Skip to main content
SpringerLink
Log in

Numerical analysis of high Q-factor photonic-crystal VCSELs with plane-wave admittance method

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

The paper presents the application of a novel plane-wave admittance method (PWAM) to the three-dimensional and fully vectorial modeling of vertical-cavity surface-emitting lasers with incorporated photonic crystal. The basic mathematical details of the method are given and its convergence is verified for a sample structure. Then the simulations performed with PWAM are used to determine the optimal photonic crystal parameters for low-loss, high-Q-factor regime.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Czyszanowski, T., Dems, M., Panajotov, K., Nakwaski, W.: Crucial parameters of photonic-crystal holes within photonic-crystal VCSEL DBR. In: 8th International Conference on Transparent Optical Networks ICTON, vol. 2, pp. 181–184. Nottingham, UK (2006a)

  • Czyszanowski, T., Dems, M., Thienpont, H., Panajotov, K.: Full vectorial electromagnetic modeling of vertical-cavity surface-emitting diode lasers by the plane wave admittance method. Proc. SPIE 6185, 61850Y. (2006b)

  • Dems, M., Czyszanowski, T., Panajotov, K.: Modeling a low-loss photonic-crystal VCSEL with plane-wave admittance method. In: Physics of Photonic Crystals and Metamaterials, PPCM’06. Brussels, Belgium (2006a)

  • Dems, M., Czyszanowski, T., Panajotov, K.: Plane-wave and cylindrical-wave admittance method for simulation of classical and photonic-crystal-based VCSELs. Proc. SPIE 6182, 618219 (2006b)

  • Dems M., Kotynski R. and Panajotov K. (2005). Plane-wave admittance method—a novel approach for determining the electromagnetic modes in photonic structures. Opt. Express 13: 3196–3207

    Article  ADS  Google Scholar 

  • Dems, M., Panajotov, K.: Modeling of single- and multimode photonic-crystal planar waveguides with plane-wave admittance method: losses and modes coupling. In: 8th International Conference on Transparent Optical Networks, ICTON 2006, vol. 4, pp. 245–248. Nottingham, UK (2006)

  • Hadley G.R., Lear K.L., Warren M.E., Choquette K.D., Scott J.W. and Corzine S.W. (1996). Comprehensive numerical modeling of vertical-cavity surface emitting lasers. IEEE J. Quant. Electron. 32: 607–616

    Article  ADS  Google Scholar 

  • Helfert S.F., Barcz A. and Pregla R. (2003). Three-dimensional vectorial analysis of waveguide structures with the method of lines. Opt. Quant. Electron. 35: 381–394

    Article  Google Scholar 

  • Ivanov P.S., Dragas M., Cryan M. and Rorison J.M. (2005). Theoretical investigation of transverse optical modes imbedded into proton-implanted and oxide-confined vertical-cavity surface-emitting lasers in photonic-crystal waveguides. J. Opt. Soc. Am. B 22: 2270–2276

    Article  ADS  Google Scholar 

  • Ivanov P.S., Unold H.J., Michalzik R., Maehnss J., Ebeling K.J. and Sukhoivanov I.A. (2003). Theoretical study of cold-cavity single-mode conditions in vertical-cavity surface-emitting lasers with incorporated two-dimensional photonic crystals. J. Opt. Soc. Am. B 20: 2442–2447

    ADS  Google Scholar 

  • Panajotov, K., Czyszanowski, T., Dems, M.: COST P-11 WG3 VCSEL exercise (2005)

  • Sakoda K. (2001). Optical properties of photonic crystals. Spriger-Verlag, Berlin

    Google Scholar 

  • Taflove A. (1995). Computational electrodynamics: the finite-difference time-domain method. Artec House Inc, Boston

    MATH  Google Scholar 

  • Yokouchi N., Danner A.J. and Choquette K.D. (2003). Two-dimensional photonic crystal confined vertical-cavity surface-emitting lasers. IEEE J. Sel. Top. Quant. Electron. 9: 1439–1445

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Technical University of Lodz, ul. Wolczanska 219, Lodz, 90-924, Poland

    Maciej Dems & Tomasz Czyszanowski

  2. Department of Applied Physics and Photonics, Vrije Universiteit Brussel, Pleinlaan 2, Brussels, 1050, Belgium

    Krassimir Panajotov

  3. Institute of Solid State Physics, 72 Tzarigradsko Chaussee Blvd., Sofia, 1784, Bulgaria

    Krassimir Panajotov

Authors
  1. Maciej Dems
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tomasz Czyszanowski
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Krassimir Panajotov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Maciej Dems.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dems, M., Czyszanowski, T. & Panajotov, K. Numerical analysis of high Q-factor photonic-crystal VCSELs with plane-wave admittance method. Opt Quant Electron 39, 419–426 (2007). https://doi.org/10.1007/s11082-007-9090-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11082-007-9090-8

Keywords

Search

Navigation