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

Optical Soc Amer
Publication Type:
Journal Article
Optics Express, 2009, 17 (15), pp. 13178 - 13186
Issue Date:
Full metadata record
Files in This Item:
Filename Description SizeFormat
2008007788OK.pdf1.06 MBAdobe PDF
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 high-wavenumber eigenstates. Using a simple reformulation of the field expansions and boundary conditions, we are able to transform the multipole formalism into a linear eigenvalue problem, for which fast and accurate methods are available. Observing that the motion of the eigenvalues in the complex plane is analytic with respect to a two parameter family, we present a numerical algorithm to compute a range of multiple-disk resonances and field distributions using only two diagonalizations. This method can be applied to photonic molecules, photonic crystals, photonic crystal fibers, and random lasers.
Please use this identifier to cite or link to this item: