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Motion of hot spots in smoothed beams

L. Videau, C. Rouyer, J. Garnier, and A. Migus

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Abstract

We develop a statistical model that describes the motion of a hot spot created by smoothing techniques. We define clearly the transverse and longitudinal instantaneous velocities of a hot spot and quantify its lifetime. This relevant parameter is found to be longer than the laser coherence time defined as the inverse of the spectrum bandwidth. We apply this model to the most usual smoothing techniques, using a sinusoidal phase modulation or a random spectrum. We give asymptotic results for hot spot velocities and lifetime for the cases of one-dimensional smoothing by spectral dispersion, smoothing by longitudinal spectral dispersion, and smoothing by optical fiber.

© 1999 Optical Society of America

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