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Proceedings Paper

Comparison of the area structure function to alternate approaches for optical surface characterization
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Paper Abstract

The structure function (SF) represents the average height difference squared as a function of separation. The linear SF has been used in astronomy and captures data of all spatial frequencies. However, it does not capture anisotropy on the surface. The one-quadrant area SF has been introduced to represent surface roughness information, but it is inadequate when surfaces are rotationally varying, as is frequently the case for optical surfaces. The recently introduced twoquadrant representation of the area SF can be calculated for any aperture shape, for all spatial content and isotropies. This paper describes the physical interpretation of the two-quadrant area SF and the comparison to area power spectral density (PSD) and area autocorrelation function (ACF) for a range of optical surfaces.

Paper Details

Date Published: 13 September 2012
PDF: 9 pages
Proc. SPIE 8493, Interferometry XVI: Techniques and Analysis, 84930C (13 September 2012); doi: 10.1117/12.929166
Show Author Affiliations
Liangyu He, The Univ. of North Carolina at Charlotte (United States)
Angela Davies, The Univ. of North Carolina at Charlotte (United States)
Chris J. Evans, The Univ. of North Carolina at Charlotte (United States)


Published in SPIE Proceedings Vol. 8493:
Interferometry XVI: Techniques and Analysis
Joanna Schmit; Katherine Creath; Catherine E. Towers; Jan Burke, Editor(s)

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