S.K. Srinivasan

Photocount statistics of Gaussian light of time limited spectral profile

The letter presents a general method of arriving at the generating function of the photocount distribution corresponding to Gaussian light characterised by time limited spectral profile.

A Non-Markov Model of Cavity Radiation and Its Detection

Some of the implications of non-Markov evolution of cavity radiation and its detection are examined. The cavity photons are modelled as members of a population governed by a Bellman-Harris process supported by immigration. Further it is assumed that there is a detector near the cavity and the photosensitive atoms of the detector absorb the photons with a uniform probability η per unit time. Explicit expressions for the first two moments of the equilibrium cavity distribution are provided. A general formula for the spectral profile is also given. The Markov model of Shepherd is recovered as a special case. A detailed analysis is provided for a special case in which the photon is assumed to go through two hypothetical phases before it gives rise to cavity absorption or stimulated emission. A noteworthy feature is the persistence of bunching, although the bunching is less than that of chaotic light.

Photon Counting Statistics of a Stationary Gaussian Field with Brillouin Spectrum

The statistical characteristics of a stationary gaussian field endowed with Brillouin spectrum are studied. A closed-form expression for the exact one-fold generating function (g.f.) corresponding to the arbitrary count rates and the sample times is derived. The time-interval distribution of the photon counting statistics is extracted from the g.f. without resort to any approximate procedures. Comparison with the earlier results obtained by use of the approximate methods shows that the error in such approximations is considerable.

Photocount statistics of gaussian light with analytic spectral profile

Abstract The letter derives an explicit expression for the generating function of the photocount distribution corresponding to gaussian light characterized by a triangle-shaped correlation function. The first six moments are compared with those derived from the approximate formula of Rice.

Generation of antibunched light by an inhibited poisson stream

A model of a conditioned Poisson stream of events is proposed in which the intensity is a Markov chain assuming the values f, g, 0 with 0 < f < g. The conditioned Poisson process is specified by assuming that an emission results in the intensity making a transition to the next lower value. In the absence of emissions, the intensity which is a process by itself has a propensity to move up in its state space, the residence time in any state being exponentially distributed with parameter n. It is shown that such a model of emissions possesses antibunching and sub-Poisson properties.

A Non-markovian Model of Photodetection of Cavity Radiation

A non-markovian model of the detection of cavity photons is proposed. The cavity photons interact with the atoms of the detector in a two-stage process, while the evolution of the cavity photons is modelled, as usual, as a population process with constant rate parameters. The joint distribution of the cavity photons and the number of detected photoelectrons is studied. The results corresponding to the markovian model proposed by Shepherd are recovered by an appropriate limiting procedure. Some simple characteristics of the twofold counting statistics are also obtained. In particular, the memory effects of two-stage detection are shown to result in a depletion of bunching; the shape of the spectrum (in the time domain), while similar to that obtained using the Shepherd model, is depressed pointwise by a memory-dependent factor.

Analysis of characteristics of light generated by a space-charge-limited electron stream

The point process generated by a space-charge-limited electron stream is studied and the characteristics of light generated by such a stream are analysed. Explicit formulae for the spectral profile and the variance of the photocounts are derived.

A Non-markov Model of Cavity Radiation: II. Antibunched and Sub-poissonian Statistics

Abstract 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.

Stochastic perturbation of a stable deterministic plasma system

A canonical model is proposed for a plasma system under the influence of stationary random fluctuations and its implication on the Liapunov stability of the stationary equilibria is studied.

Photocount statistics of Gaussian light of arbitrary spectral profile

Abstract The letter presents a general method of arriving at the generating function of the photocount distribution corresponding to Gaussian light beams of arbitrary spectral profile and centre frequency.