. The use of the loop-tree basis, followed by frequency
normalization, solves the problem of singular malices at low frequencies. However, if an
iterative solver is used, the iteration count is usually very large and may even diverge for
some problems. To overcome this problem, a method of transformation of the matrix
equations [6] is also applied