Description of dispersive wave emission and supercontinuum generation in silicon waveguides using split-step Fourier and Runge-Kutta integration methods
DOI10.1155/2014/180656zbMath1302.78025OpenAlexW1993503930WikidataQ59045849 ScholiaQ59045849MaRDI QIDQ2248340
Publication date: 26 June 2014
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/180656
NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Cites Work
- Optimizing initial chirp for efficient femtosecond wavelength conversion in silicon waveguide by split-step Fourier method
- A precise Runge-Kutta integration and its application for solving nonlinear dynamical systems
- Stability analysis of Runge-Kutta methods for unbounded retarded differential equations with piecewise continuous arguments
- Parallel split-step Fourier methods for nonlinear Schrödinger-type equations
- Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
- An efficient implicit Runge-Kutta method for second order systems
- Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
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