Mathematical analysis of adaptive step-size techniques when solving the nonlinear Schrödinger equation for simulating light-wave propagation in optical fibers-Reference-Cited by-同舟云学术

Mathematical analysis of adaptive step-size techniques when solving the nonlinear Schrödinger equation for simulating light-wave propagation in optical fibers

Published:2014-10 Issue: Volume:329 Page:1-9
ISSN:0030-4018
Container-title:Optics Communications
language:en
Short-container-title:Optics Communications

Author:

Balac Stéphane,Fernandez Arnaud

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Physical and Theoretical Chemistry,Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

Reference28 articles.

1. Nonlinear Fiber Optics;Agrawal,2001

2. S. Balac, A. Fernandez, F. Mahé, F. Méhats, R. Texier-Picard, The Interaction Picture Method for Solving the Nonlinear Schrödinger Equation in Optics, Technical Report, HAL CNRS (http://hal.archives-ouvertes.fr/hal-00850518), 2013 (SIAM J. Numer. Anal. 2014, submitted publication).

3. Embedded Runge–Kutta scheme for step-size control in the interaction picture method

4. S. Balac, F. Mahé, An Embedded Split-Step method for Solving the Nonlinear Schrodinger Equation in Optics, Technical Report, HAL CNRS (http://hal.archives-ouvertes.fr/hal-00921656), 2013 (J. Comput. Phys. 2014, submitted for publication).

5. Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. CUDA-based optical parametric oscillator simulator;Computer Physics Communications;2024-01

2. Comparison of high-order Eulerian methods for electron hybrid model;Journal of Computational Physics;2022-02

3. Overcoming gas ionization limitations with divided-pulse nonlinear compression;Optics Express;2020-10-08

4. Efficient Computation of the Nonlinear Schrödinger Equation with Time-Dependent Coefficients;Mathematics;2020-03-07

5. On the efficiency of different numerical methods for the calculation of intrapulse Raman scattering of optical solitons;Optical and Quantum Electronics;2019-08