This paper examines the nature of the interaction of rapidly scanning, coherent light beams with linear dispersive optical elements. The analytical technique used is to represent a scanning beam by a sum of plane waves of different frequencies, traveling in different directions. The response of the optical element to each component plane wave is computed and then the responses are added. It is found, for example, that a dispersive element can transform a scanning beam into an amplitude-modulated plane wave, or conversely, transform an amplitude-modulated plane wave into a scanning beam.

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