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Proceedings Paper

Mathematical model for optical smoothing prediction of high-spatial-frequency surface errors
Author(s): Pravin K. Mehta; Paul B. Reid
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Paper Abstract

This paper describes a mathematical model, called the Bridging model, for predicting the smoothing of high spatial frequency surface errors in optical surfaces during polishing processes, which use large flexible polishing laps. The mathematical model is developed in two stages. First, the Kirchoff flat plate equation, which is modified to include the effect of shear flexibility of the lap and compressive stiffness of the pitch, is solved for lap pressure distribution over a surface error feature represented by a sinusoidal spectrum. This pressure distribution is used as an input to the Preston's equation for material removal rate. The resulting equation is then solved for material removal and surface error smoothing predictions. Available data from a laboratory test and a real optics fabrication program are compared with analytical predictions of the mathematical model. Good correlation is obtained between the two.

Paper Details

Date Published: 28 September 1999
PDF: 13 pages
Proc. SPIE 3786, Optomechanical Engineering and Vibration Control, (28 September 1999); doi: 10.1117/12.363825
Show Author Affiliations
Pravin K. Mehta, Raytheon Optical Systems (United States)
Paul B. Reid, Raytheon Optical Systems (United States)


Published in SPIE Proceedings Vol. 3786:
Optomechanical Engineering and Vibration Control
Eddy A. Derby; Eddy A. Derby; Colin G. Gordon; Colin G. Gordon; Daniel Vukobratovich; Carl H. Zweben; Daniel Vukobratovich; Paul R. Yoder; Carl H. Zweben, Editor(s)

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