Mathematical methods in physics

Quick root searching method for resonances of dielectric optical microcavities with the boundary element method

In this paper, we developed an efficient method for searching the resonant eigenfrequency of dielectric optical microcavities by the boundary element method. By transforming the boundary integral equation to a general eigenvalue problem for …

An improved method for calculating resonances of multiple dielectric disks arbitrarily positioned in the plane

We present a numerically improved multipole formulation for the calculation of resonances of multiple disks located at arbitrary positions in a 2-d plane, and suitable for the accurate computation of the resonances of large numbers of disks and of …