Analytical gain equation for erbium-doped fiber amplifiers including mode field profiles and dopant distribution

Author

Pfeiffer, TH. ; Bulow, H.

Author_Institution

Alcatel SEL Res. Centre, Stuttgart, Germany

Volume

4

Issue

5

fYear

1992

fDate

5/1/1992 12:00:00 AM

Firstpage

449

Lastpage

451

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

differential equations; erbium; fibre lasers; laser modes; laser theory; optical pumping; 980 nm; ER-doped fibre amplifiers; conventional fiber geometries; differential equations; dopant distribution; doping radii; fiber length; fibre laser gain; full numerical integration; gain equation; input powers; laser pumping; mode field profiles; pumped amplifier fiber; single closed-form expression; transverse extension; Absorption; Differential equations; Distributed amplifiers; Doped fiber amplifiers; Doping; Erbium; Erbium-doped fiber amplifier; Geometry; Laser excitation; Spontaneous emission;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.136482

Filename

136482