Wave scattering by obstacles leads to systems of integral equations for unknown fonctions defined on a surface . We show that
axisymmetric problems may be reduced to integral equations for unknown functions of a single variable, with a computational
gain. The singular kernels relevant to the integral operators of acoustics and electromagnetism are written explicitly and their
properties studied ; methods are provided for their efficient computation . As an example we take a conical corrugated horn and
determine, via a calculation of the superficial currents, its radiation patterns and standing wave ratio.Diffusion des ondes acoustiques et électromagnétiques par des corps de révolutio
