### Abstract

A microscopic theory for the interaction between semiconductor quantum-well structures and laser fields based on the semiconductor Bloch equations is applied to vertical-cavity surface-emitting lasers (VCSELs) with the inclusion of plasma heating. The semiconductor Bloch equations are reduced to a set of equations for the first and second moments of the carrier distribution functions. Plasma heating and many-body effects are then studied by solving this set of equations in steady state under the approximation of a single transverse and longitudinal mode. The transverse- and longitudinal-mode dynamics of VCSELs is analyzed by solving the full space-time-dependent problem.

Original language | English (US) |
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Pages (from-to) | 1175-1181 |

Number of pages | 7 |

Journal | Optical Engineering |

Volume | 37 |

Issue number | 4 |

Publication status | Published - Apr 1998 |

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### Keywords

- Bloch equations
- Mode dynamics
- Plasma heating
- Vertical-cavity surface-emitting lasers (VCSELs)

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Optical Engineering*,

*37*(4), 1175-1181.