A Cook Book of Structure Functions
Aglae Kellerer
TL;DR
This paper derives practical formulas for structure functions of wavefront phase and slopes within atmospheric turbulence, aiding in atmospheric profiling and adaptive optics system design.
Contribution
It provides new expressions for structure functions applicable within the inertial range, tailored for use in atmospheric turbulence profiling tools.
Findings
Derived formulas valid in the inertial range
Applicable to wavefront phase and slopes
Enhances atmospheric turbulence reconstruction
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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Taxonomy
TopicsAdaptive optics and wavefront sensing · Optical Systems and Laser Technology · Advanced Image Processing Techniques