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.
|Journal||Proceedings of SPIE - The International Society for Optical Engineering|
|Publication status||Published - 1 Apr 2020|
|Event||Nonlinear Optics and its Applications 2020 - Virtual, Online, France|
Duration: 6 Apr 2020 → 10 Apr 2020
Bibliographical noteCopyright 2020 SPIE. One print or electronic copy may be made for personal use only. Systematic reproduction, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
- Cubic Ginzburg-Landau equation
- Dissipative systems
- Nonlinear Fourier transform
- Nonlinear Schrödinger equation
- Numerical simulations