Special Session 4: Mathematical methods in electromagnetism and related topics

Foldy-Lax T-matrix schemes in direct and inverse multiple scattering
Nikolaos L. Tsitsas
Aristotle University of Thessaloniki
Greece
Co-Author(s):    Andreas Kalogeropoulos and Nikolaos L. Tsitsas
Abstract:
The Foldy-Lax method is a robust technique for solving direct multiple scattering problems. In this work, by combining the T-Matrix approach and the Sommerfeld`s decomposition method, we modify the Foldy-Lax method to solve inverse scattering problems related to the spherical-wave excitation of a dielectric medium surrounded by a cluster of point-like PEC scatterers. Combining the Foldy-Lax method with the recently established Overall Superposition Method, the multiple scattering problem is reduced to a problem of a single scatterer excited by an ensemble of dipoles. In this way, schemes for the determination of the unknown fields of the point-like scatterers are devised by means of the T-Matrix approach. The energy transfer process, the behavior of the involved energy and flux and the performance of the proposed schemes are analyzed numerically.