Field singularities at the tip of a metallic cone of arbitrary cross section

The "spherical-harmonics" problem is investigated for a cone of arbitrary cross section. The analysis shows that two basic singularities must be considered: 1) the electric singularity, in which
\bar{e}
becomes infinite like
R^{\nu-1}
near the tip of the cone, 2) the magnetic singularity, in which
\bar{h}
becomes infinite like
R^{\tau-1}
. Numerical results, in particular concerning
\nu
and
\tau
, are given for: 1) the elliptic cone and its limiting case the sector, 2) the pyramidal corner.