Nyström-type method for simulation of 2-D dielectric resonator antennas

We consider natural modes in an arbitrarily shaped dielectric resonator solving a 2-D eigenproblem for the Maxwell equations with exact boundary and radiation conditions. This problem is reduced to the coupled boundary integral equations, whose discrete form is built using the Nyström-type algorithm with accuracy limited by the cavity contour smoothness. The eigenfrequencies are found as roots of the corresponding determinantal equation. Modal fields in the near and far zones are investigated for a spiral-shape cavity. One can use the same method to simulate excitation of dielectric resonator antennas with given sources.