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Numerical modelling of spectral,temporal and statistical properties of Raman fiber lasers
Authors:DV Churkin  SV Smirnov
Institution:1. International Collaborative Laboratory of 2D Materials for Optoelectronics Science and Technology of Ministry of Education, Institute of Microscale Optoelectronics, Shenzhen University, Shenzhen 518060, China;2. Fiber Optics Research Centre, School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China;3. Aston Institute of Photonic Technologies, Aston University, Birmingham B4 7ET, United Kingdom;4. Physics Department, Universidade Federal of Pernambuco, Cidade Universitaria, Recife, PE 50670-901, Brazil
Abstract:Efficient numerical modelling of the power, spectral and statistical properties of partially coherent quasi-CW Raman fiber laser radiation is presented. XPM between pump wave and generated Stokes wave is not important in the generation spectrum broadening and XPM term can be omitted in propagation equation what sufficiently speeds-up simulations. The time dynamics of Raman fiber laser (RFL) is stochastic exhibiting events several times more intense that the mean value on the ps timescale. However, the RFL has different statistical properties on different time scales. The probability density function of spectral power density is exponential for the generation modes located either in the spectrum centre or spectral wings while the phases are distributed uniformly. The pump wave preserves the initial Gaussian statistics during propagation in the laser cavity. Intense pulses in the pump wave are evolved under the SPM influence and are not disturbed by the dispersion. Contrarily, in the generated wave the dispersion plays a significant role that results in stochastic behavior.
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