期刊
NATURE COMMUNICATIONS
卷 6, 期 -, 页码 -出版社
NATURE PORTFOLIO
DOI: 10.1038/ncomms7214
关键词
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资金
- ERC
- Marie Curie Program IRSES
- Ministry of Education and Science of the Russian Federation [14.B25.31.0003]
- BSF
- Minerva Foundation
- Dynasty Foundation
- Russian Science Foundation [14-22-00118, 14-22-00259]
- Russian Science Foundation [14-22-00259, 14-22-00118] Funding Source: Russian Science Foundation
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 Schrodinger 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.
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