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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 31 — Nov. 1, 1994
  • pp: 7339–7342

Polynomial fitting of interferograms with Gaussian errors on fringe coordinates. I: Computer simulations

A. Cordero-Dávila, A. Cornejo-Rodríguez, and O. Cardona-Nuñez  »View Author Affiliations


Applied Optics, Vol. 33, Issue 31, pp. 7339-7342 (1994)
http://dx.doi.org/10.1364/AO.33.007339


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Abstract

A series of simulations were made for an ideal Twyman–Green interferogram of equally spaced straight fringes having tilt only about x. It was found that fitting polynomials to the interferometric data resulted in biased estimates of some of the fitting coefficients to the optical path difference. The acceptance of the Seidel aberrations grows with the noise level and diminishes when the number of fringes is increased.

© 1994 Optical Society of America

History
Original Manuscript: March 30, 1992
Revised Manuscript: February 17, 1994
Published: November 1, 1994

Citation
A. Cordero-Dávila, A. Cornejo-Rodríguez, and O. Cardona-Nuñez, "Polynomial fitting of interferograms with Gaussian errors on fringe coordinates. I: Computer simulations," Appl. Opt. 33, 7339-7342 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-31-7339

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