Statistical dynamics of class-B lasers

Year: 1988

Authors: Paoli P., Politi A., Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica, Largo Enrico Fermi, 6, I-50125 Firenze, Italy;
Dipartimento di Fisica, Universitá di Firenze, Italy

Abstract: We present a simplified theory of the statistical behavior of a single mode laser ruled by two slow variables (class B lasers). By applying the center manifold theorem we introduce an improved adiabatic elimination procedure which reduces the description of class B lasers to two modified rate equations in an appropriate state space. The statistical dynamics is further reduced to a one dimensional Fokker-Planck equation in a parameter range corresponding to that where most experiments have been performed. The usefulness of this approach stems from the fact that a previously available theory is based on a two dimensional Fokker-Planck equation and limited to a narrower parameter range around threshold.

Journal/Review: ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER

Volume: 71      Pages from: 403  to: 410

KeyWords: chaos
DOI: 10.1007/BF01312500

Citations: 20
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