Title :
Block tri-diagonal matrix formulation for inhomogeneous penetrable scattering problems
Author :
Twig, Y. ; Kastner, R.
Author_Institution :
Dept. of Electr. Eng., Tel Aviv Univ., Israel
Abstract :
A number of methods have been introduced for generating a good approximation of sparse or banded matrices for discretizing integral equations. A banded, block tri-diagonal matrix has been formulated by Govind, Wilton,and Glisson (1984) for bodies of revolution with concentric homogeneous shells, and solved recursively. A true block tri-diagonal matrix is generated for the solution of inhomogeneous penetrable scatterers of general shape and composition. In such a representation, the operation counts would be N/sup 7/3/ for the three dimensional case.
Keywords :
electromagnetic wave scattering; integral equations; sparse matrices; approximation; banded matrices; block tri-diagonal matrix; bodies of revolution; composition; concentric homogeneous shells; inhomogeneous penetrable scattering problems; integral equations; operation counts; shape; sparse matrices; Integral equations; Magnetic fields; Moment methods; Nonuniform electric fields; Planar waveguides; Scattering; Shape; Sparse matrices; Surface impedance; Transmission line matrix methods;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1994. AP-S. Digest
Conference_Location :
Seattle, WA, USA
Print_ISBN :
0-7803-2009-3
DOI :
10.1109/APS.1994.408049