Line-Profile Effects in Stimulated Scattering

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Abstract
The enhanced scattering that occurs when an interaction takes place in the presence of a stimulating beam is shown to be an integral of the phase-space density of the stimulating beam over a surface in momentum space. For a narrow line profile this surface may be considered plane and its orientation is determined by the kinematics of the scattering event. An effective band width is defined by normalizing the enhanced scattering with respect to the space density of the stimulating beam, and this is interpreted as being the width of the line profile perpendicular to the plane of integration for the enhanced scattering. This geometric picture gives a simple estimate of the effective band width for use in the general theory of stimulated scattering. The effective band widths are given for some particular line profiles, including those appropriate to laser beams, and the results are applied to some proposed experiments on photon-photon and electron-photon scattering.

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