Power dependent soliton location and stability in complex photonic structures

Kominis, Y; Hizanidis, K

dc.contributor.author	Kominis, Y	en
dc.contributor.author	Hizanidis, K	en
dc.date.accessioned	2014-03-01T01:29:02Z
dc.date.available	2014-03-01T01:29:02Z
dc.date.issued	2008	en
dc.identifier.issn	1094-4087	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19089
dc.subject.classification	Optics	en
dc.subject.other	Chlorine compounds	en
dc.subject.other	Crack propagation	en
dc.subject.other	Light refraction	en
dc.subject.other	Modulation	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Nonlinear optics	en
dc.subject.other	Optical properties	en
dc.subject.other	Organic polymers	en
dc.subject.other	Refractive index	en
dc.subject.other	Refractometers	en
dc.subject.other	System stability	en
dc.subject.other	Ultrashort pulses	en
dc.subject.other	Complex photonic structures	en
dc.subject.other	Inhomogeneities	en
dc.subject.other	Non-linear medium	en
dc.subject.other	Nonlinear refractive indices	en
dc.subject.other	Photonic structures	en
dc.subject.other	Propagation constants	en
dc.subject.other	Propagation equations	en
dc.subject.other	Quasi-periodic lattices	en
dc.subject.other	Refractive indices	en
dc.subject.other	Soliton solutions	en
dc.subject.other	Spatial in-homogeneity	en
dc.subject.other	Spatial structuring	en
dc.subject.other	Translational invariance	en
dc.subject.other	Traveling waves	en
dc.subject.other	Type theories	en
dc.subject.other	Wave-numbers	en
dc.subject.other	Solitons	en
dc.subject.other	article	en
dc.subject.other	computer simulation	en
dc.subject.other	energy transfer	en
dc.subject.other	equipment	en
dc.subject.other	equipment design	en
dc.subject.other	instrumentation	en
dc.subject.other	light	en
dc.subject.other	optics	en
dc.subject.other	photon	en
dc.subject.other	radiation scattering	en
dc.subject.other	theoretical model	en
dc.subject.other	Computer Simulation	en
dc.subject.other	Energy Transfer	en
dc.subject.other	Equipment Design	en
dc.subject.other	Equipment Failure Analysis	en
dc.subject.other	Light	en
dc.subject.other	Models, Theoretical	en
dc.subject.other	Optics	en
dc.subject.other	Photons	en
dc.subject.other	Scattering, Radiation	en
dc.title	Power dependent soliton location and stability in complex photonic structures	en
heal.type	journalArticle	en
heal.identifier.primary	10.1364/OE.16.012124	en
heal.identifier.secondary	http://dx.doi.org/10.1364/OE.16.012124	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The presence of spatial inhomogeneity in a nonlinear medium results in the breaking of the translational invariance of the underlying propagation equation. As a result traveling wave soliton solutions do not exist in general for such systems, while stationary solitons are located in fixed positions with respect to the inhomogeneous spatial structure. In simple photonic structures with monochromatic modulation of the linear refractive index, soliton position and stability do not depend on the characteristics of the soliton such as power, width and propagation constant. In this work, we show that for more complex photonic structures where either one of the refractive indices (linear or nonlinear) is modulated by more than one wavenumbers, or both of them are modulated, soliton position and stability depends strongly on its characteristics. The latter results in additional functionality related to soliton discrimination in such structures. The respective power (or width / propagation constant) dependent bifurcations are studied in terms of a Melnikov-type theory. The latter is used for the determination of the specific positions, with respect to the spatial structure, where solitons can be located. A wide variety of cases are studied, including solitons in periodic and quasiperiodic lattices where both the linear and the nonlinear refractive index are spatially modulated. The investigation of a wide variety of inhomogeneities provides physical insight for the design of a spatial structure and the control of the position and stability of a localized wave. © 2008 Optical Society of America.	en
heal.publisher	OPTICAL SOC AMER	en
heal.journalName	Optics Express	en
dc.identifier.doi	10.1364/OE.16.012124	en
dc.identifier.isi	ISI:000258368600052	en
dc.identifier.volume	16	en
dc.identifier.issue	16	en
dc.identifier.spage	12124	en
dc.identifier.epage	12138	en