Characterization of coherent structures in dissipative systems using nonlinear Fourier transform

I. S. Chekhovskoy; O. V. Shtyrina; M. P. Fedoruk; S. B. Medvedev; S. K. Turitsyn

doi:10.1117/12.2555076

1 April 2020 Characterization of coherent structures in dissipative systems using nonlinear Fourier transform

I. S. Chekhovskoy, O. V. Shtyrina, M. P. Fedoruk, S. B. Medvedev, S. K. Turitsyn

Proceedings Volume 11358, Nonlinear Optics and its Applications 2020; 113581B (2020) https://doi.org/10.1117/12.2555076
Event: SPIE Photonics Europe, 2020, Online Only

Abstract

We demonstrated how the nonlinear Fourier transform based on the Zakharov-Shabat spectral problem can be used to characterise coherent structures in dissipative systems. We consider as a particular, albeit important practical example model equation that is widely used to analyse laser radiation and demonstrate that dissipative solitons can be described by a limited number of degrees of freedom { discrete eigenvalues. Our approach can be applied for signal processing in a number of optical systems, from lasers to micro-resonators.

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Citation Download Citation

I. S. Chekhovskoy, O. V. Shtyrina, M. P. Fedoruk, S. B. Medvedev, and S. K. Turitsyn "Characterization of coherent structures in dissipative systems using nonlinear Fourier transform", Proc. SPIE 11358, Nonlinear Optics and its Applications 2020, 113581B (1 April 2020); https://doi.org/10.1117/12.2555076

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