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

K speckle: space–time correlation function of doubly scattered light in an imaging system

Not Accessible

Your library or personal account may give you access

Abstract

The scattering of coherent monochromatic light at an optically rough surface, such as a diffuser, produces a speckle field, which is usually described by reference to its statistical properties. For example, the real and imaginary parts of a fully developed speckle field can be modeled as a random circular Gaussian process. When such a speckle field is used to illuminate a second diffuser, the statistics of the resulting doubly scattered field are in general no longer Gaussian, but rather follow a K distribution. In this paper we determine the space–time correlation function of such a doubly scattered speckle field that has been imaged by a single lens system. A space–time correlation function is derived that contains four separate terms; similar to the Gaussian case it contains an average DC term and a fluctuating AC term. However, in addition there are two terms that are related to contributions from each of the diffusers independently. We examine how our space–time correlation function varies as the diffusers are rotated at different speeds and as the point spread function of the imaging system is changed. A series of numerical simulations are used to confirm different aspects of the theoretical analysis. We then finish with a discussion of our results and some potential applications, including controlling spatial coherence and speckle reduction.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Speckle suppression by doubly scattering systems

Dayan Li, Damien P. Kelly, and John T. Sheridan
Appl. Opt. 52(35) 8617-8626 (2013)

Statistical properties of doubly scattered image speckle

Takeaki Yoshimura and Kazuo Fujiwara
J. Opt. Soc. Am. A 9(1) 91-95 (1992)

Speckle from a cascade of two thin diffusers

Lyle G. Shirley and Nicholas George
J. Opt. Soc. Am. A 6(6) 765-781 (1989)

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 (8)

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

Equations (26)

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