Title :
Gain dynamics of doped-fiber amplifiers for added and dropped signals
Author :
Bononi, Alberto ; Rusch, Leslie A.
Author_Institution :
Dipt. di Ingegneria dell´´Inf., Parma Univ., Italy
Abstract :
Sun et al. (see Electron. Lett., vol.32, p.1490-91, Aug. 1996) reduced the set of coupled first order nonlinear partial differential equations determining the wavelength-dependent, time-varying doped-fiber amplifier gain into a single ordinary differential equation (ODE). In this paper we further simplify the ODE, greatly enhancing its utility as an analysis and design tool. We find that the gain dynamics are completely specified by the total number of excited ions. We demonstrate that channel addition causes much faster transients than channel dropping in wavelength division multiplexing networks. We approximate the solution of the ODE by an exponential with the time constant given as a function of the amplifier parameters
Keywords :
differential equations; erbium; fibre lasers; optical communication equipment; optical fibre networks; wavelength division multiplexing; EDFA; ODE; added signals; amplifier parameters; channel addition; channel dropping; coupled first order nonlinear PDE; dropped signals; erbium doped-fiber amplifiers; excited ions; exponential; gain dynamics; ordinary differential equation; partial differential equations; time constant; time-varying amplifier gain; transients; wavelength division multiplexing networks; wavelength-dependent gain; Couplings; Differential equations; Doped fiber amplifiers; Partial differential equations; Power amplifiers; Reservoirs; Signal processing; Steady-state; Sun; Wavelength division multiplexing;
Conference_Titel :
Communications, 1998. ICC 98. Conference Record. 1998 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-4788-9
DOI :
10.1109/ICC.1998.685144
