Fractal Surface Finish

Eugene L. Church

doi:10.1117/12.942165

9 August 1988 Fractal Surface Finish

Eugene L. Church

Proceedings Volume 0830, Grazing Incidence Optics for Astronomical and Laboratory Applications; (1988) https://doi.org/10.1117/12.942165
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

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.

Citation Download Citation

Eugene L. Church "Fractal Surface Finish", Proc. SPIE 0830, Grazing Incidence Optics for Astronomical and Laboratory Applications, (9 August 1988); https://doi.org/10.1117/12.942165

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