Some results on discrete eigenvalues for the Stochastic Nonlinear Schroedinger Equation in fiber optics
| Autor: | Luigi Barletti, Laura Prati |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Optical fiber
FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) 02 engineering and technology Solitons 01 natural sciences Fiber Optics Industrial and Manufacturing Engineering law.invention Nonlinear Fourier Transform symbols.namesake 020210 optoelectronics & photonics law 0103 physical sciences 0202 electrical engineering electronic engineering information engineering 010306 general physics Nonlinear Schrödinger equation Eigenvalues and eigenvectors Mathematical Physics Physics lcsh:T57-57.97 Applied Mathematics Eigenvalues Mathematical Physics (math-ph) Nonlinear Sciences - Pattern Formation and Solitons Stochastic Nonlinear Schrödinger Equation Perturbation Classical mechanics lcsh:Applied mathematics. Quantitative methods symbols |
| Zdroj: | Communications in Applied and Industrial Mathematics, Vol 9, Iss 1, Pp 87-103 (2018) |
| Popis: | We study a stochastic Nonlinear Schrödinger Equation (NLSE), with additive white Gaussian noise, by means of the Nonlinear Fourier Transform (NFT). In particular, we focus on the propagation of discrete eigenvalues along a focusing fiber. Since the stochastic NLSE is not exactly integrable by means of the NFT, then we use a perturbation approach, where we assume that the signal-to-noise ratio is high. The zeroth-order perturbation leads to the deterministic NLSE while the first-order perturbation allows to describe the statistics of the discrete eigenvalues. This is important to understand the properties of the channel for recently devised optical transmission techniques, where the information is encoded in the nonlinear Fourier spectrum. |
| Databáze: | OpenAIRE |
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