Abstract

We present numerical studies of optical bistability which admit variations in both space and time in the governing c-number equations. We justify mean field theory for both the steady state and time dependent regimes for low enough cavity transmissivity T: but for T ⩾ 0.2 mean field theory is scarcely applicable. Higher harmonic fields are important at low T (high reflexion). As expected the steady state hysterisis behaviour at low T is considerably modified in the time dependent regime. Transistor action at high T ∼ 0.9 is described. In general the numerical results show good qualitative agreement with the experiment of Gibbs et al.

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