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dc.contributor.authorEl-Sayed, Waleeden
dc.date.accessioned2021-07-19T21:53:59Z
dc.date.available2021-07-19T21:53:59Z
dc.identifier.urihttp://hdl.handle.net/1974/28966
dc.description.abstractIn optomechanical systems, the radiation forces exerted by photons are exploited to manipulate and measure mechanical motion, finding applications is optics, nanophotonics, mechanics, and gravitational wave detection. To understand and design such structures, the optical and mechanical mode behavior must be well understood and characterized. For example, one should have a good idea of how the design parameters of a system affect the underlying modes, how the modes interact with their surroundings (dissipation), and how the modes interact with each other. The recent development of quasinormal-mode (QNM) theory in cavity optics, which allows for a quantitatively accurate model of realistic cavities subject to energy losses and interference, has proven to be very powerful in nanophotonics design and simulations. In this thesis, we introduce a QNM theory of mechanical open-cavity modes, and use it to study the elastic mode behavior of optomechanical resonators subject to intrinsic loss and mode coupling, including a quantitative description of the elastic Purcell effect. In addition, we present controllable designs of exceptionally high quality-factor mechanical modes for coupled optomechanical cavities. Our semi-analytical theory is exemplified and confirmed by full three-dimensional numerical calculations on optomechanical beams, and the general findings apply to a wide range of mechanical cavity modes. This QNM formalism, when also coupled with a QNM theory of optical cavities, offers a unified framework for describing a wide range of optomechanical structures where dissipation is an inherent part of the resonator modes.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.subjectMechanicsen
dc.subjectquasinormalen
dc.subjectquasinormal modeen
dc.subjectmechanical quasinormal modesen
dc.subjectelastic quasinormal modesen
dc.subjectelastic Purcell factoren
dc.subjectmechanical Purcell factoren
dc.subjectoptomechanicsen
dc.subjectmode theoryen
dc.subjectleaky modesen
dc.subjectmechanical leaky modesen
dc.subjectcomplex eigenfrequenciesen
dc.subjectlossy mechanical cavitiesen
dc.subjectmode dissipationen
dc.titleQuasinormal-mode theory and design of elastic Purcell factors, mechanical cavity modes and Fano resonances in optomechanical beamsen
dc.typethesisen
dc.description.degreeM.A.Sc.en
dc.contributor.supervisorHughes, Stephen
dc.contributor.departmentPhysics, Engineering Physics and Astronomyen
dc.degree.grantorQueen's University at Kingstonen


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