Numerically efficient multipole method for photonic molecules

Publication Type:
Conference Proceeding
Proceedings of 2008 10th Anniversary International Conference on Transparent Optical Networks, ICTON, 2008, 4 pp. 230 - 233
Issue Date:
Filename Description Size
Thumbnail2008001888OK.pdf743.25 kB
Adobe PDF
Full metadata record
A novel and numerically efficient multipole formulation for the calculation of resonances of photonic molecules is presented. Photonic molecules are often modeled as two dimensional coupled dielectric disks. We use the multipole expansion of the individual fields and formulate the boundary conditions in terms of a generalized eigenvalue problem. The complex root search is simplified by studying the flow of the eigenvalues, where we argue that the motion of the eigenvalues in the complex plane is analytic with respect to a two parameter family. Based on this analytic behavior we present a numerical algorithm to compute a range of photonic molecule resonances and field distributions using only two diagonalizations. ©2008 IEEE.
Please use this identifier to cite or link to this item: