title: Wave kinetics of random fibre lasers.
abstract: Traditional wave kinetics describes the slow evolution of systems with many degrees of freedom to equilibrium via numerous weak non-linear interactions and fails for very important class of dissipative (active) optical systems with cyclic gain and losses, such as lasers with non-linear intracavity dynamics. Here we introduce a conceptually new class of cyclic wave systems, characterized by non-uniform double-scale dynamics with strong periodic changes of the energy spectrum and slow evolution from cycle to cycle to a statistically steady state. Taking a practically important example-random fibre laser-we show that a model describing such a system is close to integrable non-linear Schrödinger equation and needs a new formalism of wave kinetics, developed here. We derive a non-linear kinetic theory of the laser spectrum, generalizing the seminal linear model of Schawlow and Townes. Experimental results agree with our theory. The work has implications for describing kinetics of cyclical systems beyond photonics.
authors: Aston Institute of Photonic Technologies, Aston University, Birmingham, B4 7ET, UK. d.churkin@aston.ac.uk.|Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia. d.churkin@aston.ac.uk.|Novosibirsk State University, Novosibirsk, 630090, Russia. d.churkin@aston.ac.uk.
authors: D V
authors: DV
authors: Churkin
authors: Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, 142432, Russia.|Moscow Institute of Physics and Technology, Dolgoprudny, 141700, Russia.
authors: I V
authors: IV
authors: Kolokolov
authors: Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia.|Novosibirsk State University, Novosibirsk, 630090, Russia.
authors: E V
authors: EV
authors: Podivilov
authors: Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia.|Novosibirsk State University, Novosibirsk, 630090, Russia.
authors: I D
authors: ID
authors: Vatnik
authors: Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia.
authors: M A
authors: MA
authors: Nikulin
authors: Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, 142432, Russia.|Moscow Institute of Physics and Technology, Dolgoprudny, 141700, Russia.
authors: S S
authors: SS
authors: Vergeles
authors: Novosibirsk State University, Novosibirsk, 630090, Russia.|The Budker Institute of Nuclear Physics, Novosibirsk, 630090, Russia.
authors: I S
authors: IS
authors: Terekhov
authors: Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, 142432, Russia.|Moscow Institute of Physics and Technology, Dolgoprudny, 141700, Russia.
authors: V V
authors: VV
authors: Lebedev
authors: Weizmann Institute of Science, Rehovot, 76100, Israel.|Institute for Information Transmission Problems, Moscow, 127994, Russia.
authors: G
authors: G
authors: Falkovich
authors: Institute of Automation and Electrometry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia.|Novosibirsk State University, Novosibirsk, 630090, Russia.
authors: S A
authors: SA
authors: Babin
authors: Aston Institute of Photonic Technologies, Aston University, Birmingham, B4 7ET, UK.|Novosibirsk State University, Novosibirsk, 630090, Russia.
authors: S K
authors: SK
authors: Turitsyn
references: Opt Express. 2013 Sep 9;21(18):21236-41
references: 24103997
references: Science. 2008 May 2;320(5876):643-6
references: 18451297
references: Nat Commun. 2013;4:1740
references: 23612281
references: Nat Commun. 2014;5:4356
references: 25014073
references: Nature. 2007 Dec 13;450(7172):1054-7
references: 18075587
references: Sci Rep. 2012;2:882
references: 23193436