Articles

Measurement optimization in speckle interferometry: the influence of the imaging lens aperture

[+] Author Affiliations
Mathias Lehmann

Swiss Federal Institute of Technology, Laboratory of Stress Analysis, CH-1015 Lausanne, Switzerland

Opt. Eng. 36(4), 1162-1168 (Apr 01, 1997). doi:10.1117/1.601305
History: Received Aug. 26, 1996; Revised Dec. 9, 1996; Accepted Dec. 9, 1996
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Abstract

Speckle interferometry has long proven its usefulness for measuring the deformation and contours of objects with rough surfaces. Nevertheless, the influence of a parameter as important as the lens aperture of the imaging system on the result of the measurement is still not precisely known. Generally, it is stated that the speckles must be resolved by the camera and that therefore the lens aperture number should be large enough (e.g., f/11 or f/16 for typical applications with a standard CCD). It is shown, theoretically as well as experimentally, that it is not necessary to resolve the speckles when making measurements in speckle interferometry. The joint probability distribution of the pixel modulation and the pixel background intensity, which determines the percentage of valid pixels, is investigated for different lens aperture numbers, i.e., for different numbers of speckles per pixel. The comparison between theory and the experimental counterpart enables a number of speckles per pixel to be determined for any given aperture number and pixel size. It appears that the average pixel modulation remains high enough even with a relatively large number of speckles per pixel. The results lead to the conclusion that, especially when the total camera noise is low enough, lens apertures up to f/2 can be used. Thus, measurements are less constrained by limited laser power and decorrelation effects. © 1997 Society of Photo-Optical Instrumentation Engineers.

© 1997 Society of Photo-Optical Instrumentation Engineers

Citation

Mathias Lehmann
"Measurement optimization in speckle interferometry: the influence of the imaging lens aperture", Opt. Eng. 36(4), 1162-1168 (Apr 01, 1997). ; http://dx.doi.org/10.1117/1.601305


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