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dc.contributor.authorMann, Nishanen
dc.date.accessioned2017-04-03T19:49:25Z
dc.date.available2017-04-03T19:49:25Z
dc.identifier.urihttp://hdl.handle.net/1974/15618
dc.description.abstractPhotonic crystal waveguides (PCWs) are nano-scale devices offering an exciting platform for exploring and exploiting enhanced linear and nonlinear light-matter interactions, aided in-part by slowing down the group velocity (vg) of on-chip photons. However, with potential applications in telecommunications, bio-sensing and quantum computing, the road to commercialization and practical devices is hindered by our limited understanding of the influence of structural disorder on linear and nonlinear light propagation. This thesis refines and develops state-of-the-art mathematical and numerical models for understanding the important role of disorder-related optical phenomena for PCWs in the linear and optical nonlinear regime. The importance of Bloch modes is demonstrated by computing the power loss caused by disorder-induced scattering for various dispersion engineered PCWs. The theoretical results are found to be in very good agreement with related experiments and it is shown how dispersion engineered designs can minimize the Bloch fields around spatial imperfections resulting in a radical departure from the usual assumed scaling vg^−2 of backscattering losses. We also conduct a systematic investigation of the influence of intra-hole correlation length, a parameter characterizing disorder on backscattering losses and find the loss behaviour to be qualitatively dependent on waveguide design and frequency. We then model disorder-induced resonance shifts to compute the ensemble averaged disordered density of states, accounting for important local field effects which are crucial in achieving good qualitative agreement with experiments. Lastly, motivated by emerging experiments examining enhanced nonlinear interactions, we develop an intuitive time dependent coupled mode formalism to derive propagation equations describing nonlinear pulse propagation in the presence of disorder-induced multiple scattering. The framework establishes a natural length scale for each physical interaction offering considerable insight and we develop and implement a stable implicit finite-difference scheme to solve the propagation equations. Our results also reproduce some hitherto unexplained features in recent experiments and the general theory can be extended to include a wide range of other nonlinear optical effects such as three- photon absorption and four wave mixing.en
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsQueen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canadaen
dc.rightsProQuest PhD and Master's Theses International Dissemination Agreementen
dc.rightsIntellectual Property Guidelines at Queen's Universityen
dc.rightsCopying and Preserving Your Thesisen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectphotonic crystalsen
dc.subjectdisorderen
dc.subjectnonlinear opticsen
dc.subjectcoupled mode theoryen
dc.subjectnanophotonicsen
dc.subjectslow lighten
dc.subjectmultiple scatteringen
dc.subjectphotonic crystal waveguidesen
dc.titleTheoretical and computational studies of disorder-induced scattering and nonlinear optical interactions in slow-light photonic crystal waveguidesen
dc.typethesisen
dc.description.degreePhDen
dc.contributor.supervisorHughes, Stephenen
dc.contributor.departmentPhysics, Engineering Physics and Astronomyen
dc.degree.grantorQueen's University at Kingstonen


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