Abstract

We present a method of image-speckle contrast for the nonprecalibration measurement of the root-mean-square roughness and the lateral-correlation length of random surfaces with Gaussian correlation. We use the simplified model of the speckle fields produced by the weak scattering object in the theoretical analysis. The explicit mathematical relation shows that the saturation value of the image-speckle contrast at a large aperture radius determines the roughness, while the variation of the contrast with the aperture radius determines the lateral-correlation length. In the experimental performance, we specially fabricate the random surface samples with Gaussian correlation. The square of the image-speckle contrast is measured versus the radius of the aperture in the 4f system, and the roughness and the lateral-correlation length are extracted by fitting the theoretical result to the experimental data. Comparison of the measurement with that by an atomic force microscope shows our method has a satisfying accuracy.

© 2002 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Measurement of surface parameters from autocorrelation function of speckles in deep Fresnel region with microscopic imaging system

Chunxiang Liu, Qingrui Dong, Haixia Li, Zhenhua Li, Xing Li, and Chuanfu Cheng
Opt. Express 22(2) 1302-1312 (2014)

Measurement of surface roughness properties by using image speckle contrast

Hitoshi Fujii, Toshimitsu Asakura, and Yoshio Shindo
J. Opt. Soc. Am. 66(11) 1217-1222 (1976)

Evolutions of speckles on rough glass/silver surfaces with film thickness

Meina Zhang, Zhenhua Li, Xiaoyi Chen, Guotao Liang, Shuyun Wang, Shuyun Teng, and Chuanfu Cheng
Opt. Express 21(7) 8831-8842 (2013)

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 (5)

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

Equations (24)

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