scholarly journals Description of Dispersive Wave Emission and Supercontinuum Generation in Silicon Waveguides Using Split-Step Fourier and Runge-Kutta Integration Methods

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Xuefeng Li
Keyword(s):  
Cherenkov Radiation ◽  
Supercontinuum Generation ◽  
High Order ◽  
Low Energy ◽  
Dispersive Wave ◽  
Integration Methods ◽  
Silicon Waveguides ◽  
Silicon Waveguide ◽  
Wave Emission ◽  
Runge Kutta

Based on solving numerically the generalized nonlinear Schrödinger equation describing the propagation of high order femtosecond soliton in silicon waveguide under certain parametric conditions by the split-step Fourier and Runge-Kutta integration methods, dispersive wave emission and supercontinuum generation in silicon waveguides are numerically investigated by propagating femtosecond solitons. The numerical results show that the efficient dispersive wave emission can be generated in silicon waveguide, which plays an important role in the process of the supercontinuum generation with the form of Cherenkov radiation, and it is also shown that the high order low-energy solitons and short waveguides are efficient for the dispersive wave emission.

Broadband Supercontinuum Generation in a Tapered-Rib Lead-Silicate Waveguide

2015 ◽  
Vol 24 (03n04) ◽  
pp. 1550009 ◽  
Author(s):  
Hongyu Hu ◽  
Wenbo Li ◽  
Xiang Zhang ◽  
Niloy K. Dutta
Keyword(s):  
Numerical Simulations ◽  
Matching Condition ◽  
Supercontinuum Generation ◽  
Phase Matching ◽  
Etch Depth ◽  
Lead Silicate ◽  
Dispersive Wave ◽  
Output Spectrum ◽  
Wave Emission ◽  
Phase Matching Condition

We have studied supercontinuum generation in a tapered-rib lead-silicate waveguide. The Air-SF57 glass-SiO2 waveguide is 2 cm long, with a varying etch depth to manage the dispersion profile. Numerical simulations are conducted for input sech2 pulses centered at 1.55 μm. Due to continuous modification of the phase matching condition for dispersive wave emission, the proposed waveguide geometry generates broadband output spectrum extending from ~1 μm to ~4.6 μm at −30 dB level. With proper pumping conditions, fully coherent supercontinuum can be obtained.

scholarly journals Dispersive wave emission and supercontinuum generation in a silicon wire waveguide pumped around the 1550  nm telecommunication wavelength

2014 ◽  
Vol 39 (12) ◽  
pp. 3623 ◽  
Author(s):  
François Leo ◽  
Simon-Pierre Gorza ◽  
Jassem Safioui ◽  
Pascal Kockaert ◽  
Stéphane Coen ◽  
...  
Keyword(s):  
Supercontinuum Generation ◽  
Dispersive Wave ◽  
Telecommunication Wavelength ◽  
Wave Emission

Optimization of the Navy’s three-dimensional mine impact burial prediction simulation model, Impact35, using high-order numerical methods

2021 ◽  
pp. 154851292110286
Author(s):  
Athanasios Donas ◽  
Ioannis Famelis ◽  
Peter C Chu ◽  
George Galanis
Keyword(s):  
Numerical Analysis ◽  
Numerical Methods ◽  
Prediction Model ◽  
Simulation Model ◽  
Three Dimensional ◽  
Simulation System ◽  
High Order ◽  
Alternative Methodology ◽  
Runge Kutta ◽  
Fifth Order

The aim of this paper is to present an application of high-order numerical analysis methods to a simulation system that models the movement of a cylindrical-shaped object (mine, projectile, etc.) in a marine environment and in general in fluids with important applications in Naval operations. More specifically, an alternative methodology is proposed for the dynamics of the Navy’s three-dimensional mine impact burial prediction model, Impact35/vortex, based on the Dormand–Prince Runge–Kutta fifth-order and the singly diagonally implicit Runge–Kutta fifth-order methods. The main aim is to improve the time efficiency of the system, while keeping the deviation levels of the final results, derived from the standard and the proposed methodology, low.

Continuous extensions to high order runge-kutta methods

1997 ◽  
Vol 65 (3-4) ◽  
pp. 273-291 ◽  
Author(s):  
G. Papageorgiou ◽  
Ch. Tsitouras
Keyword(s):  
High Order ◽  
Runge Kutta
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