A perturbative approach to the small scale physics of thermal blooming

Computer Science

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Laser Beams, Light Transmission, Perturbation Theory, Rayleigh Scattering, Thermal Blooming, Fresnel Region, Green'S Functions, Linearization, Plane Waves

Scientific paper

The linearized equations of thermal blooming for an infinite beam in a uniform atmosphere and wind are analytically solved as a perturbation series in blooming for the case of compensated and uncompensated propagation. A Feynman diagram representation of the series is presented. The propagators are used to compute the mutual coherence function (MCF) and Strehl also as a perturbation series in blooming. The dependence of the results on the actuator Fresnel number is discussed along with the relative roles of the phase compensation instability and stimulated thermal Rayleigh scattering. A brief comparison is made with nonlinear numerical simulations to show that the nonlinearities may be neglected.

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