TY - JOUR

T1 - Analysis of laser radiation using the Nonlinear Fourier transform

AU - Sugavanam, Srikanth

AU - Kopae, Morteza Kamalian

AU - Peng, Junsong

AU - Prilepsky, Jaroslaw E.

AU - Turitsyn, Sergei K.

PY - 2019/12/11

Y1 - 2019/12/11

N2 - Modern 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.

AB - Modern 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.

KW - SINGLE-SHOT

KW - DISSIPATIVE SOLITONS

KW - ROGUE WAVES

KW - FIBER

KW - DYNAMICS

KW - GENERATION

KW - TURBULENCE

KW - AMPLITUDE

KW - EVENTS

KW - PHASE

UR - http://www.scopus.com/inward/record.url?scp=85076428485&partnerID=8YFLogxK

U2 - 10.1038/s41467-019-13265-4

DO - 10.1038/s41467-019-13265-4

M3 - Article

C2 - 31827094

AN - SCOPUS:85076428485

VL - 10

JO - Nature Communications

JF - Nature Communications

SN - 2041-1723

IS - 1

M1 - 5663

ER -