Propagation of second-order moments of general truncated beams in atmospheric turbulence

Physics

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Scientific paper

Based on the partial-coherence theory and the method of the window function being expanded into a finite sum of complex-valued Gaussian functions, the analytic expressions for second-order moments of general truncated beams propagating through atmospheric turbulence are derived, from which some important characteristic parameters, such as the mean-squared beam width, the angular spread, the beam propagation factor (i.e. M2-factor), the Rayleigh range and the effective radius of curvature are also derived. It is shown that general truncated beams may have the same directionality as a fully coherent Gaussian beam if a certain condition is satisfied. Taking a truncated sinh-Gaussian beam as an example of general truncated beams, some numerical calculations are performed to illustrate the general results obtained in this paper. The analytic results obtained in this paper are general and very useful in studying the propagation property and the beam quality of laser beams.

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