S and Q Matrices Reloaded: applications to open, inhomogeneous, and complex cavities
Abstract
We present a versatile numerical algorithm for computing resonances of open dielectric cavities. The emphasis is on the generality of the system's configuration, i.e. the geometry of the (main) cavity (and possible inclusions) and the internal and external dielectric media (homogeneous and inhomogeneous). The method is based on a scattering formalism to obtain the position and width of the (quasi)-eigenmodes. The core of the method lies in the scattering S-matrix and its associated delay Q-matrix which contain all the relevant information of the corresponding scattering experiment. For instance, the electromagnetic near- and far-fields are readily extracted. The flexibility of the propagation method is displayed for a selected system.
Keywords
Cite
@article{arxiv.1305.0473,
title = {S and Q Matrices Reloaded: applications to open, inhomogeneous, and complex cavities},
author = {Guillaume Painchaud-April and Joey Dumont and Denis Gagnon and Louis J. Dubé},
journal= {arXiv preprint arXiv:1305.0473},
year = {2014}
}
Comments
15th International Conference on Transparent Optical Networks (2013)