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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 22 — Aug. 1, 1999
  • pp: 4812–4820

Digital recording and numerical reconstruction of lensless Fourier holograms in optical metrology

Christoph Wagner, Sönke Seebacher, Wolfgang Osten, and Werner Jüptner  »View Author Affiliations


Applied Optics, Vol. 38, Issue 22, pp. 4812-4820 (1999)
http://dx.doi.org/10.1364/AO.38.004812


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Abstract

Advantages of the lensless Fourier holography setup for the reconstruction of digitally recorded holograms in holographic interferometry are presented. This very simple setup helps to achieve a maximum lateral resolution of the object under investigation. Also, the numerical-reconstruction algorithm is very simple and fast to compute. A mathematical model based on Fourier optics is used to describe discretization effects and to determine the lateral resolution. The recording and the reconstruction processes are regarded as an optical imaging system, and the point-spread function is calculated. Results are verified by an experimental setup for a combined shape and deformation measurement.

© 1999 Optical Society of America

OCIS Codes
(040.1520) Detectors : CCD, charge-coupled device
(070.2590) Fourier optics and signal processing : ABCD transforms
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

History
Original Manuscript: January 25, 1999
Revised Manuscript: May 3, 1999
Published: August 1, 1999

Citation
Christoph Wagner, Sönke Seebacher, Wolfgang Osten, and Werner Jüptner, "Digital recording and numerical reconstruction of lensless Fourier holograms in optical metrology," Appl. Opt. 38, 4812-4820 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-22-4812


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References

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  14. Note that, to avoid a superposition of the two symmetrical virtual images in lensless Fourier holography, the square area must be reduced to 50% of its surface. A rectangle of the size (NΔx)(NΔx/2) can be used, but other area designs are also possible.

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