﻿ 对三能级光纤激光器速率方程组的分析

# 对三能级光纤激光器速率方程组的分析Analyses of Rate Equations of Fiber Lasers with Three-Energy-Level Dopants

Abstract: The rate equations of fiber lasers with three-energy-level dopants are anglicized. An expression of the unit step response of the fiber laser with three-energy-level dopants has been obtained from rate equations in a constant pump power. With these expressions, output characteristic of the fiber laser with three-energy-level dopants has been studied. The output characteristic of the fiber laser with three-energy-level dopants depends on its damping ratio, and the different damped oscillation curves and over-damped monotonic decay curves can be obtained for various damping ratio of the fiber laser with three-energy-level dopants. If 0 < ξ < 1, the photon density curves of stimulated radiation of the fiber laser will be a damping oscillation curves. If ξ = 1 or ξ > 1, the photon density curves of stimulated radiation of the fiber laser will be non-oscillating monotonic decay curves.

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