Modes of the infinite square lattice of coupled microring resonators

Chremmos, I; Uzunoglu, N

dc.contributor.author	Chremmos, I	en
dc.contributor.author	Uzunoglu, N	en
dc.date.accessioned	2014-03-01T01:28:47Z
dc.date.available	2014-03-01T01:28:47Z
dc.date.issued	2008	en
dc.identifier.issn	1084-7529	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18972
dc.subject.classification	Optics	en
dc.subject.other	Dispersions	en
dc.subject.other	Integrated optoelectronics	en
dc.subject.other	Two dimensional	en
dc.subject.other	Bloch modes	en
dc.subject.other	Coupled-resonator optical waveguides	en
dc.subject.other	Dispersion equations	en
dc.subject.other	Evanescent modes	en
dc.subject.other	Matrix formalisms	en
dc.subject.other	Micro rings	en
dc.subject.other	Micro-ring resonators	en
dc.subject.other	Optical medias	en
dc.subject.other	Pass bands	en
dc.subject.other	Power-coupling ratios	en
dc.subject.other	Square lattices	en
dc.subject.other	Stop bands	en
dc.subject.other	Wave-numbers	en
dc.subject.other	Optical resonators	en
dc.title	Modes of the infinite square lattice of coupled microring resonators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1364/JOSAA.25.003043	en
heal.identifier.secondary	http://dx.doi.org/10.1364/JOSAA.25.003043	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The infinite square lattice of coupled microring optical resonators is studied for what we belive to be the first time. Using the standard matrix formalism and the classical Bloch's theorem for propagation in periodic optical media, the dispersion equation and the amplitudes of propagating Bloch modes are derived analytically. It is found that the dispersion equation omega(k(x),k(y)) of this 2D microring array is expressed as the sum of two independent dispersion equations of the 1D microring array with wavenumbers k(x) and k(y) As a result, the width of the passband is twice that of a microring coupled-resonator optical waveguide and there are no stop bands for an interresonator power coupling ratio greater than 1/2. The evanescent modes that are important to the analysis of lattices with interrupted periodicity are also studied. The reported analysis is the prerequisite to the future study of superresonators consisting of large finite microring arrays. (C) 2008 Optical Society of America	en
heal.publisher	OPTICAL SOC AMER	en
heal.journalName	Journal of the Optical Society of America A: Optics and Image Science, and Vision	en
dc.identifier.doi	10.1364/JOSAA.25.003043	en
dc.identifier.isi	ISI:000262022900019	en
dc.identifier.volume	25	en
dc.identifier.issue	12	en
dc.identifier.spage	3043	en
dc.identifier.epage	3050	en