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\title{A NEW SOLUTION FOR ELECTROMAGNETIC SCATTERING
        BY A PERFECTLY CONDUCTING BODY OF REVOLUTION}
\author{A.G.Bestugin, V.G.Farafonov}{
            Academy of Aerospace Instrumentation \\
    Bolshaya Morskaya 67, 190000, St.Petersburg, Russia}

      A new explicit solution is presented for a diffraction of
a plane wave by a perfectly conducting body of revolution. The
diffraction problem is split into axisymmetrical and non-axisymmetrical
parts (i. e. a one independent of the azimuthal angle and a one
of which the average with respect to the azimuth vanishes). In the
first case certain surface integral equations are derived for
some scalar potentials, related to the Abraham potentials, and
describing the axisymmetrical part of the wave field. In the
second case surface integral equations are derived for some special
scalar potentials describing the non-axisymmetrical wave field.
Earlier similar scalar potentials were introduced by V. G.
Farafonov in course of a construction of a solution for
spheroidal scatterers by separation of variables [1].

 	The scalar potentials are represented in a form of infinite
series expansions with respect to the spherical wave functions of
which the coefficients are to be found by solving of infinite
systems of linear algebraic equations.

     In the axisymmetrical case these can be solved by the method
of reduction in a unique way, at least for a convex obstacle.
The proof employs the approach by Kiurkchan [2]. In the
non-axisymmetrical case the infinite systems were studied for
a case of non-degenerate spheroidal scatterers.

\begin{thebibliography}{99}
\bibitem{far1} Farafonov V.G. Differential Equations. 1983. v.19. N.10. p.1765.
\bibitem{far2} Kiurkchan A.G. Doklady RAN. 1994. v.337.  N.6. p.728.
\end{thebibliography}


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