Numerical Simulation of the Nonlinear Propagation of Ultrashort Pulses in Fiber Amplifiers Using Time-Frequency Representations

To predict the behavior of high power pulsed lasers, fine numerical simulations of nonlinear propagation of short chirped pulses in fiber amplifiers are needed. In particular, the gain used in the nonlinear Schrödinger equation (NLSE) should take into account the simultaneous dependence of the gain...

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Bibliographic Details
Published in:Journal of lightwave technology 2023-01, Vol.41 (1), p.314-319
Main Authors: Vanvincq, Olivier, Bouwmans, Geraud
Format: Article
Language:English
Subjects:
Amplification
Amplifiers
Chirp
Fiber lasers
Group delay
Mathematical models
nonlinear propagation
Optical fiber amplifier
Optical fiber amplifiers
Optical fiber dispersion
Optics
Physics
Pulse propagation
Pulsed lasers
reassigned spectrogram
Representations
Schrodinger equation
Simulation
Spectrogram
Time-frequency analysis
Ultrafast lasers
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Summary:To predict the behavior of high power pulsed lasers, fine numerical simulations of nonlinear propagation of short chirped pulses in fiber amplifiers are needed. In particular, the gain used in the nonlinear Schrödinger equation (NLSE) should take into account the simultaneous dependence of the gain with frequency (i.e. gain dispersion) and time (i.e. gain saturation). We propose here a method using a time-frequency representation (TFR) of the pulse to compute the gain that can be used in the NLSE. Basic TFRs can be computed by estimating the group delay or the instantaneous frequency of the pulse but the low numerical complexity of these methods introduce some limitations in term of cases that can be properly simulated. We show that the more time-consuming computation of the reassigned spectrogram (RS) of the pulse allows to obtain a gain more suitable for general cases than can be encountered in high energy ultrafast lasers.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2022.3212094