Scattering From a Lossless Sphere
Final rept. 15 Mar 2006-30 Nov 2008
NEW MEXICO UNIV ALBUQUERQUE DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE
Pagination or Media Count:
This report describes the results of a study of the fundamental issues in electromagnetic scattering theory with an emphasis on pole behaviors of a lossless sphere arising from the singularity expansion method SEM. Mie theory is used to solve the acoustic and electromagnetic scattering problems for spheres with lossless boundary conditions and an incident plane wave. It is shown that, for certain lossless sheet impedance boundary conditions there exist second order poles for both cases. The general procedure to directly construct lossless sheet impedance boundary conditions that will produce high order poles is discussed, in addition to the difficulties that subsequently arise. For the electromagnetic scattering case, Fosters theorem is imposed on the impedance condition to ensure that a lossless scattering problem is obtained. The validity of the forward scattering theorem associated with the SEM is studied as well.
- Electricity and Magnetism
- Radiofrequency Wave Propagation