Rigorous integral equation analysis of nonsymmetric coupled grating slab waveguides

Tsitsas, NL; Kaklamani, DI; Uzunoglu, NK

dc.contributor.author	Tsitsas, NL	en
dc.contributor.author	Kaklamani, DI	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:25:05Z
dc.date.available	2014-03-01T01:25:05Z
dc.date.issued	2006	en
dc.identifier.issn	1084-7529	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17539
dc.subject	Integral Equation	en
dc.subject.classification	Optics	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Diffraction gratings	en
dc.subject.other	Electric field effects	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Green's function	en
dc.subject.other	Integral equations	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Fourier series expansion	en
dc.subject.other	Grating perturbations	en
dc.subject.other	Optical bandpass filter	en
dc.subject.other	Optical couplers	en
dc.subject.other	Optical waveguides	en
dc.title	Rigorous integral equation analysis of nonsymmetric coupled grating slab waveguides	en
heal.type	journalArticle	en
heal.identifier.primary	10.1364/JOSAA.23.002888	en
heal.identifier.secondary	http://dx.doi.org/10.1364/JOSAA.23.002888	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	A rigorous integral equation formulation in conjunction with Green's function theory is used to analyze the waveguiding and coupling phenomena in nonsymmetric (composed of dissimilar slabs) optical couplers with gratings etched on both slabs. The resulting integral equation is solved by applying an entire-domain Galerkin technique based on a Fourier series expansion of the unknown electric field on the grating regions. The proposed analysis actually constitutes a special type of the method of moments and provides high numerical stability and controllable accuracy. The singular points of the system's matrix accurately determine the complex propagation constants of the guided waves. The results obtained improve on those derived by coupled-mode methods in the cases of large grating perturbations and highly dissimilar slabs. Numerical results referring to the evolution of the propagation constants as a function of the grating's characteristics are presented. Optimal grating parameters with respect to minimum coupling length and maximum coupling efficiency are reported. The coupler's efficient operation as an optical bandpass filter is thoroughly investigated. (c) 2006 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.23.002888	en
dc.identifier.isi	ISI:000241431900026	en
dc.identifier.volume	23	en
dc.identifier.issue	11	en
dc.identifier.spage	2888	en
dc.identifier.epage	2905	en