# 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

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topVladimir 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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- [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]
- [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).
- [9] S. Yu, "The dynamic behavior of vertical-cavity surface-emitting lasers," Journal of Quantum Electronics 32, 1168–1179 (1996). [Crossref]
- [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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