Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Speckle field of curved, rotating surfaces of Gaussian roughness illuminated by a laser light spot

Not Accessible

Your library or personal account may give you access

Abstract

The first- and second-order space-time correlation functions of the optical field and the intensity, respectively, are calculated for the case of a rotating symmetrical curved surface with Gaussian roughness, scattering laser light into the far-field zone from a small illuminated spot. The incident beam is either collimated or spherical. The diameter of the illuminated area is small compared with the radii of curvature. The mean surface is approximated by a torus with two principal radii of curvature. The sphere, the cone, and the flat surface are special cases. Optical phase variations linear and quadratic in the surface coordinates are included in the calculation. The surface is assumed to be very rough. It is found that the correlation function of the intensity depends on the radius of the incident beam, the local surface velocity, and the radii of curvature in the illuminated region. Curvature decreases the decay time of the correlation functions. This is confirmed by experiments carried out with the flat disk, the sphere, and the cone. The temporal cross-correlation function of the outputs of two detectors in the speckle field obtained with an incident spherical wave is very sensitive to normal displacements of the surface.

© 1976 Optical Society of America

Full Article  |  PDF Article
More Like This
Real-time measurement of surface roughness by correlation of speckle patterns

D. Léger and J. C. Perrin
J. Opt. Soc. Am. 66(11) 1210-1217 (1976)

Speckle from rough, moving objects*

Nicholas George
J. Opt. Soc. Am. 66(11) 1182-1194 (1976)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (9)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (77)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved