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Frontiers of Optoelectronics

ISSN 2095-2759

ISSN 2095-2767(Online)

CN 10-1029/TN

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Front Optoelec Chin    2008, Vol. 1 Issue (3-4) : 329-335    https://doi.org/10.1007/s12200-008-0081-6
Research article
Theoretical and experimental research on Er-doped and Yb-Er co-doped Al2O3 waveguide amplifiers
Shufeng LI1(), Chengren LI1,2, Changlie SONG1
1. Physics Department, Dalian University of Technology; 2. Physics Department, Liaoning Normal University
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Abstract

The rate equations of Er-doped and Yb-Er co-doped systems pumped at 0.98 μm are presented, with consideration for the upconversion mechanisms such as cooperative upconversion, cross relaxation, and excited state absorption. A multi-theoretical model is founded to analyze the gain characteristics of Er-doped and Yb-Er co-doped Al2O3 waveguide amplifiers by using rate equations, a two-dimension waveguide finite element model and propagation equations with forward and backward amplified spontaneous emission. The dependence of the gain on amplifier length, pump power and doping concentration is obtained. The optimum design curve is given for designing waveguide amplifiers. The new theory is used to analyze the gain performance of a practical Yb-Er co-doped Al2O3 waveguide amplifier, and the analyzed results are in accordance with the experimental data.
Keywords integrated optics      Er-doped Al2O3 waveguide amplifier (EDAWA)      Yb-Er co-doped Al2O3 waveguide amplifier (YEDAWA)      multi-theoretical model, net gain     
Corresponding Author(s): LI Shufeng,Email:sf.lee@163.com   
Issue Date: 05 September 2009
 Cite this article:   
Shufeng LI,Chengren LI,Changlie SONG. Theoretical and experimental research on Er-doped and Yb-Er co-doped Al2O3 waveguide amplifiers[J]. Front Optoelec Chin, 2008, 1(3-4): 329-335.
 URL:  
https://academic.hep.com.cn/foe/EN/10.1007/s12200-008-0081-6
https://academic.hep.com.cn/foe/EN/Y2008/V1/I3-4/329
Fig0  Rib waveguide( = 1.64, = 1.51, = 1, = 1 μm, = 3 μm, = 0.8 μm)
parametervalue
pump cross-section (λp = 0.98 μm)absorptionσEr-a13 = 1.7 × 10-21 cm2σYb-a78 = 11.7 × 10-21 cm2
emissionσEr-e31 = 0 cm2σYb-e87 = 11.6 × 10-21 cm2
signal cross-section (λs = 1.53 μm)absorptionσEr-a12 = 5.7 × 10-21 cm2
emissionσEr-e21 = 5.7 × 10-21 cm2
excited state absorption cross-sectionσESA = 0.8 × 10-21 cm2
excited state lifetimeτ2 = 7.8 msτ3 = 30 μsτ4 = 1.0 nsτ5 = 7.0 μsτ6 = 20 nsτ8 = 1.1 ms
upconversion coefficient (assuming a linearly increasing function of Er concentration)NEr = 2.7 × 1020 cm-3NEr = 4.4 × 1019 cm-3C2 = C3 = C14 = 4.1 × 10-18 cm3/sC2 = C3 = C14 = 3.5 × 10-18 cm3/s
energy transfer coefficientKtr18 = 4.0 × 10-17 cm3/s
Tab0  Parameters of Yb-Erco-doped AlO film
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