A non-markov model of cavity radiation II. Antibunched and sub-poissonian statistics

A detailed analysis is provided of a non-Markov model of cavity population in which each emission gives rise to a random dead-time during which no further emissions can take place . Differential equations are derived for the generating functions governing the cavity population size . The moment structure of the population size is examined and explicit expressions for the first two moments are provided . The photon population statistics are shown to be antibunched for a wide choice of the population parameters . The detection process is analysed and an explicit expression is provided for the Hanbury Brown-Twiss type of correlation . It is further shown that an appropriate choice of the population parameters can produce a thermal stream with Lorentzian profile. © 1987 Journal Of Modern Optics. All rights reserved.