Electrostatic edge modes of a hyperbolic dielectric wedge: Analytical solution

Abstract
An analytical solution to the problem of finding the electrostatic edge eigenmodes of a hyperbolic dielectric wedge is given and compared with the numerical solution given by Davis [Phys. Rev. B 14, 5523 (1976)]. The results presented here reproduce correctly the solutions found when the hyperbolic dielectric wedge tends to a sharp-edged dielectric wedge.