Implementation of the matrix sparse decomposition technique to the scattering of two-dimensional homogeneous dielectric cylinders
Article first published online: 7 DEC 2012
Copyright 2001 by the American Geophysical Union.
Volume 36, Issue 2, pages 195–201, March-April 2001
How to Cite
2001), Implementation of the matrix sparse decomposition technique to the scattering of two-dimensional homogeneous dielectric cylinders, Radio Sci., 36(2), 195–201, doi:10.1029/2000RS002524., , and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 7 NOV 2000
- Manuscript Received: 12 JUL 2000
In this paper, a novel matrix-thinning technique, matrix sparse decomposition (MSD) [Liu et al., 1998, 1999], has been implemented to solve the scattering of waves by two-dimensional (2-D) homogeneous dielectric cylinders for the first time. The MSD technique is a further development of the integral equation formulation of the measured equation of invariance (MEI) (IE-MEI) [Rius et al., 1996a; Hirose et al., 1999a]. The MSD describes the local relationship between total currents and scattered fields rather than that between the scattered electric fields and the scattered magnetic fields in the IE-MEI. The MSD directly thins a dense matrix from singular integral equations, such as method of moments (MOM), into two sparse matrices. The IE-MEI method has difficulty in solving thin wire or thin plate structure problems. However, the MSD can do it without a hitch. Numerical examples for the scattering of 2-D homogeneous dielectric circular and rectangular cylinders under both transverse magnetic and transverse electric plane wave incidences show that the MSD is a simple and effective technique to thin the MOM dense matrix.