Simulation Results of Optical Pulse Nonlinear Few-Mode Propagation Over Optical Fiber

Burdin, Vladimir A.

doi:10.15593/2411-4367/2016.03.06

Cited by 4 publications

(13 citation statements)

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“…Table 1 shows this type of optical fiber's main characteristics according to the specification [67]. As in [52,53], what calculated the characteristics of the "fast" mode as for an axisymmetric step-index fiber with a refractive index profile plotted along the "fast" axis of the optical fiber. The characteristics of the "slow" mode were determined as follows.…”

Section: Compare Simulation Results With Experimental Datamentioning

confidence: 99%

“…The use of SSFM for the GNLSE solution becomes significantly more complicated than for the usual NLSE, since the nonlinear operator of GNLSE includes the derivatives of the complex amplitude and its functions in time. All of this stimulates interest in the development of algorithms for modeling the propagation of ultrashort optical pulses in optical fibers based on the direct solutions to Maxwell's equations, by the finite difference time domain method (FDTD) [40][41][42][43][44][45][46], GNLSE solutions by finite-difference methods [22,23,38,[47][48][49][50], and, of course, based on GNLSE solutions using improved SSFM algorithms [51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

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Algorithm for Solving a System of Coupled Nonlinear Schrödinger Equations by the Split-Step Method to Describe the Evolution of a High-Power Femtosecond Optical Pulse in an Optical Polarization Maintaining Fiber

Bourdine

Burdin

Morozov

2022

Fibers

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This article proposes an advanced algorithm for the numerical solution of a coupled nonlinear Schrödinger equations system describing the evolution of a high-power femtosecond optical pulse in a single-mode polarization-maintaining optical fiber. We use the algorithm based on a variant of the split-step method with the Madelung transform to calculate the complex amplitude when executing a nonlinear operator. In contrast to the known solution, the proposed algorithm eliminates the need to numerically solve differential equations directly, concerning the phase of complex amplitude when executing the nonlinear operator. This made it possible, other things being equal, to reduce the computation time by more than four times.

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Section: Compare Simulation Results With Experimental Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Algorithm for Solving a System of Coupled Nonlinear Schrödinger Equations by the Split-Step Method to Describe the Evolution of a High-Power Femtosecond Optical Pulse in an Optical Polarization Maintaining Fiber

Bourdine

Burdin

Morozov

2022

Fibers

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“…The ultra-short pulse evolution in fiber with third-order dispersion and Raman scattering is described by complete coupled nonlinear Schrödinger equations system. The values from [8][9][10][11][12][13][14][15], which were used in their experiment, were taken as: (wavelength 798 nm). The single chirped Gauss pulse is in the input fiber end (chirp С  -0.4579), pulse duration is 12 fs, with maximum power P  1.7510 5 W. The pulse form is described as:…”

Section: The Ultra-short Pulse Evolution In Fibermentioning

confidence: 99%

“…The pulse form evolution in fiber. Numerical calculation results of coupled nonlinear Schrödinger equations system are marked by the red line and the experimental results obtained by [8][9][10][11][12][13][14][15] are marked by the blue line.…”

Section: The Ultra-short Pulse Evolution In Fibermentioning

confidence: 99%

Numerical Method for Coupled Nonlinear Schrödinger Equations in Few Mode Fiber

Anfinogentov¹,

Morozov²,

Burdin³

et al. 2020

Preprint

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This paper discusses approaches to the numerical integration of the coupled nonlinear Schrödinger equations system in case of few-mode wave propagation. The wave propagation assumes the propagation of up to nine modes of light in an optical fiber. In this case, the light propagation is described by the non-linear coupled Schrödinger equation system, where propagation of each mode is described by own Schrödinger equation with other modes interactions. In this case, the non-linear coupled Schrödinger equation system solving becomes increasingly complex, because each mode affects the propagation of other modes. The suggested solution is based on the direct numerical integration approach, which is based on a finite-difference integration scheme. The well-known explicit finite-difference integration scheme approach fails, due to the non-stability of the computing scheme. Due to this fact, the combined explicit/implicit finite-difference integration scheme, based on the implicit Crank–Nicolson finite-difference scheme, is used. It allows ensuring the stability of the computing scheme. Moreover, this approach allows separating the whole equation system on the independent equation system for each wave mode at each integration step. Additionally, the algorithm of numerical solution refining at each step and the integration method with automatic integration step selection are used. The suggested approach has performance gains (or resolutions) up to three or more orders of magnitude in comparison with the split-step Fourier method due to the fact that there is no need to produce direct and inverse Fourier transforms at each integration step. The main advantage of the proposed method is the ability to calculate the propagation of an arbitrary number of modes in the fiber.

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“…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%

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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Simulation Results of Optical Pulse Nonlinear Few-Mode Propagation Over Optical Fiber

Cited by 4 publications

References 0 publications

Algorithm for Solving a System of Coupled Nonlinear Schrödinger Equations by the Split-Step Method to Describe the Evolution of a High-Power Femtosecond Optical Pulse in an Optical Polarization Maintaining Fiber

Algorithm for Solving a System of Coupled Nonlinear Schrödinger Equations by the Split-Step Method to Describe the Evolution of a High-Power Femtosecond Optical Pulse in an Optical Polarization Maintaining Fiber

Numerical Method for Coupled Nonlinear Schrödinger Equations in Few Mode Fiber

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

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