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《Analytic Model for EDFA and Laser》.pdf
IEEE JOURNAL OF QUANTUM ELECTRONICS, VOL. 30, NO. 8,AUGUST 1994 1817
Analytical Model for Rare-Earth-Doped
Fiber Amplifiers and Lasers
C. Barnard, Student Member, ZEEE, P. Myslinski, Member, IEEE, J. Chrostowski, Senior Member, IEEE,
and M. Kavehrad, Fellow, ZEEE
Abstmc-An analytical model for two-, three-, and four-level holmium (Ho3+1,thulium (Tm3+1,praseodymium (Pr3+1,
system rare-earth-doped fiber amplifiers and lasers is presented. and samarium (Sm3+) 121. The broadened linewidths of
The theory is applicable to dopants such as erbium, neodymium,
thulium, praseodymium, and ytterbium. Fiber-amplifier gain is rare-earth ions in glass also enable wide tuning ranges [51
expressed in terms of attenuation coefficients, intrinsic satura- and are suitable for short-pulse mode locking [6]. Narrow
tion powers, and cross-saturation powers at the pump and linewidths and Q-switching have also been demonstrated
signal wavelengths. These parameters can be directly deter- 171, [81.
mined from one- and two-beam fiber-transmission measure- Ongoing development of fiber lasers and amplifiers
ments. System-independent formulas are given for the slopes
and thresholds of ring and linear fiber lasers. Good agreement requires accurate and simple theoretical modeling. The
between theory and experimenthas been shown for erbium-doped theory of amplification and lasing in fibers differs from
fiber amplifiers and lasers and thulium-doped fiber l
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