A Mueller matrix formalism for modeling polarization effects in erbium-doped fiber

Author

Wagener, Jefferson L. ; Falquier, Dario G. ; Digonnet, Michel J F ; Shaw, Herbert J.

Author_Institution

Edward L. Ginzton Lab., Stanford Univ., CA, USA

Volume

16

Issue

2

fYear

1998

fDate

2/1/1998 12:00:00 AM

Firstpage

200

Lastpage

206

Abstract

The effects of erbium anisotropy in erbium-doped fiber lasers, sources, and amplifiers are examined. Starting from basic ion properties, inversion and gain equations are derived analytically to describe polarization dependencies. A novel matrix form of the Er³⁺ rate equations is presented to propagate powers and polarization states. These equations are then numerically integrated and compared to experimentally observed polarization hole burning and polarization dependent gain. The theoretical predictions agree strongly with experiment in all cases

Keywords

erbium; fibre lasers; light propagation; matrix algebra; optical fibre polarisation; optical fibre theory; optical hole burning; Er³⁺ rate equations; Mueller matrix formalism; erbium anisotropy; erbium-doped fiber; erbium-doped fiber amplifiers; erbium-doped fiber lasers; gain equations; ion properties; numerically integrated; observed polarization hole burning; polarization dependencies; polarization dependent gain; polarization effects modelling; polarization states; Anisotropic magnetoresistance; Doped fiber amplifiers; Equations; Erbium; Erbium-doped fiber amplifier; Erbium-doped fiber lasers; Laser modes; Optical fiber devices; Optical fiber polarization; Semiconductor process modeling;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.661010

Filename

661010