Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing

Peng Su, James H Burge, Robert A. Sprowl, Jose M Sasian

Research output: Chapter in Book/Report/Conference proceedingConference contribution

38 Citations (Scopus)

Abstract

Interferometers accurately measure the difference between two wavefronts, one from a reference surface and the other from an unknown surface. If the reference surface is near-perfect or is accurately known from some other test, then the shape of the unknown surface can be determined. We investigate the case where neither the reference surface nor the surface under test is known. By making multiple modulated measurements where both surfaces are translated and rotated, we obtain sufficient information to reconstruct the figure of both surfaces. We have developed software that provides a maximum likelihood estimation of both surfaces, as well as an assessment of the quality of the reconstruction. This was demonstrated for the measurement of a large flat mirror, using a smaller reference mirror that has significant shape errors.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume6342 II
DOIs
StatePublished - 2006
EventInternational Optical Design Conference 2006 - Vancouver, BC, Canada
Duration: Jun 4 2006Jun 8 2006

Other

OtherInternational Optical Design Conference 2006
CountryCanada
CityVancouver, BC
Period6/4/066/8/06

Fingerprint

Maximum likelihood estimation
apertures
Testing
Mirrors
mirrors
Wavefronts
Interferometers
interferometers
computer programs

Keywords

  • Absolute surface shape metrology
  • Interferometry
  • Maximum likelihood estimation
  • Modulated sub-aperture interferometric testing
  • Optical testing
  • Sub-aperture testing

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Su, P., Burge, J. H., Sprowl, R. A., & Sasian, J. M. (2006). Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 6342 II). [63421X] https://doi.org/10.1117/12.692233

Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing. / Su, Peng; Burge, James H; Sprowl, Robert A.; Sasian, Jose M.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6342 II 2006. 63421X.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Su, P, Burge, JH, Sprowl, RA & Sasian, JM 2006, Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 6342 II, 63421X, International Optical Design Conference 2006, Vancouver, BC, Canada, 6/4/06. https://doi.org/10.1117/12.692233
Su P, Burge JH, Sprowl RA, Sasian JM. Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6342 II. 2006. 63421X https://doi.org/10.1117/12.692233
Su, Peng ; Burge, James H ; Sprowl, Robert A. ; Sasian, Jose M. / Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 6342 II 2006.
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