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Optics Communications

Second-order correlation tensor of n-harmonically scattered light intensity

S. Kielich, M. Kozierowski, R. Tanaś

Published Sep 1, 1975• 4 citations
Publisher
DOI
10.1016/0030-4018(75)90200-x

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Third- and Higher-Order Intensity Correlations in Laser Light

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The statistical properties of fluorescent light from a single two-level atom driven by nonclassical light beams that exhibit antibunching and squeezing are discussed in the weak-field limit. The fields produced in intracavity second-harmonic generation and those produced by superposing the light from a degenerate parametric oscillator with a coherent field are considered to be the models of nonclassical light beams. These fields can be described in terms of real Gaussian random processes with nonzero mean coherent components. Analytical expressions for the fluorescent light intensity, the second-order intensity correlation function, and the variance of the photon number in the steady state are obtained. The effects of driving-field correlations, detuning, and other parameters characterizing the atom-field interaction on the statistics of scattered light are investigated. It is found that for a certain range of parameters the second-order intensity correlation function may vanish at nonzero times. Under certain other circumstances the antibunching of the fluorescent photons is enhanced. These and other interesting features that appear in the scattered light are discussed.
Statistical properties of fluorescent light from a single two-level atom driven by a beam of antibunched light are discussed in the weak field limit. Fields generated by realistic open systems with pumping and dissipation are chosen to be the models for antibunched light. As examples, we consider fields produced in intracavity second harmonic generation and in the homodyned degenerate parametric oscillator. These fields can be described in terms of real Gaussian random processes with coherent components. Analytical expressions for fluorescent light intensity and second order intensity correlation function in the steady state are derived. Effects of driving field correlations, detuning, and parameters characterizing the driving field on the statistics of scattered light are investigated. It is found that over a certain range of parameters characterizing the driving field the second order intensity correlation function may vanish at non-zero time. These and other interesting features will be discussed.
Photon correlations and cross-correlations of light scattered by a regular structure of strongly driven atoms are investigated. At strong driving, the scattered light separates into distinct spectral bands, such that each band can be treated as independent, thus extending the set of observables. We focus on second-order intensity-intensity correlation functions in two- and multi-atom systems. We demonstrate that for a single two-photon detector as, e.g., in lithography, increasing the driving field intensity leads to an increased spatial resolution of the second-order two-atom interference pattern. We show that the cross-correlations between photons emitted in the spectral sidebands violate Cauchy-Schwartz inequalities, and that their emission ordering cannot be predicted. Finally, the results are generalized for multi-particle structures, where we find results different from those in a Dicke-type sample.