Multivoice subsectional wavelets creating sparse matrices in the moment method applied to coupled microstrips.

Abstract In this paper a new multivoice wavelet based on the Haar wavelet and on Alperts wavelet is introduced to discretise a one-dimensional linear integral equation. It is shown how this wavelet leads to a sparse system matrix when applying Galerkin's method. The eigenmode analysis of coupled microstrips is used to illustrate our approach. The influence of the sparsity of the system matrix on the accuracy of the values obtained for the propagation factors and impedances of the odd and even mode of the strip is examined in detail.

[1]  Daniël De Zutter,et al.  Electromagnetic and Circuit Modelling of Multiconductor Transmission Lines , 1993 .

[2]  R. L. Wagner,et al.  Fast waveguide mode computation using wavelet-like basis functions , 1993, IEEE Microwave and Guided Wave Letters.

[3]  M. Salazar-Palma,et al.  Utilization of wavelet concepts in finite elements for an efficient solution of Maxwell's equations , 1994 .

[4]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[5]  Ronald R. Coifman,et al.  Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations , 1993, SIAM J. Sci. Comput..

[6]  Guang-Wen Pan,et al.  Full wave analysis of microstrip floating line structures by wavelet expansion method , 1995 .

[7]  T. Sarkar,et al.  On the choice of expansion and weighting functions in the numerical solution of operator equations , 1985 .

[8]  C. Chui.  Wavelets: A Tutorial in Theory and Applications , 1992 .

[9]  A. Haar.  Zur Theorie der orthogonalen Funktionensysteme , 1910 .

[10]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[11]  Linda P. B. Katehi,et al.  Analysis of integrated millimeter-wave and submillimeter-wave waveguides using orthonormal wavelet expansions , 1994 .

[12]  Y. Leviatan,et al.  On the use of wavelet expansions in the method of moments (EM scattering) , 1993 .

[13]  R. Pogorzelski.  Improved computational efficiency via near-field localization , 1993 .

[14]  R. H. Jansen,et al.  High-Speed Computation of Single and Coupled Microstrip Parameters Including Dispersion, High-Order , 1978 .