Analytical gain equation for erbium-doped fiber amplifiers including mode field profiles and dopant distribution
- 1 May 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Photonics Technology Letters
- Vol. 4 (5) , 449-451
- https://doi.org/10.1109/68.136482
Abstract
An analytical description of the gain of an erbium-doped fiber amplifier is proposed that takes into account the transverse extension of mode fields and dopant distribution. A single closed-form expression is derived that describes the relation between gain, input powers, and fiber length. The free parameters in this equation are given in their analytical form. A numerical evaluation of the equation is performed for a 980 nm pumped amplifier fiber with different doping radii. A comparison with a calculation using the full numerical integration of differential equations shows that the description is correct for conventional fiber geometries.Keywords
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