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Whispering Bloch modes
2016
Proceedings of the Royal Society A
We investigate eigenvalue problems for the planar Helmholtz equation in open systems with a high order of rotational symmetry. The resulting solutions have similarities with the whispering gallery modes exploited in photonic micro-resonators and elsewhere, but unlike these do not necessarily require a surrounding material boundary, with confinement instead resulting from the geometry of a series of inclusions arranged in a ring. The corresponding fields exhibit angular quasi-periodicity
doi:10.1098/rspa.2016.0103
pmid:27493564
pmcid:PMC4971240
fatcat:vqyymw46azfndjqgfj2htdzyhe