### Abstract

A self-consistent theory for semiconductor lasers, in which plasma and lattice temperatures are treated as two independent variables, is presented. This theory consists of a set of coupled equations for the total carrier density, field amplitude, and plasma and lattice temperatures with the coupling that is due to phononcarrier scattering and to the band gap’s dependence on lattice temperature. The self-consistent theory is then employed to study thermal effects in vertical-cavity surface-emitting lasers. We first investigate the plasma heating by solving the stationary (cw) solution of the set of equations with a fixed lattice temperature. The solution is studied systematically with respect to different parameters for both bulk and quantum-well media. Significant plasma-heating effects are found. These include the carrier-density dependence on pumping, decrease of input-output efficiency, dependence of the cw frequency shift on pumping, and a pronounced Pauliblocking effect that is due to plasma heating. Furthermore, we solve the whole set of equations, including that for lattice temperature. We show that the output power is strongly saturated or switched off with an increase of pumping. Details of the saturation depend on the position of the cavity frequency in the gain spectrum and on the heat transfer rate from the lattice to the ambient.

Original language | English (US) |
---|---|

Pages (from-to) | 1993-2004 |

Number of pages | 12 |

Journal | Journal of the Optical Society of America B: Optical Physics |

Volume | 12 |

Issue number | 10 |

DOIs | |

State | Published - 1995 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Statistical and Nonlinear Physics

### Cite this

*Journal of the Optical Society of America B: Optical Physics*,

*12*(10), 1993-2004. https://doi.org/10.1364/JOSAB.12.001993

**Self-consistent approach to thermal effects in vertical-cavity surface-emitting lasers.** / Ning, Cun-Zheng; Indik, R. A.; Moloney, J. V.

Research output: Contribution to journal › Article

*Journal of the Optical Society of America B: Optical Physics*, vol. 12, no. 10, pp. 1993-2004. https://doi.org/10.1364/JOSAB.12.001993

}

TY - JOUR

T1 - Self-consistent approach to thermal effects in vertical-cavity surface-emitting lasers

AU - Ning, Cun-Zheng

AU - Indik, R. A.

AU - Moloney, J. V.

PY - 1995

Y1 - 1995

N2 - A self-consistent theory for semiconductor lasers, in which plasma and lattice temperatures are treated as two independent variables, is presented. This theory consists of a set of coupled equations for the total carrier density, field amplitude, and plasma and lattice temperatures with the coupling that is due to phononcarrier scattering and to the band gap’s dependence on lattice temperature. The self-consistent theory is then employed to study thermal effects in vertical-cavity surface-emitting lasers. We first investigate the plasma heating by solving the stationary (cw) solution of the set of equations with a fixed lattice temperature. The solution is studied systematically with respect to different parameters for both bulk and quantum-well media. Significant plasma-heating effects are found. These include the carrier-density dependence on pumping, decrease of input-output efficiency, dependence of the cw frequency shift on pumping, and a pronounced Pauliblocking effect that is due to plasma heating. Furthermore, we solve the whole set of equations, including that for lattice temperature. We show that the output power is strongly saturated or switched off with an increase of pumping. Details of the saturation depend on the position of the cavity frequency in the gain spectrum and on the heat transfer rate from the lattice to the ambient.

AB - A self-consistent theory for semiconductor lasers, in which plasma and lattice temperatures are treated as two independent variables, is presented. This theory consists of a set of coupled equations for the total carrier density, field amplitude, and plasma and lattice temperatures with the coupling that is due to phononcarrier scattering and to the band gap’s dependence on lattice temperature. The self-consistent theory is then employed to study thermal effects in vertical-cavity surface-emitting lasers. We first investigate the plasma heating by solving the stationary (cw) solution of the set of equations with a fixed lattice temperature. The solution is studied systematically with respect to different parameters for both bulk and quantum-well media. Significant plasma-heating effects are found. These include the carrier-density dependence on pumping, decrease of input-output efficiency, dependence of the cw frequency shift on pumping, and a pronounced Pauliblocking effect that is due to plasma heating. Furthermore, we solve the whole set of equations, including that for lattice temperature. We show that the output power is strongly saturated or switched off with an increase of pumping. Details of the saturation depend on the position of the cavity frequency in the gain spectrum and on the heat transfer rate from the lattice to the ambient.

UR - http://www.scopus.com/inward/record.url?scp=21844502581&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844502581&partnerID=8YFLogxK

U2 - 10.1364/JOSAB.12.001993

DO - 10.1364/JOSAB.12.001993

M3 - Article

AN - SCOPUS:21844502581

VL - 12

SP - 1993

EP - 2004

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

SN - 0740-3224

IS - 10

ER -