Relaxation oscillation in Er3+-doped and Yb3+/Er3+co-doped fiber grating lasers

Lina Ma; Zhengliang Hu; Xun Liang; Zhou Meng; Yongming Hu

doi:10.1364/AO.49.001979

Relaxation oscillation in ${Er}^{3 +}$ -doped and ${Yb}^{3 +} / {Er}^{3 +}$ co-doped fiber grating lasers

Lina Ma, Zhengliang Hu, Xun Liang, Zhou Meng, and Yongming Hu

Applied Optics
Vol. 49,
Issue 10,
pp. 1979-1985
(2010)
•https://doi.org/10.1364/AO.49.001979

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Lina Ma, Zhengliang Hu, Xun Liang, Zhou Meng, and Yongming Hu, "Relaxation oscillation in Er³⁺-doped and Yb³⁺/Er³⁺co-doped fiber grating lasers," Appl. Opt. 49, 1979-1985 (2010)

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Abstract

Relaxation oscillations in ${Er}^{3 +}$ -doped and ${Yb}^{3 +} / {Er}^{3 +}$ co-doped fiber grating lasers were investigated. Intensity noise models were established for both cases in which the fluctuations of pump power and cavity loss were analyzed. Simulation indicates that the relaxation oscillation is induced by the pump power fluctuation, and fluctuation of the cavity loss can broaden the relaxation oscillation peak and enhance the amplitude. The relaxation oscillation of a laser with ${Er}^{3 +}$ -doped fiber exhibits a lower frequency and larger amplitude than that of an ${Yb}^{3 +} / {Er}^{3 +}$ co-doped fiber grating laser. Distributed Bragg reflector fiber grating lasers with ${Er}^{3 +}$ -doped fiber and ${Yb}^{3 +} / {Er}^{3 +}$ co-doped fiber were fabricated, and the relaxation oscillations were measured. For the former, the relaxation oscillation frequency is at the magnitude of several hundreds of kilohertz and lineally shifts toward the higher frequency with the pump power. For the latter, no obvious relaxation oscillation was measured.

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Quantity	Value	Quantity	Value
n	1.456	$τ_{2}$	$10 ms$
$N_{0}$	$1.5 \times 10^{25}$	$σ_{p}$	$2.15 {\times 10}^{- 25}$
$σ_{a}$	$2.8445 {\times 10}^{- 25}$	$A_{c}$	$16.62 {μm}^{2}$
$σ_{e}$	$2.3793 {\times 10}^{- 25}$

Quantity	Value	Quantity	Value
n	1.54	$N_{er}$	$10^{25}$
$σ_{a}$	$2.34 \times 10^{- 25}$	$N_{yb}$	$10^{27}$
$σ_{e}$	$2.38 \times 10^{- 25}$	$τ_{yb 2}$	$10 ms$
$σ_{p}$	$7 \times 10^{- 25}$	$τ_{er 2}$	$1 ms$

Quantity	Value	Quantity	Value
n	1.456	$τ_{2}$	$10 ms$
$N_{0}$	$1.5 \times 10^{25}$	$σ_{p}$	$2.15 {\times 10}^{- 25}$
$σ_{a}$	$2.8445 {\times 10}^{- 25}$	$A_{c}$	$16.62 {μm}^{2}$
$σ_{e}$	$2.3793 {\times 10}^{- 25}$

Quantity	Value	Quantity	Value
n	1.54	$N_{er}$	$10^{25}$
$σ_{a}$	$2.34 \times 10^{- 25}$	$N_{yb}$	$10^{27}$
$σ_{e}$	$2.38 \times 10^{- 25}$	$τ_{yb 2}$	$10 ms$
$σ_{p}$	$7 \times 10^{- 25}$	$τ_{er 2}$	$1 ms$

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