TY - JOUR
T1 - Analysis of Direct and Inverse Cavity Scattering Problems
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 335
EP - 358
PY - 2011
DA - 2011/04
SN - 4
DO - http://doi.org/10.4208/nmtma.2011.m1021
UR - https://global-sci.org/intro/article_detail/nmtma/5972.html
KW - Electromagnetic cavity, direct problem, inverse problem, finite element methods, boundary integral equations.
AB - <p style="text-align: justify;">Consider the scattering of a time-harmonic electromagnetic plane
wave by an arbitrarily shaped and filled cavity embedded in a
perfect electrically conducting infinite ground plane. A method of
symmetric coupling of finite element and boundary integral equations
is presented for the solutions of electromagnetic scattering in both
transverse electric and magnetic polarization cases. Given the
incident field, the direct problem is to determine the field
distribution from the known shape of the cavity; while the inverse
problem is to determine the shape of the cavity from the measurement
of the field on an artificial boundary enclosing the cavity. In this
paper, both the direct and inverse scattering problems are discussed
based on a symmetric coupling method. Variational formulations for
the direct scattering problem are presented, existence and
uniqueness of weak solutions are studied, and the domain derivatives
of the field with respect to the cavity shape are derived.
Uniqueness and local stability results are established in terms of
the inverse problem.</p>