The presence of coherent electromagnetic radiation has a profound effect on the Compton scattering of x rays from electronic systems. Here, two electronic systems are considered---bound electrons in atoms and an electron gas. The scattering cross section is expressed in terms of a power series in even derivatives of the double integral of the electronic-momentum distribution function over →p_⊥, the planar momentum vector perpendicular to →k, the momentum transfer to the electron. It is shown that the effect offers an important experimental technique for measurements of details of electronic-momentum distribution in the scattering system.
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Jain et al. (1978) studied this question.