Nonlinear Fourier Transform enabled Eigenvalue spectrum investigation for fiber laser radiation

2021 ◽  
Author(s):  
Wang Yutian ◽  
Songnian Fu ◽  
jian kong ◽  
Andrey Komarov ◽  
Mariusz Klimczak ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Laser Radiation ◽  
Fiber Laser ◽  
Eigenvalue Spectrum ◽  
Nonlinear Fourier Transform ◽  
Spectrum Investigation

scholarly journals Author Correction: Analysis of laser radiation using the Nonlinear Fourier transform

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Srikanth Sugavanam ◽  
Morteza Kamalian Kopae ◽  
Junsong Peng ◽  
Jaroslaw E. Prilepsky ◽  
Sergei K. Turitsyn
Keyword(s):  
Fourier Transform ◽  
Laser Radiation ◽  
Nonlinear Fourier Transform

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

scholarly journals Analysis of laser radiation using the Nonlinear Fourier transform

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Srikanth Sugavanam ◽  
Morteza Kamalian Kopae ◽  
Junsong Peng ◽  
Jaroslaw E. Prilepsky ◽  
Sergei K. Turitsyn
Keyword(s):  
Fourier Transform ◽  
Laser Radiation ◽  
Coherent Structures ◽  
Probability Distributions ◽  
Fourier Method ◽  
Mathematical Methods ◽  
Dispersive Waves ◽  
Full Field ◽  
Rich Diversity ◽  
Nonlinear Fourier Transform

AbstractModern high-power lasers exhibit a rich diversity of nonlinear dynamics, often featuring nontrivial co-existence of linear dispersive waves and coherent structures. While the classical Fourier method adequately describes extended dispersive waves, the analysis of time-localised and/or non-stationary signals call for more nuanced approaches. Yet, mathematical methods that can be used for simultaneous characterisation of localized and extended fields are not yet well developed. Here, we demonstrate how the Nonlinear Fourier transform (NFT) based on the Zakharov-Shabat spectral problem can be applied as a signal processing tool for representation and analysis of coherent structures embedded into dispersive radiation. We use full-field, real-time experimental measurements of mode-locked pulses to compute the nonlinear pulse spectra. For the classification of lasing regimes, we present the concept of eigenvalue probability distributions. We present two field normalisation approaches, and show the NFT can yield an effective model of the laser radiation under appropriate signal normalisation conditions.

Isolating solitons from the resonant continuous wave by using nonlinear Fourier transform

2021 ◽  
Author(s):  
Yutian Wang ◽  
Songnian Fu ◽  
Chi Zhang ◽  
Xiahui Tang ◽  
Jian Kong ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Continuous Wave ◽  
Nonlinear Fourier Transform
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