Title: Topics on electromagnetic scattering from cavities

Abstract: 

The analysis of the electromagnetic scattering phenomenon induced by
cavities embedded in an infinite ground plane is of high interest to
the engineering community.  Applications include the design of
cavity-backed conformal antennas for civil and military use, the
characterization of radar cross section (RCS) of vehicles with
grooves, and the advancement of automatic target recognition. Due to
the wide range of applications and the challenge of solutions, the
problem has been the focus of much mathematical research in recent
years.

This talk will provide a survey of mathematical research in this
area. In addition I will describe the underlining mathematical
formulation for this framework. Specifically, one seeks to determine
the fields scattered by a cavity upon a given incident wave. The
general way of approach involves decomposing the entire solution
domain to two sub-domains via an artificial boundary enclosing the
cavity: the infinite upper half plane over the infinite ground plane
exterior to the boundary, and the cavity plus the interior region. The
problem is solved exactly in the infinite sub-domain, while the other
is solved numerically. The two regions are then coupled over the
artificial boundary via the introduction of a boundary operator
exploiting the field continuity over material interfaces. We will
touch on both the Perfect Electric Conducting and Impedance Ground
planes. Results of numerical implementations will be presented.