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dc.contributor.advisorKoenig, Friedrich Ernst Wilhelm
dc.contributor.authorJacquet, Maxime J.
dc.coverage.spatial191, xxxii p.en_US
dc.description.abstractThis thesis considers the problem of calculating and observing the mixing of modes of positive and negative frequency in inhomogeneous, dispersive media. Scattering of vacuum modes of the electromagnetic field at a moving interface in the refractive index of a dielectric medium is discussed. Kinematics arguments are used to demonstrate that this interface may, in a regime of linear dispersion, act as the analogue of the event horizon of a black hole to modes of the field. Furthermore, a study of the dispersion of the dielectric shows that five distinct configurations of modes of the inhomogeneous medium at the interface exist as a function of frequency. Thus it is shown that the interface is simultaneously a black- and white-hole horizon-like and horizonless emitter. The role, and importance, of negative-frequency modes of the field in mode conversion at the horizon is established and yields a calculation of the spontaneous photonic flux at the interface. An algorithm to calculate the scattering of vacuum modes at the interface is introduced. Spectra of the photonic flux in the moving and laboratory frame, for all modes and all realisable increase in the refractive index at the interface are computed. As a result of the various mode configurations, the spectra are highly structured in intervals with black-hole, white-hole and no horizon. The spectra are dominated by a negative-frequency mode, which is the partner in any Hawking-type emission. An experiment in which an incoming positive-frequency wave is populated with photons is assembled to observe the transfer of energy to outgoing waves of positive and negative frequency at the horizon. The effect of mode conversion at the interface is clearly shown to be a feature of horizon physics. This is a classical version of the quantum experiment that aims at validating the mechanism of Hawking radiation.en_US
dc.publisherUniversity of St Andrews
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.subjectHawking radiationen_US
dc.subjectQuantum field theoryen_US
dc.subjectQuantum field theory in curved spacetimeen_US
dc.subjectGeneral relativityen_US
dc.subjectEvent horizonen_US
dc.subjectBlack holeen_US
dc.subjectFibre opticsen_US
dc.subjectNonlinear opticsen_US
dc.subjectNonlinear fibre opticsen_US
dc.subjectMathematical physicsen_US
dc.subjectExperimental physicsen_US
dc.subjectOptical horizonen_US
dc.subjectSpontaneous emission of light from the vacuumen_US
dc.subjectStimulated emissionen_US
dc.subjectQuantum physicsen_US
dc.subjectQuantum electrodynamicsen_US
dc.subjectExperimental quantum field physicsen_US
dc.subjectFew-cycle laser pulsesen_US
dc.subject.lcshQuantum field theoryen
dc.subject.lcshQuantum electrodynamicsen
dc.subject.lcshNonlinear opticsen
dc.subject.lcshFiber opticsen
dc.titleNegative frequency at the horizon : scattering of light at a refractive index fronten_US
dc.contributor.sponsorEngineering and Physical Sciences Research Council (EPSRC)en_US
dc.contributor.sponsorUniversity of St Andrews. 600th Anniversary Scholarshipen_US
dc.type.qualificationnamePhD Doctor of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US
dc.rights.embargoreasonThesis restricted in accordance with University regulations. Print and electronic copy restricted until 29th August 2021en

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