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An Efficient Algorithm for Steady State Analysis of Fibre Lasers Operating under Cascade Pumping Scheme

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Języki publikacji
EN
Abstrakty
EN
We derive an efficient algorithm for the steady state analysis of fibre lasers operating under cascade pumping scheme by combining the shooting method with the Newton-Raphson method. We compare the proposed algorithm with the two standard algorithms that have been used so far in the available literature: the relaxation method and the coupled solution method. The results obtained show that the proposed shooting method based algorithm achieves much faster convergence rate at the expense of a moderate increase in the calculation time. It is found that a further improvement in the computational efficiency can be achieved by using few iterations of the relaxation method to calculate the initial guess for the proposed shooting method based algorithm.
Twórcy
autor
  • Institute for Electromagnetics Research, Faculty of Engineering, University of Nottingham, Nottingham NG7 2RD, UK
Bibliografia
  • [1] W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P.Flannery, “Numerical recipes in C⁺⁺ : the art of scientific computing”, Cambridge: Cambridge University Press, 2002.
  • [2] J. Schneider, C. Carbonnier and U.B. Unrau, “Characterization of a Ho³⁺ -doped fluoride fiber laser with a 3.9-μm emission wavelength”, Applied Optics, vol 36, no. 33, pp. 8595-8600, Nov. 1997.
  • [3] G. E. Snopatin, M. F. Churbanov, A. A. Pushkin, V. V. Gerasimenko, E. M. Dianov, and V. G. Plotnichenko, “High purity arsenic-sulfide glasses and fibers with minimum attenuation of 12 dB/km,” Optoelectronics and Advanced Materials-Rapid Communications, vol. 3, no. 7, pp. 669-671. Jul. 2009.
  • [4] L. Sojka, Z. Tang, D. Furniss, H. Sakr, A. Oladeji, E. Beres-Pawlik, H. Dantanarayana, E. Faber, A. B. Seddon, T. M. Benson, and S. Sujecki,“Broadband, mid-infrared emission from Pr³⁺ doped GeAsGaSe chalcogenide fiber, optically clad,” Optical Materials, vol. 36, no. 6, pp. 1076-1082, April 2014.
  • [5] R.S. Quimby, L. B. Shaw, J.S. Sanghera, and I.D. Aggarwal, “Modeling of cascade lasing in Dy : Chalcogenide glass fiber laser with efficient output at 4.5 μm,” IEEE Photonics Technology Letters, vol. 20, no. 1-4, pp. 123-125, Jan. 2008.
  • [6] L. Sojka, Z. Tang, H. Zhu, E. Beres-Pawlik, D. Furniss, A.B. Seddon, T.M. Benson, and S. Sujecki, “Study of mid-infrared laser action in chalcogenide rare earth doped glass with Dy³⁺, Pr³⁺ and Tb³⁺,” Optical Materials Express, vol. 2, no. 11, pp. 1632-1640, Nov. 2012.
  • [7] S. Sujecki, L. Sójka, E. Bereś-Pawlik, Z. Tang, D. Furniss, A.B.Seddon, and T.M. Benson, “Modelling of a simple Dy³⁺ doped chalcogenide glass fibre laser for mid-infrared light generation,” Optical and Quantum Electronics, 2010. Vol. 42, no. 2, pp. 69-79, Jan. 2010.
  • [8] P.C. Becker, N.A. Olsson, and J.R. Simpson, “Erbium doped fiber amplifiers. Fundamentals and Technology,” 1999, London: Academic Press.
  • [9] S. Sujecki, L. Borruel, J.Wykes, P. Moreno, B. Sumpf, P. Sewell, H. Wenzel, T.M. Benson, G. Erbert, I. Esquivias, and E. C. Larkins, “Nonlinear properties of tapered laser cavities,” IEEE Journal of Selected Topics in Quantum Electronics, vol. 9, no. 3, pp. 823-834, May/June 2003.
  • [10] S. Sujecki, “Stability of steady-state high-power semiconductor laser models,” Journal of Optical Society of America B, vol. 24, no. 5, pp. 1053-1060, May 2007.
  • [11] C. Pozirikidis, “ Numerical Computation in Science and Engineering,” Oxford: Oxford University Press, 1998.
  • [12] G.D. Smith,“Numerical Solution of Partial Differential Equations: Finite Difference Method,” Oxford: Oxford University Press, 1988.
  • [13] J.R. Dormand and P.J.Prince, “A family of embedded Runge-Kutta formulae,” J. Comp. Appl. Math, vol. 6, no. 1, p. 19-26, 1980.
  • [14] S. Rosloniec, “Fundamental Numerical Methods for Electrical Engineering,” Berlin: Springer, 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-d11387e7-e98f-46f8-9ddd-3d595cafa4cd
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