Past Event: Oden Institute Seminar

Generalized Source Integral Equations

Amir Boag , Professor, Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel-Aviv University

Abstract

The Generalized Source Integral Equations (GSIEs) is a family of integral formulations which are designed to be inherently compressible, for the purpose of developing general fast direct solvers for arbitrary shaped essentially convex scatterers. These formulations employ highly directional sources with complex radiation patterns, rather than the conventional non-directional sources. Two types of directive sources designed to achieve deep shadow in a prescribed angular sector covering the interior of a scatterer have been developed. First type uses electric and magnetic currents to absorb the radiation of an isotropic elemental source within the specified angular sector, while the second - employs perfectly conducting elliptical shields to deflect the undesirable radiation. Such sources inherently eliminate line-of-sight interactions between the opposite sides of an essentially convex scatterer, thus effectively reducing the problem’s dimensionality. The dimensionality reduction leads in turn to multilevel compressible matrices and facilitates the construction of fast direct solvers. Bio Amir Boag received the B.Sc. degree in electrical engineering and the B.A. degree in physics in 1983, both Summa Cum Laude, the M.Sc. degree in electrical engineering in 1985, and the Ph.D. degree in electrical engineering in 1991, all from Technion - Israel Institute of Technology, Haifa, Israel. From 1991 to 1992 he was on the Faculty of the Department of Electrical Engineering at the Technion. From 1992 to 1994 he has been a Visiting Assistant Professor with the Electromagnetic Communication Laboratory of the Department of Electrical and Computer Engineering at the University of Illinois at Urbana-Champaign. In 1994, he joined Israel Aircraft Industries as a research engineer and became a manager of the Electromagnetics Department in 1997. Since 1999, he is with the Physical Electronics Department of the School of Electrical Engineering at Tel Aviv University, where he is currently a Professor. Dr. Boag's interests are in computational electromagnetics, wave scattering, imaging, and design of antennas and optical devices. He has published over 110 journal articles and presented more than 250 conference papers on electromagnetics and acoustics. Prof. Boag is an Associate Editor for IEEE Transactions on Antennas and Propagation. He is a Fellow of the Electromagnetics Academy. In 2008, Amir Boag was named a Fellow of the IEEE for his contributions to integral equation based analysis, design, and imaging techniques.