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Proceedings Article

Surface evaluation with Ronchi test by using Malacara formula, genetic algorithms, and cubic splines

[+] Author Affiliations
Alberto Cordero-Dávila

Benemérita Univ. Autónoma de Puebla (Mexico)

Jorge González-García

Univ. Tecnológica de la Mixteca (Mexico) and Benemérita Univ. Autónoma de Puebla (Mexico)

Proc. SPIE 7652, International Optical Design Conference 2010, 76521F (September 08, 2010); doi:10.1117/12.868872
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From Conference Volume 7652

  • International Optical Design Conference 2010
  • Julie Bentley; Anurag Gupta; Richard N. Youngworth
  • Jackson Hole, WY | June 13, 2010

abstract

In the manufacturing process of an optical surface with rotational symmetry the ideal ronchigram is simulated and compared with the experimental ronchigram. From this comparison the technician, based on your experience, estimated the error on the surface. Quantitatively, the error on the surface can be described by a polynomial e(ρ2) and the coefficients can be estimated from data of the ronchigrams (real and ideal) to solve a system of nonlinear differential equations which are related to the Malacara formula of the transversal aberration. To avoid the problems inherent in the use of polynomials it proposed to describe the errors on the surface by means of cubic splines. The coefficients of each spline are estimated from a discrete set of errors (ρi,ei) and these are evaluated by means of genetic algorithms to reproduce the experimental ronchigrama starting from the ideal.

© (2010) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Alberto Cordero-Dávila and Jorge González-García
"Surface evaluation with Ronchi test by using Malacara formula, genetic algorithms, and cubic splines", Proc. SPIE 7652, International Optical Design Conference 2010, 76521F (September 08, 2010); doi:10.1117/12.868872; http://dx.doi.org/10.1117/12.868872


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