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.

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