Zeitschrift für Physik B Condensed Matter

, Volume 59, Issue 1, pp 111–115

Toda potential in laser equations

  • G. L. Oppo
  • A. Politi

DOI: 10.1007/BF01325388

Cite this article as:
Oppo, G.L. & Politi, A. Z. Physik B - Condensed Matter (1985) 59: 111. doi:10.1007/BF01325388


We show that the well known laser rate equations are fully equivalent to the motion in a Toda potential with intensity dependent losses. The dissipative terms are proportional to the square root ε of the ratio between the damping rate of the atomic population inversion and that of the field intensity. The limit case ε≪1 is extensively studied, finding analytical approximations for the period of the oscillations and the energy losses. Feasibility of adiabatic eliminations is also discussed.

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • G. L. Oppo
    • 1
  • A. Politi
    • 1
  1. 1.Istituto Nazionale di OtticaFirenzeItaly
  2. 2.Department of ChemistryUniversity of TorontoTorontoCanada