This research is an extension of the optical method of quality control presented in a
previous paper [Appl.
Opt. 39, 5811 (2000)] to
the case of slightly rough cylindrical surfaces. Applying the Kirchhoff scalar
diffraction theory yields an analytical expression of the autocorrelation function of
the intensity scattered from slightly rough cylindrical surfaces. This function,
which is related to speckle size and shape, is shown to depend on the surface
correlation length, unlike for plane surfaces for which the speckle depends on the
illuminated area only. The theoretical expression is compared with that for the
speckle produced by the light scattered from a cylindrical bearing and from various
high-quality wires, showing that the method allows the correlation lengths of
high-quality cylindrical surfaces to be determined.
© 2002 Optical Society of America
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