Theory and numerical simulation of nth-order cascaded Raman fiber lasers

Citation
Sd. Jackson et Ph. Muir, Theory and numerical simulation of nth-order cascaded Raman fiber lasers, J OPT SOC B, 18(9), 2001, pp. 1297-1306
Citations number
30
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS
ISSN journal
0740-3224 → ACNP
Volume
18
Issue
9
Year of publication
2001
Pages
1297 - 1306
Database
ISI
SICI code
0740-3224(200109)18:9<1297:TANSON>2.0.ZU;2-P
Abstract
Using the classical treatment of the stimulated Raman-scattering process, w e use a theoretical model to simulate the operation of an nth-order cascade d Raman fiber laser. We introduce the partial differential equations employ ed to describe the propagation and time dependence of the forward and rever se-propagating fields of an nth-order cascaded Raman fiber laser. Under ste ady-state conditions, these equations form the well-known system of first-o rder, nonlinear boundary-value ordinary differential equations, with separa ted boundary conditions. We solve this system of equations numerically with the use of mono-implicit Runge-Kutta methods within a defect-control frame work. We consider cascaded Raman fiber lasers of orders 2 through 5 and exa mine the parameters that influence the operation of these devices. We also provide preliminary results on the investigation of a time-dependent model in which the pump power is assumed to vary periodically with time. The asso ciated system of first-order, hyperbolic, partial differential equations is treated by employing a transverse method-of-lines algorithm; the time deri vatives are discretized with a finite-difference scheme, yielding a large s ystem of boundary-value ordinary differential equations. We establish that for sinusoidal modulation of the pump the Stokes cavity modes exhibit antip hase dynamics typical of a system of locally coupled nonlinear oscillators. (C) 2001 Optical Society of America.