Abstract

The properties of a speckle pattern are determined by the light source, the rough surface, and the optical system. The degree of correlation of the intensities of two slightly different speckle patterns can be applied to measure surface roughness since it depends on the variance of the surface height distribution. The two speckle patterns are produced by illuminating a rough surface with coherent light of either two different wavelengths or two different angles of incidence. A unified description of the theory for the spectral and angular speckle-correlation methods is presented, and explicit solutions are derived for both far-field and image-plane geometries. The theoretical results essentially yield a factorization of the degree of speckle correlation into a roughness-dependent and a space-dependent part. By maximizing the space-dependent part, one obtains the requirements for experimental arrangements with optimal measuring conditions. Examples of possible setups for each method are presented, and cross references to earlier work published in this field are given.

© 1986 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Spectral correlation of partially or fully developed speckle patterns generated by rough surfaces

Bernd Ruffing and Jürgen Fleischer
J. Opt. Soc. Am. A 2(10) 1637-1643 (1985)

Surface roughness measurement by means of polychromatic speckle elongation

Peter Lehmann, Stefan Patzelt, and Armin Schöne
Appl. Opt. 36(10) 2188-2197 (1997)

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)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Figures (8)

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

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

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

Equations (46)

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

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

Metrics

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

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