Field Behavior near Singular Points in Composite Dielectric Arrangements

At some points on the boundary of two dielectrics, such as at a contact point of the linear boundary with an electrode, the field strength E may change as a function of K.ιm (ι is the distance from the contact point). The exponent m is negative or positive according to whether the ratio of the two dielectric constants, ε2/ε1, is greater or less than unity. A negative value of mresults in an infinitely high field strength at the point. In this paper, this field behavior is studied numerically by the charge simulation method and analytically by the variable separation method in both two-dimensional and axially symmetrical arrangements.