Analysis of folded erbium-doped planar waveguide amplifiers by the method of lines

Author

Huang, Weibin ; Syms, Richard R A

Author_Institution

Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK

Volume

17

Issue

12

fYear

1999

fDate

12/1/1999 12:00:00 AM

Firstpage

2658

Lastpage

2664

Abstract

A numerical model for spiral and folded erbium-doped planar waveguide amplifiers has been developed, based on a rate equation model of the local complex dielectric constant and beam propagation by the method of lines. A five-level system is used to describe the ion-ion interactions that occur at high erbium concentrations. A suitable form of the method of lines is presented in polar coordinates, and absorbing boundary conditions based on the third-order rational series approximation are derived. Using this model, amplification in both straight and curved slab guides can be simulated, and examples of propagation in typical folded amplifier structures are presented

Keywords

erbium; laser theory; method of lines; optical planar waveguides; optical waveguide theory; solid lasers; waveguide lasers; absorbing boundary conditions; beam propagation; five-level system; folded erbium-doped planar waveguide amplifiers; high erbium concentrations; ion-ion interactions; local complex dielectric constant; method of lines; polar coordinates; rate equation model; spiral erbium-doped planar waveguide amplifiers; third-order rational series approximation; typical folded amplifier structures; Electromagnetic waveguides; Equations; Erbium; Erbium-doped fiber amplifier; Laser excitation; Optical amplifiers; Optical filters; Optical waveguides; Planar waveguides; Semiconductor process modeling;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.809687

Filename

809687