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Proceedings Paper

Fractal Surface Finish
Author(s): Eugene L. Church
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Paper Abstract

Surface finish measurements are usually fitted to models of the finish correlation function which are parametrized in terms of root-mean-square roughnesses, σ, and correlation lengths, l. Highly finished optical surfaces, however, are frequently better described by fractal models, which involve inverse power-law spectra and are parametrized by spectral strengths, Kn, and spectral indices, n. Analyzing measurements of fractal surfaces in terms of σ and l gives results which are not intrinsic surface parameters but which depend on the bandwidth parameters of the measurement process used. This paper derives expressions for these pseudo-parameters and discusses the errors involved in using them for the characterization and specification of surface finish.

Paper Details

Date Published: 9 August 1988
PDF: 11 pages
Proc. SPIE 0830, Grazing Incidence Optics for Astronomical and Laboratory Applications, (9 August 1988); doi: 10.1117/12.942165
Show Author Affiliations
Eugene L. Church, U.S. Army Armament Research, Development, and Engineering Center (United States)


Published in SPIE Proceedings Vol. 0830:
Grazing Incidence Optics for Astronomical and Laboratory Applications
C. Stuart Bowyer, Editor(s)

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