This paper discusses models for the topographic finish of single-point machined surfaces which involve the randomization or "jittering" of one or more machining parameters. Results are described in terms of the two statistical properties of finish which are important for optical surfaces: its root-mean-square surface roughness and its power spectral density. Analytic examples are presented to illustrate general results and to provide a touchstone for more realistic numerical computations. These results are also directly applicable to the discussion of ruling errors in diffraction gratings.

Date Published: 13 February 1987
PDF: 11 pages
Proc. SPIE 0676, Ultraprecision Machining and Automated Fabrication of Optics, (13 February 1987); doi: 10.1117/12.939528

Published in SPIE Proceedings Vol. 0676:
Ultraprecision Machining and Automated Fabrication of Optics
Donald L. Decker, Editor(s)