Abstract

Within the framework of complex ABCD-matrix theory, exact theoretical expressions are derived for the space–time-lagged cross-covariance functions of the fields valid for arbitrary (complex) ABCD-optical systems, i.e., systems that include Gaussian-shaped apertures and partially developed speckle. Specifically, we show and discuss the results for the three generic systems, i.e., free-space propagation, Fourier transform configuration, and imaging. To cope with various surface structures of varying rms surface heights, we apply two models in addition to employing the usual model for surfaces giving rise to fully developed speckle. The theoretical results found for free-space propagation are supported by interferometrically obtained data.

© 2006 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Dynamic laser speckle in complex ABCD optical systems

H. T. Yura, B. Rose, and S. G. Hanson
J. Opt. Soc. Am. A 15(5) 1160-1166 (1998)

Three-dimensional speckle dynamics in paraxial optical systems

H. T. Yura, S. G. Hanson, R. S. Hansen, and B. Rose
J. Opt. Soc. Am. A 16(6) 1402-1412 (1999)

Speckle dynamics from in-plane rotating diffuse objects in complex ABCD optical systems

H. T. Yura, B. Rose, and S. G. Hanson
J. Opt. Soc. Am. A 15(5) 1167-1173 (1998)

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 (44)

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