Electromagnetic field behavior near homogeneous anisotropic wedges

Abstract

The behavior of electromagnetic fields in the vicinity of homogeneous anisotropic wedges is investigated. An extensive analytical treatment is presented for the fields near the tip of the wedge in the static limit. This can be carried out by first allowing the propagation parameter to vanish and then by solving the resulting Laplace-type equation to determine the local distribution of the electric and magnetic fields, which can be found from two transcendental equations. The roots of these equations govern the radial dependence of the field close to the tip and, hence, a graphical representation of their solutions is introduced to illustrate the circumstances under which the fields exhibit singular behavior. Numerical case-studies are presented along with the results obtained by using the static approximation to the dynamic problem. The near fields are calculated so that their radial dependence in the azimuthal plane can be compared to that extracted from the static power law. >