Vm. Babich et al., NUMERICAL-CALCULATION OF THE DIFFRACTION COEFFICIENTS FOR AN ARBITRARY SHAPED PERFECTLY CONDUCTING CONE, IEEE transactions on antennas and propagation, 44(5), 1996, pp. 740-747
A method for numerical calculation of the diffraction coefficients for
electromagnetic diffraction by arbitrarily shaped perfectly conductin
g cones is proposed, The approach makes an extensive use of the analyt
ic formulas of Smyshlyaev [15] in combination with further development
s, including a use of the potential theory adapted to the Laplace-Belt
rami operator on a subdomain of unit sphere. This reduces the problem
to a Fredholm integral equation on the closed curve of the unit sphere
(defining the cone's geometry) which can be solved numerically, This
strategy permits us to implement a numerical code for calculation of t
he diffraction coefficients for cones of rather general cross sections
, Results of sample calculations for the circular and elliptic cones a
re given.