Zeitschrift für Physik B Condensed Matter

, Volume 38, Issue 4, pp 365–380 | Cite as

Analytic description of optical bistability including spatial effects

  • H. I. Carmichael
  • J. A. Hermann


Steady-state features for both absorptive and dispersive bistability are obtained analytically with the inclusion of spatial effects. Both Fabry-Perot and ring-cavity geometries are treated using an analytic integration of coupled field equations for counter-propagating waves in a homogeneously broadened two-level medium. The mean-field limit is rigorously introduced starting from exact solutions. Mean-field state equations for both Fabry-Perot and ring cavities are obtained. In the former case explicit comparisons are made with results arising in the approximate treatment of standing waves.


Neural Network Exact Solution Analytic Description Field Equation State Equation 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • H. I. Carmichael
    • 1
  • J. A. Hermann
    • 2
  1. 1.Center for Statistical Mechanics and ThermodynamicsUniversity of Texas at AustinAustinUSA
  2. 2.Optics Section, Physics DepartmentImperial CollegeLondonEngland

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