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

Stuart D. Jackson*, Paul H. Muir

*Corresponding author for this work

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

Using the classical treatment of the stimulated Raman-scattering process, we use a theoretical model to simulate the operation of an nth-order cascaded Raman fiber laser. We introduce the partial differential equations employed to describe the propagation and time dependence of the forward and reverse-propagating fields of an rath-order cascaded Raman fiber laser. Under steady-state conditions, these equations form the well-known system of first-order, nonlinear boundary-value ordinary differential equations, with separated boundary conditions. We solve this system of equations numerically with the use of mono-implicit Runge-Kutta methods within a defect-control framework. We consider cascaded Raman fiber lasers of orders 2 through 5 and examine 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 associated system of first-order, hyperbolic, partial differential equations is treated by employing a transverse method-of-lines algorithm; the time derivatives are discretized with a finite-difference scheme, yielding a large system of boundary-value ordinary differential equations. We establish that for sinusoidal modulation of the pump the Stokes cavity modes exhibit antiphase dynamics typical of a system of locally coupled nonlinear oscillators.

Original languageEnglish
Pages (from-to)1297-1306
Number of pages10
JournalJournal of the Optical Society of America B: Optical Physics
Volume18
Issue number9
Publication statusPublished - 2001
Externally publishedYes

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