Boundary integral equation technique for the singular behavior of electromagnetic fields at the common tip of metallic and bi-isotropic cones with arbitrary cross section

A boundary integral equation technique is developed to determine the singular field behavior at the common tip of lossless bi-isotropic and perfectly electrically and/or magnetically conducting cones with arbitrary cross section. The kernel of the set of boundary integral equations is a Green's function defined on a spherical surface. This Green's function is the associated Legendre function of the first kind. The integral equations are solved with the Galerkin method of moments. The theory is illustrated with a number of examples that show the effects of bi-isotropy on the singular field behavior.<
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