Necessary conditions for a nonlinear few-mode excitation of modes in single-mode optical fiber

Burdin, Vladimir A.; Bourdine, Anton V.

doi:10.1117/12.2270635

Cited by 1 publication

(9 citation statements)

References 16 publications

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“…The computing results of the Manakov equations system task, received on the base of coupled nonlinear Schrödinger equations system, is shown in Figure 4a. These results coincide with our previous results [29][30][31]46] and other researchers` results [23][24][25][26][27][28]49].…”

Section: The Ultra-short Pulse Evolution In Fibersupporting

confidence: 93%

“…The obtained computing results are presented in Figure 3a. Its common character almost coincides with our previous results [29][30][31]46], and other authors' results [48].…”

Section: The Korteweg-de Vries and Linear Taskssupporting

confidence: 92%

“…The obtained computing results are presented in Figure 3a. Its common character almost coincides with our previous results [29][30][31]46], and other authors' results [48]. The computing results of the coupled Schrödinger equations system solution in its linear case (at γx = γy = 0) are shown in Figure 3b.…”

Section: The Korteweg-de Vries and Linear Taskssupporting

confidence: 89%

“…In other cases, the coupled nonlinear Schrödinger equations system can coincide with Korteweg-de Vries equation of waves on shallow water surfaces. The coupled Manakov equations system in multimode fibers with strongly (and weakly) coupled groups of modes is also a particular case of the coupled nonlinear Schrödinger equations system [29][30][31]46].…”

Section: Methods Verification On Some Classic Tasksmentioning

confidence: 99%

“…At the same time, the computing pulse form at the fiber end output differs from the pulse experimental form significantly. Later in [29][30][31] it was shown, that the main reason of such discrepancy was connected with the fact that the birefringent effects were not taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Original Solution of Coupled Nonlinear Schrödinger Equations for Simulation of Ultrashort Optical Pulse Propagation in a Birefringent Fiber

Sakhabutdinov

Anfinogentov

Morozov

et al. 2020

Fibers

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This paper discusses approaches to the numerical integration of the coupled nonlinear Schrödinger 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–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.

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Section: The Ultra-short Pulse Evolution In Fibersupporting

confidence: 93%

“…The obtained computing results are presented in Figure 3a. Its common character almost coincides with our previous results [29][30][31]46], and other authors' results [48].…”

Section: The Korteweg-de Vries and Linear Taskssupporting

confidence: 92%