Title :
Reduction of the Longitudinal Multi-Modes Dynamics of a Driven Semiconductor Amplifier to a Single Scalar Partial Differential Equation
Author :
Columbo, Lorenzo ; Gil, Lionel
Author_Institution :
Inst. du Non Lineaire de Nice, Univ. de Nice, Valbonne, France
Abstract :
In the plane wave approximation, we analytically study spatio-temporal dynamics of a semiconductor amplifier driven by a coherent injected field in a Fabry-Perot configuration. We manage to reduce the dynamics to a single evolution equation for the slow variable represented by the carrier density, to analytically compute the stationary field configurations and to predict their stability. The numerical simulations, performed by implementing an efficient and accurate split-step code, perfectly agree with the analytical results.
Keywords :
approximation theory; partial differential equations; semiconductor optical amplifiers; spatiotemporal phenomena; Fabry-Perot configuration; longitudinal multimode dynamics; plane wave approximation; semiconductor amplifier; single evolution equation; single scalar partial differential equation; spatio-temporal dynamics; split-step code; Charge carrier density; Differential amplifiers; Gas insulated transmission lines; Laser modes; Numerical simulation; Partial differential equations; Performance analysis; Semiconductor lasers; Semiconductor optical amplifiers; Stability analysis; Longitudinal dynamics; multi-scales analysis; semiconductors amplifiers;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2009.2019613