SOLVING THE PROBLEM OF MULTIPLE SCATTERING
ON AN ARBITRARY NUMBER OF SCATTERERS
IN THE HOMOGENEOUS THREE-DIMENSIONAL SPACE
B. P. Sharfarets
The article offers an approach to
the solution of the problem of multiple scattering 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 amplitudes of each scatterer are assumed
known. The solution is constructed by the calculation of repeated rescattering
of plane waves between scatterers.
The integral equations permitting one to calculate resultant scattering
amplitudes for each of them and a cu-mulative scattering amplitude 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 ar-bitrary number of scatterers. The expressions
for the scattering amplitude 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 expres-sions for calculation
of the scattering amplitude in the case of multiple scattering are
presented.