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)|
|Number of pages||4|
|Journal||Applied Physics B Photophysics and Laser Chemistry|
|State||Published - Aug 1 1992|
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