Original Solution of Coupled Nonlinear Schrödinger Equations for Simulation of Ultrashort Optical Pulse Propagation in a Birefringent Fiber
| Autor: | Oleg G. Morozov, Vladimir A. Burdin, Ildaris M. Gabdulkhakov, A. Kuznetsov, Vladimir I. Anfinogentov, Airat Zhavdatovich Sakhabutdinov, Anton V. Bourdine |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Raman scattering
Computer science Inverse 02 engineering and technology birefringent fiber nonlinear Schrödinger equations system Schrödinger equation Biomaterials symbols.namesake 020210 optoelectronics & photonics Kerr effect lcsh:TP890-933 implicit/explicit Crank–Nicolson scheme lcsh:TP200-248 Dispersion (optics) 0202 electrical engineering electronic engineering information engineering Applied mathematics lcsh:QH301-705.5 Civil and Structural Engineering Fiber (mathematics) lcsh:Chemicals: Manufacture use etc Mathematics::Spectral Theory 021001 nanoscience & nanotechnology lcsh:QC1-999 Numerical integration few-mode propagation Nonlinear system Fourier transform lcsh:Biology (General) Orders of magnitude (time) Mechanics of Materials Ceramics and Composites symbols lcsh:Textile bleaching dyeing printing etc dispersion 0210 nano-technology lcsh:Physics |
| Zdroj: | Fibers Volume 8 Issue 6 Fibers, Vol 8, Iss 34, p 34 (2020) |
| ISSN: | 2079-6439 |
| DOI: | 10.3390/fib8060034 |
| Popis: | This paper discusses approaches to the numerical integration of the coupled nonlinear Schrö dinger equations system, different from the generally accepted approach based on the method of splitting according to physical processes. A combined explicit/implicit finite-difference integration scheme based on the implicit Crank&ndash Nicolson finite-difference scheme is proposed and substantiated. It allows the integration of a nonlinear system of equations with a choice of nonlinear terms from the previous integration step. The main advantages of the proposed method are: its absolute stability through the use of an implicit finite-difference integration scheme and an integrated mechanism for refining the numerical solution at each step integration with automatic step selection performance gains (or resolutions) up to three or more orders of magnitude due to the fact that there is no need to produce direct and inverse Fourier transforms at each integration step, as is required in the method of splitting according to physical processes. An additional advantage of the proposed method is the ability to calculate the interaction with an arbitrary number of propagation modes in the fiber. |
| Databáze: | OpenAIRE |
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