Further notes on electromagnetic field behavior near homogeneous anisotropic wedges

The behavior of fields near a wedge of anisotropic material is an important electromagnetic computation problem. Such fields may, under certain conditions, become infinite near the wedge. As a result, standard numerical methods such as finite elements and finite differences will introduce significant errors in the solution. This paper uses an approach first suggested by Beker (1991). We attempt to find a solution for a general anisotropic wedge and show the radial behavior of the resulting fields as a function of the angle of the wedge as well as the choice of media. Without any loss of generality we limit ourselves to a tensor dielectric permittivity of unity. Using duality, the results can be extended to magnetically anisotropic wedges. We investigate the rate at which the solution becomes infinite near the wedge. Since singular behavior occurs just at the tip of the wedge, the analysis is limited to distances much smaller than a wavelength.