Nystrom method for the Muller boundary integral equations on a dielectric body of revolution: axially symmetric problem

The authors consider the electromagnetic field in the presence of a dielectric body of revolution (BOR) in the axially symmetric case. The associated Muller boundary integral equation (IE) is reduced to a set of two IEs, further discretised using the Nystrom method. They derive a determinantal equation for the search of natural modes and present a new approach for the calculation of its roots. Results obtained are compared with known data for a dielectric sphere and a BOR generated by a super-ellipse as an approximation of a finite circular cylinder. The resonant frequencies and the Q-factors of the natural modes of a dielectric spheroid are studied.