Three-dimensional static speckle fields. Part I. Theory and numerical investigation

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Title: Three-dimensional static speckle fields. Part I. Theory and numerical investigation
Authors: Li, Dayan
Kelly, Damien P.
Sheridan, John T.
Permanent link: http://hdl.handle.net/10197/3351
Date: 1-Sep-2011
Abstract: When monochromatic light is scattered from an optically rough surface a complicated three-dimensional (3D) field is generated. These fields are often described by reference to the 3D volume (extent) of their speckles, leading to the definition of lateral (x; y) and longitudinal speckle sizes (z). For reasons of mathematical simplicity the longitudinal speckle size is often derived by examining the decorrelation of the speckle field for a single point lying on axis, i.e., x=y=0, and this size is generally assumed to be representative for other speckles that lie further offaxis. Some recent theoretical results, however, indicate that in fact longitudinal speckle size gets smaller as the observation position moves to off-axis spatial locations. In this paper (Part I), we review the physical argument leading to this conclusion and support this analysis with a series of robust numerical simulations. We discuss, in some detail, computational issues that arise when simulating the propagation of speckle fields numerically, showing that the spectral method is not a suitable propagation algorithm when the autocorrelation of the scattering surface is assumed to be delta correlated. In Part II [J. Opt. Soc. Am. A 28, 1904 (2011)] of this paper, experimental results are provided that exhibit the predicted variation of longitudinal speckle size as a function of position in x and y. The results are not only of theoretical interest but have practical implications, and in Part II a method for locating the optical system axis is proposed and experimentally demonstrated.
Funding Details: Science Foundation Ireland
Type of material: Journal Article
Publisher: Optical Society of America
Copyright (published version): This paper was published in Journal of the Optical Society of America. A, Optics and image science and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josaa/abstract.cfm?uri=josaa-28-9-1896. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Subject LCSH: Speckle
Diffraction
Fourier transform optics
DOI: 10.1364/JOSAA.28.001896
Language: en
Status of Item: Peer reviewed
Appears in Collections:Electrical and Electronic Engineering Research Collection

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