A Numerically Stable Algorithm for Resonance Frequency Analysis of Circular Cylinders

This paper explains the construction of a numerically stable algorithm for resonance frequency analysis of system of nested dielectric, metamaterial, impedance and perfectly conductive circular cylinders. The method is based on analytic regularization method. However, since the spectral problem is under consideration, contrary to the formerly suggested algorithms for circular cylinders, here the two-side regularizer are specified from the asymptotic analysis which do not destroy the resonance frequencies. Numerical examples demonstrate the numerical efficiency of our algorithm.