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dc.contributor.authorBallantine, Kyle
dc.contributor.authorMazilu, Michael
dc.contributor.editorGalvez, Enrique J.
dc.contributor.editorAndrews, David L.
dc.contributor.editorGluckstad, Jesper
dc.date.accessioned2019-08-01T11:30:04Z
dc.date.available2019-08-01T11:30:04Z
dc.date.issued2019-03-01
dc.identifier257544061
dc.identifierd04df249-9dfe-4c54-a70b-db7d7e67e64b
dc.identifier85064879759
dc.identifier000466482300015
dc.identifier.citationBallantine , K & Mazilu , M 2019 , Optical eigenmode description of single-photon light-matter interactions . in E J Galvez , D L Andrews & J Gluckstad (eds) , Complex Light and Optical Forces XIII . , 109351B , Proceedings of SPIE , vol. 10935 , SPIE , Bellingham, WA , Complex Light and Optical Forces XIII 2019 , San Francisco , California , United States , 5/02/19 . https://doi.org/10.1117/12.2508394en
dc.identifier.citationconferenceen
dc.identifier.isbn9781510625129
dc.identifier.isbn9781510625129
dc.identifier.issn0277-786X
dc.identifier.urihttps://hdl.handle.net/10023/18229
dc.description.abstractWhen light scatters from an object, it can impart some physical quantity such as momentum or angular momentum. This can act as a measurement on the photon, which collapses on to an eigenstate of the measurement operator. However the corresponding operator is not the same as that describing the total linear or angular momentum in free space. Optical eigenmodes provide a powerful method to describe this interaction by expanding the field as a linear combination of some basis modes and examining the eigenvalues and eigenvectors of the quadratic measure in question. We extend this to the quantum case by writing the quantum operator corresponding to a given measurement such as energy, momentum or angular momentum as a superposition of creation and annihilation operators for each eigenmode. Upon measurement we find that the possible states of a single photon are simply the classical eigenmodes of the measurement. As an application, we examine the force and torque on a general, possibly anisotropic, material. By looking at eigenvalues of the measurement operator we show that the amount of a given quantity transferred in an interaction with matter is not in general the expected amount which a photon carries in free space, even at the single photon level. In particular the difference in linear or angular momentum from before and after is in general not equal to ∼k or ∼ which are the eigenvalues of these quantities in free space.
dc.format.extent7
dc.format.extent1945557
dc.language.isoeng
dc.publisherSPIE
dc.relation.ispartofComplex Light and Optical Forces XIIIen
dc.relation.ispartofseriesProceedings of SPIEen
dc.subjectComputer Science Applicationsen
dc.subjectElectrical and Electronic Engineeringen
dc.subjectElectronic, Optical and Magnetic Materialsen
dc.subjectApplied Mathematicsen
dc.subjectCondensed Matter Physicsen
dc.subjectNDASen
dc.titleOptical eigenmode description of single-photon light-matter interactionsen
dc.typeConference itemen
dc.contributor.sponsorEPSRCen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Centre for Biophotonicsen
dc.identifier.doi10.1117/12.2508394
dc.identifier.grantnumberEP/M000869/1en


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