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Propagating a wave through turbulence not only reduces the Strehl ratio, but also changes the beam shape. Mellin transform techniques can be used to calculate the beam shape using the same technique as previously applied. Determining the beam shape simply adds another parameter to an integral. The beam profile after propagating through uncorrected turbulence, or through a medium with turbulence-induced beam jitter present, or with anisoplanatic effects can all be represented as special cases of a general integral. Results from evaluating the general integral are used to find the average beam profiles for the three specific cases.
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