Abstract
Partial differential equations are solved to perform a spatiotemporal analysis of Q-switched operation of a fluoride fiber laser doped with erbium ions. A method of lines is applied in order to reduce the partial differential equations to a set of ordinary differential equations. The latter set is then solved using an algorithm designed for a solution of stiff equation problems. A spontaneous emission term is added to equations that model the dynamics of the photon population within the laser cavity for the infrared signal wave. The results show that, without an inclusion of the spontaneous emission term, the correct behavior of the photon population and energy level populations cannot be reproduced.
Highlights
Over the last two decades there has been considerable progress in the development of fluoride glass fiber lasers doped with lanthanide ions with operating wavelengths larger than 2500 nm
The spontaneous emission parameter γsp has been approximated using an are given in Table 2 [21]
Fiber length whilst trying to reduce the pulse duration, because the peak power increases concurrently, a numerical simulation is performed formay calculation a train and high photon density within the fiber laser cavity damageofthe fiber.of 5 Q-switched pulses. These results demonstrate the importance of the spontaneous emission, even if the fiber laser operates
Summary
Over the last two decades there has been considerable progress in the development of fluoride glass fiber lasers doped with lanthanide ions with operating wavelengths larger than 2500 nm. The longest operating wavelength achieved using fluoride fiber laser technology is 3900 nm, which was realized using liquid nitrogen cooling of ZBLAN fiber doped with holmium ions [1]. The longest operating wavelength achieved so far is 3680 nm [2], which was realized using erbium ion doped ZBLAN fiber and a two pump lasing scheme [3]. Gain switched dual pump erbium doped fluoride fiber lasers have achieved an operating wavelength of 3550 nm with a peak power of 204 W and a repetition frequency of 15 kHz [10]
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