Abstract
The change of photon statistics of a nearly coherent single-mode light beam travelling through a saturable m-photon-amplifying or absorbing medium ( m = 1, 2, …) is theoretically investigated. With the help of an approximation scheme valid for n ⪢ 1, Δ n 2 ⪡ n 2 ( n mean value and Δ n 2 variance of the photon number) an analytical expression is derived for the quantity Δ n 2/ n . The results holds for arbitrary values of the initial population inversion and of the degree of saturation. It turns out that for both amplification and attenuation processes after sufficiently strong interaction Δ n 2/ n tends to an asymptotic value.
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