A Cook Book of Structure Functions

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

paper · pdf · doi:10.48550/arxiv.1504.00320

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.

Citations

• From Differential Image Motion to Seeing

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