U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

Modal Reconstruction of Aspheric Surfaces From Experimental Second Derivatives

Published

Author(s)

Nadia Machkour-Deshayes, Byoung C. Kim, Robert S. Polvani, Ulf Griesmann

Abstract

A method for the measurement of precise aspheric optical surfaces based on measurements of the second derivatives of the surface is evaluated. A compact phase-measuring interferometer is used to determine the second derivatives of a surface on a survey grid. A reconstruction algorithm, based on a model for the surface, is then applied to the derivative data to reconstruct the surface. The effect of measurement uncertainties on the uncertainty of the reconstructed surface is evaluated.
Proceedings Title
Proceedings
Conference Dates
May 23-26, 2005
Conference Location
Marrakech, 1, USA
Conference Title
CIR05 Conference
Pub Type
Conferences

Keywords

curvature measurements, local geometry, modal method, precision optics, precision surfaces, surface reconstruction, Zernike polynomial

Citation

Machkour-Deshayes, N. , Kim, B. , Polvani, R. and Griesmann, U. (2021), Modal Reconstruction of Aspheric Surfaces From Experimental Second Derivatives, Proceedings, Marrakech, 1, USA (Accessed April 29, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created October 12, 2021