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dc.contributor.authorDocherty-Walthew, Graeme
dc.contributor.authorMazilu, Michael
dc.contributor.editorGlückstad, Jesper
dc.contributor.editorAndrews, David L.
dc.contributor.editorGalvez, Enrique J.
dc.identifier.citationDocherty-Walthew , G & Mazilu , M 2019 , Nonlinear Optical Eigenmodes . in J Glückstad , D L Andrews & E J Galvez (eds) , Complex Light and Optical Forces XIII . , 109351K , Proceedings of SPIE , Society of Photo-Optical Instrumentation Engineers , Complex Light and Optical Forces XIII (SPIE OPTO) , San Francisco , California , United States , 2/02/19 .
dc.identifier.otherORCID: /0000-0001-5432-7197/work/53857105
dc.description.abstractIn linear optics, the concept of a mode is well established. Often these modes correspond to a set of fields that are mutually orthogonal with intensity profiles that are invariant as they propagate through an optical medium. More generally, one can define a set of orthogonal modes with respect to an optical measure that is linear in intensity or quadratic/Hermitian in the fields using the method of Optical Eigenmodes (OEi). However, if the intensity of the light is large, the dipole response of an optical medium introduces nonlinear terms to Maxwell’s equations. In this nonlinear regime such terms influence the evolution of the fields and the principle of superposition is no longer valid and consequently, the method of Optical Eigenmodes breaks down. In this work, we define Optical Eigenmodes in the presence of these nonlinear source terms by introducing small perturbation fields onto a nonlinear background interaction and show how this background interaction influences the symmetries associated with the eigenmodes. In particular, by introducing orbital angular momentum (OAM) to the Hilbert space of the perturbation and background fields, we observe conservation laws and symmetries for which we derive associated operators.
dc.publisherSociety of Photo-Optical Instrumentation Engineers
dc.relation.ispartofComplex Light and Optical Forces XIIIen
dc.relation.ispartofseriesProceedings of SPIEen
dc.subjectOptical eigenmodesen
dc.subjectNonlinear opticsen
dc.subjectStructured elimininationen
dc.subjectOptical angular momentumen
dc.subjectQC Physicsen
dc.subjectT Technologyen
dc.titleNonlinear Optical Eigenmodesen
dc.typeConference itemen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. University of St Andrewsen
dc.contributor.institutionUniversity of St Andrews. Centre for Biophotonicsen

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