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Modal Reconstruction of Aspheric Surfaces From Experimental Second Derivatives



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


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
Conference Dates
May 23-26, 2005
Conference Location
Marrakech, 1, USA
Conference Title
CIR05 Conference


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


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 May 25, 2024)


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Created October 12, 2021