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\title{WAVE SCATTERING ON A BODY IMMERSED IN A HOMOGENEOUS SEMISPACE}
\author{A.G.Kyurkchan, S.A.Manenkov}
{Moscow Technical University\\
of Communication and Informatics\\
Department of Applied Mathematics\\
8A, Aviamotornaya, Moscow, 111024, Russia}

      In the work the diagram equations method has been 
applied to the problem of wave scattering on a body placed in 
inhomogeneous medium consisting of two homogeneous 
semispaces. The integral equation for the scattering diagram 
has been derived. The equation is shown to make a sum of two 
terms. One of them is caused by the field on the surface of 
the body and the other is due to the field reflected from the 
interface.  The algebraic system has been obtained by the 
expansion into the Fourier series and the matrix elements 
asymptotic studied. The reduction method validity criterion 
has been ascertained. It is shown that the system is 
solvable by the reduction method with the use of limitation 
on scatterer geometry. The asymptotic solution providing the 
distance between the body and interface is much more than the 
wave length has been obtained.  Scattering diagram and 
cross-section for different characteristics of the semispaces 
have been calculated. The comparison of numerical results and 
asymptotic solution has been made.


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