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Propagation of light in complex photonic lattices with saturable nonlinearity

dc.contributor.advisorMilanović, Vitomir B.
dc.contributor.otherStepić, Milutin
dc.contributor.otherRadovanović, Jelena V.
dc.contributor.otherHadžievski, Ljupčo
dc.contributor.otherRadunović, Jovan
dc.creatorBeličev, Petra
dc.date.accessioned2018-03-05T13:19:16Z
dc.date.available2016-01-05T11:54:30Z
dc.date.available2018-03-05T13:19:16Z
dc.date.issued2012-05-17
dc.identifier.urihttp://eteze.bg.ac.rs/application/showtheses?thesesId=215
dc.identifier.urihttps://fedorabg.bg.ac.rs/fedora/get/o:5471/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70036&RID=43479055
dc.identifier.urihttp://nardus.mpn.gov.rs/123456789/2237
dc.identifier.urihttp://vinar.vin.bg.ac.rs/handle/123456789/7244
dc.description.abstractU ovoj disertaciji teorijski i eksperimentalno su analizirani linearni i nelinearni efektikoji prate prostiranje vidljive laserske svetlosti kroz različite jednodimenzionalne (1D) fotonskerešetke napravljene od materijala sa zasićujućom (saturacionom) nelinearnošću, kao što je, naprimer, litijum niobat (LiNbO3). Zbog nelinearnog odziva kakvim se odlikuju ovakvi materijali,moguće je formiranje stabilnih prostornih lokalizovanih struktura na granicama između dveuniformne rešetke istih, odnosno različitih perioda, kao i unutar binarnih superrešetki, kako unelinearnom režimu, tako i u linearnom kada do lokalizacije dolazi u okolini defekta. Udoktorskoj tezi razvijeni su odgovarajući matematički modeli i primenjene različite numeričkemetode za dobijanje odgovarajućih rezultata, dok su neki od rezultata potvrđeni ieksperimentalno u nelinearnim 1D fotonskim rešetkama proizvedenim u LiNbO3. Korišćenimatematički modeli zasnovani su na sistemima spregnutih diferencno-diferencijalnih jednačina,tačnije 1D diskretnim nelinearnim Šredingerovim (Schrödinger) jednačinama sa nelinearnostimaKerovog (Kerr) i zasićujućeg tipa, dok je stabilnost dobijenih rešenja ispitivana primenommetoda linearne analize stabilnosti. Za rešavanje stacionarnih i dinamičkih jednačina izloženih utezi, korišćene su numeričke metode pod nazivom Gaus-Njutnova metoda (Gauss-Newton) iRunge-Kuta (Runge-Kutta) metoda, respektivno. Dobijeni numerički i eksperimentalni rezultatipokazuju da prisustvo defekta utiče na formiranje lokalizovanih modova kako u nelinearnom,tako i u linearnom režimu, tj. pri malim upadnim snagama nedovoljnim za ispoljavanjenelinearnog odziva sredine. Rezultati pokazuju da pored pojave linearnih lokalizovanih stanja, unelinearnom režimu dolazi do narušavanja simetrije lokalizovanih rešenja kada su ispunjeniodgovarajući uslovi. U slučaju prostiranja svetlosti kroz binarne superrešetke, rezultati ukazuju napostojanje novih tipova lokalizovanih rešenja, kao i otvaranje dodatnog procepa u zonskojstrukturi posmatrane rešetke. Pored ovoga, prikazani su i numerički rezultati dobijeni analizommeđusobnih interakcija solitonskih rešenja, kao i ispitivanjem osobina modova lokalizovanih napovršini rešetke.sr
dc.description.abstractIn this dissertation the linear and nonlinear effects accompanying the propagationof visible laser light through a different one-dimensional (1D) photonic lattices made of materialwith a saturable nonlinearity, such as, for example, lithium niobate (LiNbO3) are bothinvestigated, theoretically and experimentally. Due to the nonlinear response of these materialsto the intensity of incident radiation, the light passing through the photonic lattice causes localchange in the refractive index, providing necessary conditions for the formation of stablelocalized spatial structures at the interfaces between two uniform lattices of the same or differentperiods, and also within the binary superlattices, in the nonlinear regime, as well as in the linearregime when the localization occurs in the vicinity of the defect. In this dissertation, appropriatemathematical models are developed and various numerical methods for obtaining the relevantresults are applied. Some of the results have been confirmed experimentally in 1D nonlinearphotonic lattices fabricated in LiNbO3. Mathematical models are based on systems of coupleddifference- differential equations, namely the 1D discrete nonlinear Schrödinger equation withthe nonlinear term of Kerr and saturable type, while the stability of the obtained solutions wasinvestigated using the method of linear stability analysis. To solve stationary and dynamicequations presented in this dissertation, numerical methods such as the Gauss-Newton andRunge-Kutta methods are performed, respectively. The obtained numerical and experimentalresults show that the presence of the defect affects the formation of localized modes in thenonlinear, as well as in the linear regime, i.e. for intensities insufficient for the manifestation ofthe nonlinear response of the medium. Furthermore, the results indicate to the possibleappearance of the symmetry breaking of the mode profiles of certain nonlinear localizedsolutions when appropriate conditions are met. In the case of light propagation through binarysuperlattices, results show the emergence of new types of localized solutions and the opening ofan additional gap in the observed energy spectrum of the lattice. Additionally, numerical resultsobtained by analyzing the mutual interaction of soliton solutions, as well as examining theproperties of localized modes at the surface of the lattice, are presented as well.en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Београду, Електротехнички факултетsr
dc.relationinfo:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/45010/RS//
dc.rightsopenAccessen
dc.sourceУниверзитет у Београдуsr
dc.subjectNelinearni optički talasovodi, Optički solitoni, Lokalizovani modovi, Nelinearnadinamika solitona, Optički prekidači, Optički uređajisr
dc.subjectNonlinear optical waveguides, Optical solitons, Localized modes, Nonlineardynamics of solitons, Optical switches, Optical devicesen
dc.titleProstiranje svetlosti u kompleksnim fotonskim rešetkama sa zasićujućom nelinearnošćusr
dc.titlePropagation of light in complex photonic lattices with saturable nonlinearityen
dc.typedoctoralThesisen
dc.rights.licenseBY-NC
dcterms.abstractМилановић, Витомир; Радовановић, Јелена; Степић, Милутин; Радуновић, Јован; Хаджиевски, Љупчо; Беличев, Петра; Простирање светлости у комплексним фотонским решеткама са засићујућом нелинеарношћу; Простирање светлости у комплексним фотонским решеткама са засићујућом нелинеарношћу;
dc.identifier.fulltexthttp://vinar.vin.bg.ac.rs//bitstream/id/1438/Disertacija.pdf


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