Search results for "Ultraviolet catastrophe"

showing 2 items of 2 documents

Truncated thermalization of incoherent optical waves through supercontinuum generation in photonic crystal fibers

2013

We revisit the process of optical wave thermalization through supercontinuum generation in photonic crystal fibers. We report theoretically and numerically a phenomenon of `truncated thermalization': The incoherent optical wave exhibits an irreversible evolution toward a Rayleigh-Jeans thermodynamic equilibrium state characterized by a compactly supported spectral shape. The theory then reveals the existence of a frequency cut-off which regularizes the ultraviolet catastrophe inherent to ensembles of classical nonlinear waves. This phenomenon sheds new light on the mechanisms underlying the formation of bounded supercontinuum spectra in photonic crystal fibers.

PhysicsSpectral shape analysisbusiness.industryThermodynamic equilibriumComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSPhysics::Optics01 natural sciencesMolecular physicsAtomic and Molecular Physics and OpticsSpectral lineSupercontinuum010309 optics[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemThermalisationOptics0103 physical sciences010306 general physicsbusinessGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)[ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]ComputingMilieux_MISCELLANEOUSUltraviolet catastrophePhotonic-crystal fiberMathematicsofComputing_DISCRETEMATHEMATICS
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Condensation and thermalization of classsical optical waves in a waveguide

2011

http://pra.aps.org/; International audience; We consider the long-term evolution of a random nonlinear wave that propagates in a multimode optical waveguide. The optical wave exhibits a thermalization process characterized by an irreversible evolution toward an equilibrium state. The tails of the equilibrium distribution satisfy the property of energy equipartition among the modes of the waveguide. As a consequence of this thermalization, the optical field undergoes a process of classical wave condensation, which is characterized by a macroscopic occupation of the fundamental mode of the waveguide. Considering the nonlinear Schrödinger equation with a confining potential, we formulate a wav…

Physics::OpticsOptical field01 natural sciencesWaveguide (optics)Electromagnetic radiationoptical instabilitiesSchrödinger equation010309 opticssymbols.namesakeand lossesQuantum mechanics0103 physical sciencesDynamics of nonlinear optical systemssolitons010306 general physicsPropagationGeneralLiterature_REFERENCE(e.g.dictionariesencyclopediasglossaries)ComputingMilieux_MISCELLANEOUSUltraviolet catastrophePhysics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics][ PHYS.PHYS.PHYS-OPTICS ] Physics [physics]/Physics [physics]/Optics [physics.optics]and optical spatio-temporal dynamicsscatteringComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSWave equationAtomic and Molecular Physics and Optics[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]ThermalisationCross-polarized wave generationsymbolsoptical chaos and complexityMathematicsofComputing_DISCRETEMATHEMATICS
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