Properties of regular polygons of coupled microring resonators

Chremmos, I; Uzunoglu, N

dc.contributor.author	Chremmos, I	en
dc.contributor.author	Uzunoglu, N	en
dc.date.accessioned	2014-03-01T01:26:56Z
dc.date.available	2014-03-01T01:26:56Z
dc.date.issued	2007	en
dc.identifier.issn	0003-6935	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18293
dc.subject.classification	Optics	en
dc.subject.other	Coupled microring resonators	en
dc.subject.other	Field transfer matrix	en
dc.subject.other	Floquet theorem	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Natural frequencies	en
dc.subject.other	Theorem proving	en
dc.subject.other	Transfer matrix method	en
dc.subject.other	Wave propagation	en
dc.subject.other	Resonators	en
dc.title	Properties of regular polygons of coupled microring resonators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1364/AO.46.007730	en
heal.identifier.secondary	http://dx.doi.org/10.1364/AO.46.007730	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	The resonant properties of a closed and symmetric cyclic array of N coupled microring resonators (coupled-microring resonator regular N-gon) are for the first time determined analytically by applying the transfer matrix approach and Floquet theorem for periodic propagation in cylindrically symmetric structures. By solving the corresponding eigenvalue problem with the field amplitudes in the rings as eigenvectors, it is shown that, for even or odd N, this photonic molecule possesses 1 + N/2 or 1 + N resonant frequencies, respectively. The condition for resonances is found to be identical to the familiar dispersion equation of the infinite coupled-microring resonator waveguide with a discrete wave vector. This result reveals the so far latent connection between the two optical structures and is based on the fact that, for a regular polygon, the field transfer matrix over two successive rings is independent of the polygon vertex angle. The properties of the resonant modes are discussed in detail using the illustration of Brillouin band diagrams. Finally, the practical application of a channel-dropping filter based on polygons with an even number of rings is also analyzed. (C) 2007 Optical Society of America.	en
heal.publisher	OPTICAL SOC AMER	en
heal.journalName	Applied Optics	en
dc.identifier.doi	10.1364/AO.46.007730	en
dc.identifier.isi	ISI:000251354500019	en
dc.identifier.volume	46	en
dc.identifier.issue	31	en
dc.identifier.spage	7730	en
dc.identifier.epage	7738	en