Search results for " Nonlinear"

showing 10 items of 1224 documents

Diffusion effects in a nonlinear electrical lattice

1998

International audience; We consider a nonlinear electrical network modeling the generalized Nagumo equation. Focusing on the particular case where the initial load of the lattice consists in the superimposition of a coherent information weakly varying in space and a perturbation of small amplitude, we show that the perturbation can be eliminated quickly, almost without disturbing the information.

Physics[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image ProcessingMathematical analysisPerturbation (astronomy)Coherent information[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processingSmall amplitude01 natural sciences010305 fluids & plasmaslaw.inventionNonlinear system[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS][INFO.INFO-TS]Computer Science [cs]/Signal and Image ProcessinglawLattice (order)Electrical network0103 physical sciencesInitial loadSuperimposition[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physics[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
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STABILITY AND SPECTRA OF SMALL 3He-4He CLUSTERS

2005

Diffusion Monte Carlo calculations have been systematically performed to analyze the stability of small mixed 3 He -4 He clusters, as well as their excitation spectra. The picture that emerges is that of systems with strong shell effects whose binding and excitation energies are essentially determined by the monopole properties of an effective Hamiltonian.

Physics[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]Excitation spectraMagnetic monopolechemistry.chemical_elementStatistical and Nonlinear PhysicsCondensed Matter Physics01 natural sciencesSpectral line010305 fluids & plasmassymbols.namesakechemistry0103 physical sciencessymbolsDiffusion Monte CarloAtomic physics010306 general physicsHamiltonian (quantum mechanics)Mixed Helium clustersExcitationHeliumRecent Progress in Many-Body Theories
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Optical flip-flop memory and data packet switching operation based on polarization bistability in a telecommunication optical fiber

2013

We report the experimental observation of bistability and hysteresis phenomena of the polarization signal in a telecommunication optical fiber. This process occurs in a counterpropagating configuration in which the optical beam nonlinearly interacts with its own Bragg-reflected replica at the fiber output. The proof of principle of optical flip–flop memory and 10  Gbit/s routing operation is also reported based on this polarization bistability. Finally, we also provide a general physical understanding of this behavior on the basis of a geometrical analysis of an effective model of the dynamics. Good quantitative agreement between theory and experiment is obtained.

Physics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics]Multi-mode optical fiber[ PHYS.PHYS.PHYS-OPTICS ] Physics [physics]/Physics [physics]/Optics [physics.optics]Bistabilitybusiness.industryOptical cross-connectSingle-mode optical fiberPhysics::OpticsStatistical and Nonlinear PhysicsPolarization-maintaining optical fiberOptical performance monitoring01 natural sciencesOptical switchAtomic and Molecular Physics and Optics010309 opticsOptics0103 physical sciencesFiber optic splitterOptoelectronics010306 general physicsTelecommunicationsbusinessComputingMilieux_MISCELLANEOUS
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Spatiotemporal light-beam compression from nonlinear mode coupling

2017

We experimentally demonstrate simultaneous spatial and temporal compression in the propagation of light pulses in multimode nonlinear optical fibers. We reveal that the spatial beam self-cleaning recently discovered in graded-index multimode fibers is accompanied by significant temporal reshaping and up to four-fold shortening of the injected sub-nanosecond laser pulses. Since the nonlinear coupling among the modes strongly depends on the instantaneous power, we explore the entire range of the nonlinear dynamics with a single optical pulse, where the optical power is continuously varied across the pulse profile.

Physics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics]Multi-mode optical fiberbusiness.industryPhysics::OpticsFOS: Physical sciencesOptical powerLaser pulses; multimode fibers; nonlinear optics; optical fibersLaser01 natural sciencesPulse (physics)law.invention010309 opticsNonlinear systemOpticslaw0103 physical sciencesMode couplingLight beam010306 general physicsbusinessBeam (structure)ComputingMilieux_MISCELLANEOUSPhysics - OpticsOptics (physics.optics)
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Photon bunching of the nonlinear photoluminescence emitted by plasmonics metals

2021

International audience; In this report, we investigate the statistical temporal distribution of nonlinear upconverted photoluminescence emitted by gold and silver nanostructures excited by focused near-infrared laser pulses. We systematically observe a clear signature of photon bunching regardless of the nano-object's geometry, material's crystalline arrangement, and electronic band structure. The similarity of the data obtained across very different plasmonic objects confirms that these types of nonlinear radiation share a common chaotic origin and result from a collection of emitters. The correlation of photons at a picosecond time scale released by nanoscale nonlinear sources of broadban…

Physics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics]PhotonPhotoluminescencebusiness.industrySurface plasmonPhysics::OpticsStatistical and Nonlinear PhysicsLaser01 natural sciencesElectromagnetic radiationAtomic and Molecular Physics and Opticslaw.invention010309 opticslawPicosecond0103 physical sciencesOptoelectronics[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]businessElectronic band structurePlasmon
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The nonlinear Schrodinger equation and the propagation of weakly nonlinear waves in optical fibres and on the water surface

2015

International audience; The dynamics of waves in weakly nonlinear dispersive media can be described by the nonlinear Schrödinger equation (NLSE). An important feature of the equation is that it can be derived in a number of different physical contexts; therefore, analogies between different fields, such as for example fiber optics, water waves, plasma waves and Bose–Einstein condensates, can be established. Here, we investigate the similarities between wave propagation in optical Kerr media and water waves. In particular, we discuss the modulation instability (MI) in both media. In analogy to the water wave problem, we derive for Kerr-media the Benjamin–Feir index, i.e. a nondimensional par…

Physics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics][ PHYS.PHYS.PHYS-OPTICS ] Physics [physics]/Physics [physics]/Optics [physics.optics]Electromagnetic wavesWave propagationPhysics::OpticsGeneral Physics and AstronomyBenjamin-Feir index; Electromagnetic waves; Nonlinear Schrödinger equation; Water waves; Physics and Astronomy (all)Wave equationBenjamin-Feir indexWater wavesPhysics and Astronomy (all)Modulational instabilitysymbols.namesakeClassical mechanicsSurface waveNonlinear Schrödinger equationsymbolsDispersion (water waves)Mechanical waveNonlinear Schrödinger equationNonlinear Sciences::Pattern Formation and SolitonsLongitudinal wave
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Optical wave turbulence: Toward a unified nonequilibrium thermodynamic formulation of statistical nonlinear optics

2014

International audience; The nonlinear propagation of coherent optical fields has been extensively explored in the framework of nonlinear optics, while the linear propagation of incoherent fields has been widely studied in the framework of statistical optics. However, these two fundamental fields of optics have been mostly developed independently of each other, so that a satisfactory understanding of statistical nonlinear optics is still lacking. This article is aimed at reviewing a unified theoretical formulation of statistical nonlinear optics on the basis of the wave turbulence theory, which provides a nonequilibrium thermodynamic description of the system of incoherent nonlinear waves. W…

Physics[PHYS]Physics [physics]NLS equation[ PHYS ] Physics [physics]Thermalization and condensationWave turbulencestatistical opticsVlasov equationIncoherent scatterGeneral Physics and AstronomyNonlinear opticsIncoherent solitons[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]Nonlinear systemsymbols.namesakeModulational instabilityClassical mechanics[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]symbols[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]SolitonNonlinear Schrödinger equation[ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR]
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Transition cancellations of 87Rb and 85Rb atoms in a magnetic field

2020

We have analyzed the magnetic field dependencies of the intensities of all the optical transitions between magnetic sublevels of hyperfine levels, excited with σ + , π , and σ − polarized light, for the D 1 and D 2 lines of 87 R b and 85 R b atoms. Depending on the type of transition and the quantum numbers of the involved levels, the Hamiltonian matrices are of 1 × 1 , 2 × 2 , 3 × 3 , or 4 × 4 dimension. As an example, analytical expressions are presented for the case of 2 × 2 dimension matrices for the D 1 line of both isotopes. Eigenvalues and eigenkets are given, and the expression for the transition intensity as a function of B has been determined. It is found that some π transitions o…

Physics[PHYS]Physics [physics]Statistical and Nonlinear PhysicsQuantum number01 natural sciencesAtomic and Molecular Physics and OpticsMagnetic field010309 opticssymbols.namesakeExcited state0103 physical sciencessymbolsAtomic physicsHamiltonian (quantum mechanics)SpectroscopyHyperfine structureEigenvalues and eigenvectorsComputingMilieux_MISCELLANEOUSPhysical quantity
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Chaotic-like behavior of modulated waves in a nonlinear discrete LC transmission line

2003

International audience; Modulational instability (MI) in a discrete nonlinear LC transmission line is investigated. The higher order nonlinear Schrodinger (NLS) equation modeling modulated waves propagation in the network allows to predict the MI conditions, with additional features, compared to the standard NLS model. More precisely, a chaotic-like behavior of the system, which is observed in a particular frequency domain, is related to the nonrepeatability of the numerical experiments.

Physicsbusiness.industryGeneral MathematicsApplied MathematicsMathematical analysisChaoticGeneral Physics and AstronomyOrder (ring theory)Statistical and Nonlinear Physics01 natural sciences010305 fluids & plasmassymbols.namesakeModulational instabilityNonlinear systemOptics[NLIN.NLIN-PS]Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]Transmission lineFrequency domain0103 physical sciencessymbols[ NLIN.NLIN-PS ] Nonlinear Sciences [physics]/Pattern Formation and Solitons [nlin.PS]010306 general physicsbusinessNonlinear Sciences::Pattern Formation and SolitonsSchrödinger's cat
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Multi-frequency super-scattering from sub-wavelength graphene-coated nanotubes

2019

A cylindrical multilayered structure with three coupled graphene shells is shown to behave as a dual-band super-scatterer at mid-infrared frequencies. Under the 2D plasmonic nature of graphene material, multiple scattering resonances are attained in the deep subwavelength regime using an isotropic material. In the proposed structure, we efficiently exploit the existing three plasmonic resonances in each scattering channel. These resonances are tailored by dispersion engineering, which is simply displayed through the Bohr model applied to the associated planar structure. For the super-scatterer design, it is essential that the resonances of multiple channels coincide in a single frequency. H…

Physicsbusiness.industryGrapheneScatteringPhysics::OpticsCloakingStatistical and Nonlinear Physics01 natural sciencesAtomic and Molecular Physics and Opticslaw.invention010309 opticsDipoleScattering channelPlanarlaw0103 physical sciencesOptoelectronicsReflection coefficientbusinessPlasmonJournal of the Optical Society of America B
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