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A Cook Book of Structure Functions

2015/03/26 by Aglaé Kellerer, Aglae Kellerer, Kellerer, Aglae
Computer Science · Engineering · Physics and Astronomy · #Adaptive optics and wavefront sensing #Advanced Image Processing Techniques #Optical Systems and Laser Technology #physics.data-an #physics.optics

paper · pdf · doi:10.48550/arxiv.1504.00320

arxiv created 2015/03/26 · arxiv updated 2015/04/02

Abstract

The structure function is a useful quantity to characterize wavefront distortions. We derive expressions for the structure functions of the averaged wavefront phase and slopes. The expressions are valid within the inertial range of atmospheric turbulence, and are meant to serve as engineering formulae when reconstructing profiles of the atmospheric turbulence, specifically in the context of atmospheric profiling instruments (e.g. SLODAR and S-DIMM+) and multi-conjugate adaptive optical systems.

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