Abstract
The nature of two-dimensional electrostatic fields on the edges of anisotropic dielectric materials is discussed theoretically. To determine the validity of a numerical solution to a field problem related to compound anisotropic materials with sharp edges, it is necessary that physical properties and theoretical possibilities of the field be clarified. In this paper, the formula of the electric field and the eigenequation which describes the electric field near edges, where many anisotropic dielectric materials come into contact with each other, are introduced.
Some examples of electric fields are given to show the potential distribution of the field, and it is proved that the two axces of anisotropy contribute separately to the each field distribution by every eigenvalue. The distribution of eigenvalues in wide variations of dielectric constants and the geometrical parameters of edges are investigated. In the result, a new phenomena which does not have any singular electric field (infinitly large field) even on the sharp edge was found.
