Integral equation analysis of propagation in a dielectric waveguide coupled to an infinite periodic sequence of ring resonators

Chremmos, ID; Uzunoglu, NK

dc.contributor.author	Chremmos, ID	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:20:38Z
dc.date.available	2014-03-01T01:20:38Z
dc.date.issued	2004	en
dc.identifier.issn	1350-2344	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15998
dc.subject	Dielectric Waveguide	en
dc.subject	Integral Equation	en
dc.subject	Ring Resonator	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Bessel functions	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Dielectric waveguides	en
dc.subject.other	Electromagnetic dispersion	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Linear systems	en
dc.subject.other	Resonators	en
dc.subject.other	Cylindrical wave function	en
dc.subject.other	Floquet theory	en
dc.subject.other	Infinite periodic sequence	en
dc.subject.other	Ring resonators	en
dc.subject.other	Electromagnetic wave propagation	en
dc.title	Integral equation analysis of propagation in a dielectric waveguide coupled to an infinite periodic sequence of ring resonators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1049/ip-smt:20040854	en
heal.identifier.secondary	http://dx.doi.org/10.1049/ip-smt:20040854	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	A rigorous integral-equation approach is proposed to analyse propagation in a dielectric waveguide coupled to a periodically spaced infinite sequence of ring resonators. The method utilises Green's function concept to formulate an integral equation for the field inside resonators. Floquet's theorem and Galerkin's technique are used to obtain a homogeneous linear system, involving the expansion coefficients of the unknown field in terms of cylindrical wave functions. The nontrivial solutions of the latter system provide a highly accurate estimation of the structure's Bloch modes, serving an in-depth analysis of the propagation and dispersion characteristics. The integral equation formulation allows the interaction between resonators to be expressed analytically in terms of free-space lattice sums and Sommerfeld-type series; this is an advantage for the analysis of a closely spaced sequence of resonators, which essentially acts as a coupled-resonator waveguide. The results show that coupling between the waveguide and the periodic sequence has a complicated impact on the undisturbed modes of both the coupled structures. © IEE, 2004.	en
heal.publisher	IEE-INST ELEC ENG	en
heal.journalName	IEE Proceedings: Science, Measurement and Technology	en
dc.identifier.doi	10.1049/ip-smt:20040854	en
dc.identifier.isi	ISI:000226837800002	en
dc.identifier.volume	151	en
dc.identifier.issue	6	en
dc.identifier.spage	390	en
dc.identifier.epage	393	en