A METHOD OF SOLVING THE PROBLEM
OF MULTIPLE SCATTERING OF ELECTROMAGNETIC
WAVES IN THE HOMOGENEOUS BOUNDLESS SPACE
B. P. Sharfarets
The article offers an approach to
the solution of the problem of multiple scattering of electromagnetic waves
on a set of bodies in the homogeneous boundless space. For this purpose we
consider the problem of multiple scattering of two bodies located in a primary
field of a plane wave. The initial nonperturbed scattering ampli-tudes of
each scatterer are assumed known. The solution is constructed by the calculation
of repeated rescatter-ing of plane waves between scatterers. The integral
equations permitting one to calculate the resultant scattering matrix for
each of them and a cumulative scattering matrix of a system consisting of
two scatterers are obtained. It is shown that the solution of this problem
allows one to solve the problem of the scattering field for an arbi-trary
number of scatterers. The expressions for the scattering field in the case
of an arbitrary primary field are given. The relation between integral equations
for multiple scattering in the homogeneous space and those for multiple scattering
of a single body near the plane boundary is demonstrated. The approximate
expressions for calculation of the scattering field in the case of multiple
scattering are presented.