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Volume 31 Issue 3
May  2010
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Solution to rate equations of a double-clad fiber laser

  • Corresponding author: CHEN Jian-guo, Optics_lab@163.com
  • Received Date: 2007-02-04
    Accepted Date: 2007-03-07
  • In order to obtain more exact analytical solution to study the output characteristics of double-clad fiber lasers,according to the continuous-wave rate equations of fiber lasers,using typical parameters of double-clad fiber lasers(DCFLs),the contribution of the re-emission effect arising from the interaction between the upper-level atoms and pump light was estimated.Taking into account the predominant part of the re-emission to improve the accuracy of the integration approximated rate equations,the integration of the product of the loss and radiation should be found and explicit analytical expressions for the output of the DCFLs and gradient efficiency of the pump radiation,were deduced,and certain issues of concern were discussed.As an example,for laser wavelength 1090nm,if the pump wavelength is 915nm,920nm,and 975nm,respectively,the gradient efficiency of 975nm is the maximum and it is about 87%.The result shows that the analytical solutions are fit to investigate the output characteristics of fiber lasers extending the application range.
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    WANG F,PAN W,LUO B et al.Performance analysis of multi-wavelength Yb-doped double-clad fiber lasers[J].Laser Technology,2005,29(5):497~500(in Chinese).
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    XIA J Zh,QU R H,CAI H W et al.Studies on relaxation oscillation characteristics of fiber lasers[J].Chinese Journal of Lasers,2004,31(7):807~810(in Chinese).
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    WU Z L,CHEN G F,WANG X H et al.Numerical analysis of Yb3+-doped double-clad fiber laser[J].Acta Photonica Sinica,2002,31(2):332~335(in Chinese).
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    WANG F,PAN W,LUO B et al.Influence of the typical parameters on slope efficiency of Yb-doped double-clad fiber lasers[J].High Power Laser and Particle Beams,2004,16(12):1509~1512(in Chinese).
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    CHEN J G,ZHU X,SIBBETT W.Rate-equation studies of erbium-doped fiber lasers with common pump and laser energy bands[J].Journal of the Optical Society of American,1992,B9(10):1876~1882.
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    KELSON I,HARDY A A.Strongly pumped fiber lasers[J].IEEE J Q E,1998,34(9):1570~1577.
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    XIAO L M,YAN P,GONG M L et al.An approximate analytic solution of strongly pumped Yb-doped double-clad fiber lasers without neglecting the scattering loss[J].Opt Commun,2004,230:401~410.
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    WANG Y,XU Ch Q,PO H.Thermal effects in kilowatt fiber lasers[J].IEEE Photonics Technology Letters,2004,16(1):63~65.
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    NILSSON J,CLARKSON W A,SELVAS R.et al.High-power wavelength-tunable cladding-pumped rare-earth-doped silica fiber lasers[J].Optical Fiber Technology,2004,10(1):5~30.
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通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Solution to rate equations of a double-clad fiber laser

    Corresponding author: CHEN Jian-guo, Optics_lab@163.com
  • 1. School of Electronics and Information Engineering, Sichuan University, Chengdu 610064, China;
  • 2. Department of Physical and Electronic Information, Yibin University, Yibin 644007, China;
  • 3. Southwest Institute of Technical Physics, Chengdu 610041, China

Abstract: In order to obtain more exact analytical solution to study the output characteristics of double-clad fiber lasers,according to the continuous-wave rate equations of fiber lasers,using typical parameters of double-clad fiber lasers(DCFLs),the contribution of the re-emission effect arising from the interaction between the upper-level atoms and pump light was estimated.Taking into account the predominant part of the re-emission to improve the accuracy of the integration approximated rate equations,the integration of the product of the loss and radiation should be found and explicit analytical expressions for the output of the DCFLs and gradient efficiency of the pump radiation,were deduced,and certain issues of concern were discussed.As an example,for laser wavelength 1090nm,if the pump wavelength is 915nm,920nm,and 975nm,respectively,the gradient efficiency of 975nm is the maximum and it is about 87%.The result shows that the analytical solutions are fit to investigate the output characteristics of fiber lasers extending the application range.

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