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The Field of a Vertical Dipole in the Presence of a Perfectly
Conducting Body with the Axial Symmetry

Victor G. Farafonov and Andrey A. Loskutov
St.Petersburg University of Aerocosmic Instrumentation,
St.Petersburg, Russia


Abstract

A new solution to the problem of diffraction of the field of a dipole
located on the axis of symmetry of a perfectly conducting axially
symmetric body is presented. It is assumed that the dipole moment is
directed along the axis and therefore both incident and scattered fields
do not depend on the azimuthal angle. To solve the problem, scalar
potentials connected with the azimuthal components of electromagnetic
fields are used. Surface integral equations for these potentials are
obtained. The potentials are represented by expansions in terms of
spherical wave functions. Infinite systems of linear algebraic equations
are given for coefficients of these expansions. Under certain conditions
on geometry of the problem the systems have unique solutions which can
be found by a reduction method. Numerical calculations have demonstrated
high efficiency of the approach.

The work was partly supported by INTAS (grant 99/652).