Analysis of the spectrum of the single integral equation for scattering from dielectric objects

Author

Yuan, J. ; Shanker, B.

Author_Institution

Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA

Volume

2B

fYear

2005

fDate

3-8 July 2005

Firstpage

93

Abstract

It has been shown that scattering from a dielectric body can be computed using a single unknown and a set of cascaded equations, viz., the single integral equation (SIE) (Glisson, A.W., 1984). We have carried out a detailed analysis to reveal the underlying mathematics of the operator. We have proved that the SIE formulation is a well conditioned integral equation, and with effortless modification, a resonance-free combined source single integral equation (CSIE) formulation is derived. Results have been obtained using the CSIE and it has been implemented using the Nystrom method.

Keywords

dielectric bodies; electromagnetic wave scattering; integral equations; spectral analysis; Nystrom method; cascaded equations; dielectric body; dielectric objects; resonance-free combined source single integral equation; scattering; spectral analysis; Convergence; Dielectric materials; Eigenvalues and eigenfunctions; Integral equations; Magnetic fields; Mathematics; Resonance; Riccati equations; Scattering; Surface impedance;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 2005 IEEE

Print_ISBN

0-7803-8883-6

Type

conf

DOI

10.1109/APS.2005.1551944

Filename

1551944