Controlling Optical Beam Thermalization via Band-Gap Engineering

Abstract

We establish dispersion engineering rules that allow us to control the thermalization process and the thermal state of an initial beam propagating in a multimode nonlinear photonic circuit. To this end, we have implemented a kinetic equation (KE) approach in systems whose Bloch dispersion relation exhibits bands and gaps. When the ratio between the gap-width to the band-width is larger than a critical value, the KE has stationary solutions which differ from the standard Rayleigh-Jeans (RJ) distribution. The theory also predicts the relaxation times above which such non-conventional thermal states occur. We have tested the validity of our results for the prototype SSH model whose connectivity between the composite elements allows to control the band-gap structure. These spectral engineering rules can be extended to more complex photonic networks that lack periodicity but their spectra consist of groups of modes that are separated by spectral gaps.

11 pages, 4 figures, 3 pages of supplementary material

References in corpus (15)

• Space Division Multiplexing in Optical Fibres
• Bose-Einstein condensation of photons in an optical microcavity
• Spatiotemporal mode-locking in multimode fiber lasers
• Spatial beam self-cleaning in multimode fiber
• Statistical mechanics of a nonlinear discrete system
• Thermodynamic theory of highly multimoded nonlinear optical systems
• Rayleigh-Jeans condensation of classical light : Observation and thermodynamic characterization
• Thermodynamic conditions governing the optical temperature and chemical potential in nonlinear highly multimoded photonic systems
• Spatial Beam Self-Cleaning and Supercontinuum Generation with Yb-doped Multimode Graded-Index Fiber Taper Based on Accelerating Self-Imaging and Dissipative Landscape
• Optical Phase Transitions in Photonic Networks: A Spin System Formulation
• Quantum fluctuations in Fröhlich condensate of molecular vibrations driven far from equilibrium
• Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos
• Thermalization of Strongly Disordered Nonlinear Chains
• Entropic thermodynamics of nonlinear photonic chain networks
• Fundamental entropic processes in the theory of optical thermodynamics

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• Thermalization of the Ablowitz-Ladik lattice in the presence of non-integrable perturbations
• Coherence properties of light in highly multimoded nonlinear parabolic fibers under optical equilibrium conditions
• Universal Routing of Light via Optical Thermodynamics
• Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices