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Optical Kinetic Theory of Nonlinear Multi-mode Photonic Networks

2023/10/25 by Arkady Kurnosov, Lucas J. Fernández-Alcázar, Kurnosov, Arkady +7 · 5 citations
Computer Science · Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Applied Physics (physics.app-ph) #FOS: Physical sciences #Neural Networks and Reservoir Computing #Optics (physics.optics) #Photonic and Optical Devices

paper · pdf · doi:10.48550/arxiv.2310.16784

openalex publication_date 2023/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recent experimental developments in multimode nonlinear photonic circuits (MMNPC), have motivated the development of an optical thermodynamic theory that describes the equilibrium properties of an initial beam excitation. However, a non-equilibrium transport theory for these systems, when they are in contact with thermal reservoirs, is still \it terra incognita. Here, by combining Landauer and kinematics formalisms we develop a one-parameter scaling theory that describes the transport in one-dimensional MMNPCs from a ballistic to a diffusive regime. We also derive a photonic version of the Wiedemann -Franz law that connects the thermal and power conductivities. Our work paves the way toward a fundamental understanding of the transport properties of MMNPC and may be useful for the design of all-optical cooling protocols.

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