## Abstract

The usual way of obtaining rate equations (RE) and a single equation for the field amplitude (EFA) from the semiclassical laser equations (Lorenz-Haken model) is reexamined by undertaking a systematic elimination procedure developed in synergetics. The RE and EFA are justified in the case 1 (γ_{⊥}≫γ_{∥}, κ) and case 2 (γ_{⊥}, γ_{∥}≫κ), respectively. We show that, because the eliminated variable happens to contain a considerable contribution from an unstable mode, the usual elimination technique in the case 3 (γ_{⊥}, κγ_{∥}) leads to an inconsistency. As important by-products we obtain the RE and EFA for arbitrary cavity relaxation constant (κ). Some remarks are given on the direct elimination technique in the non-diagonal representation in the study of instabilities.

Original language | English (US) |
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Pages (from-to) | 117-120 |

Number of pages | 4 |

Journal | Applied Physics B Photophysics and Laser Chemistry |

Volume | 55 |

Issue number | 2 |

DOIs | |

State | Published - Aug 1 1992 |

Externally published | Yes |

## Keywords

- 02
- 42.55
- 42.65

## ASJC Scopus subject areas

- General Engineering