This work presents an approach for constructing equations describing the effects of atmospheric turbulence on propagating light based on equations and concepts that will be familiar to those with a background in paraxial wave-optics modeling. The approach is developed and demonstrated by working through three examples of increasing complexity: the variance and power spectral density of the aperture-averaged phase gradient (G tilt) on a point-source beacon, the variance of the Zernike tilt difference between two physically separated point-source beacons, and the irradiance-weighted average phase gradient (centroid tilt) and target-plane jitter variance for a generic beam. The first two results are shown to be consistent with the existing literature; the third is novel, and it is shown to agree with wave optics and to be consistent with the literature in the special case of a Gaussian beam.
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| http://dx.doi.org/10.1364/JOSAA.36.001267 | DOI Listing |
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