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Modeling of a Vertical Cavity Surface Emitting Laser Containing a Multi-QW Heterostructure

  • N. N. Elkin
  • A. P. Napartovich
  • V. N. Troshchieva
  • D. V. Vysotsky
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

A vertical cavity surface emitting laser (VCSEL) is an object of numerical study in the present paper.

The linear non-hermitian eigenvalue problem arises in the first stage when we consider a ”cold” cavity and neglect changes of material characteristics induced by electromagnetic field. The round-trip operator technique and Krylov subspace methods were used for determination of eigenfunctions, which represent intra-cavity wave field distributions. Corresponding complex eigenvalues determine the wavelength shifts relative to reference value and threshold gains.

The next stage of study relates to a case of a loaded cavity when self-consistent solving of a wave field equation and material equations is required. The eigenvalue problem for a non-linear operator must be solved to find the lasing electromagnetic field spatial profile and its frequency. The gain element of a typical VCSEL device comprises several quantum wells (QW). The charge carriers distributions in each of QW obey non-linear diffusion equation. The round-trip operator is a non-linear operator in this case, and its evaluation needs an iteration procedure. We propose the iteration procedure, which is applicable for a set of QW of any size and has computational costs growing linearly with number of QW.

The computational procedures and results of calculations for a cylindrical VCSEL will be reported.

Keywords

Active Layer Quantum Well Iteration Procedure Phase Screen Krylov Subspace Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Fox, A.G., Li, T.: Effect of gain saturation on the oscillating modes of optical masers. IEEE Journal of Quantum Electronics QE-2, 774–783 (1966)CrossRefGoogle Scholar
  2. 2.
    Rao, H., Steel, M.J., Scarmozzino, R., Osgood Jr., R.M.: VCSEL design using the bidirectorial beam-propagating method. IEEE J. Quantum Electron. 37, 1435–1440 (2001)CrossRefGoogle Scholar
  3. 3.
    Elkin, N.N., Napartovich, A.P., Troshchieva, V.N., Vysotsky, D.V.: Round-trip operator technique applied for optical resonators with dispersion elements. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds.) NMA 2006. LNCS, vol. 4310, pp. 542–549. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  4. 4.
    Hadley, G.R.: Modeling of diode laser arrays. In: Botez, D., Scifres, D.R. (eds.) Diode Laser Arrays, pp. 1–72. Cambridge Univ. Press, Cambridge (1994)Google Scholar
  5. 5.
    Siegman, A.E.: Quasi fast Hankel transform. Optics Letters 1, 13–15 (1977)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • N. N. Elkin
    • 1
  • A. P. Napartovich
    • 1
  • V. N. Troshchieva
    • 1
  • D. V. Vysotsky
    • 1
  1. 1.State Science Center Troitsk Institute for Innovation and Fusion Research(TRINITI)TroitskRussia

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