Matrix analysis of coupled microring resonator polygons

Chremmos, I; Uzunoglu, N

dc.contributor.author	Chremmos, I	en
dc.contributor.author	Uzunoglu, N	en
dc.date.accessioned	2014-03-01T02:44:49Z
dc.date.available	2014-03-01T02:44:49Z
dc.date.issued	2007	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31957
dc.subject	Channel dropping filters	en
dc.subject	Coupled resonator optical waveguides	en
dc.subject	Floquet theorem	en
dc.subject	Microring resonators	en
dc.subject	Photonic molecules	en
dc.subject	Transfer matrix	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Integrated optoelectronics	en
dc.subject.other	Molecules	en
dc.subject.other	Optical communication	en
dc.subject.other	Optical data processing	en
dc.subject.other	Optical filters	en
dc.subject.other	Optical materials	en
dc.subject.other	Optical resonators	en
dc.subject.other	Optical waveguides	en
dc.subject.other	Resonance	en
dc.subject.other	Resonators	en
dc.subject.other	Semiconductor materials	en
dc.subject.other	Solid state lasers	en
dc.subject.other	Waveguides	en
dc.subject.other	Channel dropping filters	en
dc.subject.other	Coupled resonator optical waveguides	en
dc.subject.other	Floquet theorem	en
dc.subject.other	Microring resonators	en
dc.subject.other	Photonic molecules	en
dc.subject.other	Transfer matrix	en
dc.subject.other	Transfer matrix method	en
dc.title	Matrix analysis of coupled microring resonator polygons	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/ICTON.2007.4296355	en
heal.identifier.secondary	http://dx.doi.org/10.1109/ICTON.2007.4296355	en
heal.identifier.secondary	4296355	en
heal.publicationDate	2007	en
heal.abstract	The resonant properties of a photonic molecule, composed by N microring resonators forming a regular polygon, are for the first time determined analytically using the transfer matrix method. It is found that the transfer matrix between rings n, n + 2, n + 4 , ... is independent of the polygon vertex angle, allowing the application of Floquet theorem for periodic propagation in a cylindrically symmetric structure. Corresponding to even or odd N, the molecule possesses 1 + N/2 or 1 + N discrete resonances, which satisfy the dispersion equation of the straight coupled-resonator optical waveguide (CROW) with infinite rings. The field amplitudes in the rings are determined as eigenvectors of the corresponding eigenvalue problem. By incorporating the molecule into a channel dropping filter system, the presence of these resonances in the transmission spectrum is verified. © 2007 IEEE.	en
heal.journalName	Proceedings of 2007 9th International Conference on Transparent Optical Networks, ICTON 2007	en
dc.identifier.doi	10.1109/ICTON.2007.4296355	en
dc.identifier.volume	4	en
dc.identifier.spage	121	en
dc.identifier.epage	124	en