Pm. Goggans et al., ELECTROMAGNETIC SCATTERING FROM OBJECTS COMPOSED OF MULTIPLE HOMOGENEOUS REGIONS USING A REGION-BY-REGION SOLUTION, IEEE transactions on antennas and propagation, 42(6), 1994, pp. 865-871
This paper presents an efficient procedure to calculate the electromag
netic field scattered by an inhomogeneous object consisting of N + 1 l
inear isotropic homogeneous regions. The procedure is based on surface
integral equation (SIE) formulations and the method of moments. The m
ethod of moments is used to reduce the integral equations for each hom
ogeneous dielectric region into individual matrices. These matrices ar
e each solved for the equivalent electric current in terms of the equi
valent magnetic current. A simple algebraic procedure is used to combi
ne these solutions and to solve for the magnetic current on the outer
dielectric surfaces of the scatterer. With the magnetic current determ
ined, the electric current on the outer surface of the scatterer is ca
lculated. Because the matrix corresponding to each dielectric region i
s solved separately, we call this procedure the region-by-region metho
d. The procedure is simple and efficient. It requires less computer st
orage and less execution time than the conventional MM approach, in wh
ich all the unknown currents are solved for simultaneously. To illustr
ate the use of the procedure, the bistatic and monostatic radar cross
sections (RCS) of several objects are computed. The computed results a
re verified by comparison with results obtained numerically using the
conventional numerical procedure as well as via the series solution fo
r circular cylindrical structures. The possibility of nonunique soluti
ons has also been investigated.