Study of the complex atomic susceptibility of erbium-doped fiber amplifiers

Author

Desurvire, Emmanuel

Author_Institution

AT&T Bell Labs., Holmdel, NJ, USA

Volume

8

Issue

10

fYear

1990

fDate

10/1/1990 12:00:00 AM

Firstpage

1517

Lastpage

1527

Abstract

A study of the complex atomic susceptibility of erbium-doped fiber amplifiers operating near the 1.53-μm transition (⁴I _13/2-⁴I_15/2) developed from a semiclassical theoretical description is presented. Expressions for the emission cross section σ_e(λ) and absorption cross section σ_a(λ) of erbium:glass as a quasi-three-level laser system with Stark-split sublevel manifolds are derived. The results are used to calculate the cross sections of aluminosilicate erbium-doped fibers at low temperatures (T=4.2, 77 K) and at room temperature. It is demonstrated that an expression for the gain coefficient of the fiber amplifier can be derived from the expression of the susceptibility. Using Kramers-Kronig relations, an expression for the refractive index change in the fiber is derived. The theoretical spectral gain profile of the fiber amplifier and concurrent refractive index changes are analyzed for different pumping regimes

Keywords

Kramers-Kronig relations; erbium; fibre lasers; laser theory; refractive index; 1.53 micron; 4.2 K; 77 K; Al₂O₃-SiO₂; Er doped fibre amplifers; Kramers-Kronig relations; Stark-split sublevel manifolds; absorption cross section; aluminosilicate; complex atomic susceptibility; emission cross section; gain coefficient; lasing transitions; optical pumping; pumping regimes; quasi-three-level laser system; refractive index change; room temperature; spectral gain profile; Absorption; Crosstalk; Erbium; Erbium-doped fiber amplifier; Glass; Laser excitation; Laser modes; Laser theory; Optical fiber communication; Optical fiber polarization;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.59191

Filename

59191