Transmission-line laser modeling of carrier diffusion in VCSEL

Vladimir Gerasik; Jacek Miloszewski; Marek S. Wartak

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2014)

  • Volume: 3, Issue: 1
  • ISSN: 2299-3290

Abstract

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The transmission-line laser model (TLLM) is an equivalent-circuit model which provides stable and explicit matrix routines for the solution of the laser rate equations. The application of TLLM method to the analysis of a vertical-cavity surface-emitting laser (VCSEL) requires certain modifications. The theoretical basis of the model is considered, including space discretization of the inhomogeneous VCSEL cavity so that it yields the synchronization condition. The main attention is paid to the modeling of the carrier diffusion phenomena in VCSEL. As an illustration of the basic capabilities of the resulting spatio-temporal matrix model a transient simulation of diffusive turn-off is provided. Most notably, the degradation of the turn-off transient is observed when the top distributed Bragg reflector (DBR) is extended in the vertical direction.

How to cite

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Vladimir Gerasik, Jacek Miloszewski, and Marek S. Wartak. "Transmission-line laser modeling of carrier diffusion in VCSEL." Nanoscale Systems: Mathematical Modeling, Theory and Applications 3.1 (2014): null. <http://eudml.org/doc/269456>.

@article{VladimirGerasik2014,
abstract = {The transmission-line laser model (TLLM) is an equivalent-circuit model which provides stable and explicit matrix routines for the solution of the laser rate equations. The application of TLLM method to the analysis of a vertical-cavity surface-emitting laser (VCSEL) requires certain modifications. The theoretical basis of the model is considered, including space discretization of the inhomogeneous VCSEL cavity so that it yields the synchronization condition. The main attention is paid to the modeling of the carrier diffusion phenomena in VCSEL. As an illustration of the basic capabilities of the resulting spatio-temporal matrix model a transient simulation of diffusive turn-off is provided. Most notably, the degradation of the turn-off transient is observed when the top distributed Bragg reflector (DBR) is extended in the vertical direction.},
author = {Vladimir Gerasik, Jacek Miloszewski, Marek S. Wartak},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
keywords = {Transmission-line laser model; VCSEL; semiconductor laser model},
language = {eng},
number = {1},
pages = {null},
title = {Transmission-line laser modeling of carrier diffusion in VCSEL},
url = {http://eudml.org/doc/269456},
volume = {3},
year = {2014},
}

TY - JOUR
AU - Vladimir Gerasik
AU - Jacek Miloszewski
AU - Marek S. Wartak
TI - Transmission-line laser modeling of carrier diffusion in VCSEL
JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications
PY - 2014
VL - 3
IS - 1
SP - null
AB - The transmission-line laser model (TLLM) is an equivalent-circuit model which provides stable and explicit matrix routines for the solution of the laser rate equations. The application of TLLM method to the analysis of a vertical-cavity surface-emitting laser (VCSEL) requires certain modifications. The theoretical basis of the model is considered, including space discretization of the inhomogeneous VCSEL cavity so that it yields the synchronization condition. The main attention is paid to the modeling of the carrier diffusion phenomena in VCSEL. As an illustration of the basic capabilities of the resulting spatio-temporal matrix model a transient simulation of diffusive turn-off is provided. Most notably, the degradation of the turn-off transient is observed when the top distributed Bragg reflector (DBR) is extended in the vertical direction.
LA - eng
KW - Transmission-line laser model; VCSEL; semiconductor laser model
UR - http://eudml.org/doc/269456
ER -

References

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  2. [1] J. J. Morikuni, P. V. Mena, A.V. Harton, K. W. Wyatt and S.-M. Kang, "Spatially independent VCSEL models for the simulation of diffusive turn-off transients,"J. Lightwave Technol. 32, 95–102 (1999). [Crossref] 
  3. [2] P. V.Mena, J. J. Morikuni "A comprehensive circuit-levelmodeof vertical-cavity surface-emitting lasers", J. Lightwave Technol. 17, 2612–2632, (1999). [Crossref] 
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  6. [5] A. J. Lowery, "New dynamic model formultimode chirp in DFB semiconductor lasers,"Proc. Inst. Elect. Eng., pt.J 137, 293–300 (1990). 
  7. [6] H. Liu, P. Shumand M. S. Kao, "Theoretical study of extinction ratio and frequency chirping of VCSEL-Based two-dimensional wavelength converter,"IEEE Photonics Technology letters 16, 281–289 (1987). 
  8. [7] C. Qi, X. Shi and G. Wang, "High-order circuit-level thermal model of vertical-cavity surface-emitting lasers,"IET Optoelectronics 5, 19–27 (2011) [WoS][Crossref] 
  9. [8] R. Michalzik and K. J .D. Ebeling, "Operating Principles of VCSELs," in Vertical-Cavity Surface-Emitting Laser Devices, H. Li and K. Iga, eds. (Springer Berlin Heidelberg, 2003). 
  10. [9] S. Yu, "The dynamic behavior of vertical-cavity surface-emitting lasers," Journal of Quantum Electronics 32, 1168–1179 (1996). [Crossref] 
  11. [10] W. M. Wong and H. Ghafouri-Shiraz, "Dynamic Model of Tapered Semiconductor Lasers and Amplifiers Based on Transmission-Line Laser Modeling," IEEE Journal of selected topics in quantum electronics 6, 585–592 (2000) 

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