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

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dc.contributor.author Li, Dayan
dc.contributor.author Kelly, Damien P.
dc.contributor.author Sheridan, John T.
dc.date.accessioned 2011-11-28T15:01:01Z
dc.date.available 2011-11-28T15:01:01Z
dc.date.copyright 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. en
dc.date.issued 2011-09-01
dc.identifier.citation Journal of the Optical Society of America A en
dc.identifier.issn 1084-7529
dc.identifier.uri http://hdl.handle.net/10197/3351
dc.description.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. en
dc.description.sponsorship Science Foundation Ireland en
dc.format.extent 637262 bytes
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Optical Society of America en
dc.rights 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. en
dc.subject.lcsh Speckle en
dc.subject.lcsh Diffraction en
dc.subject.lcsh Fourier transform optics en
dc.title Three-dimensional static speckle fields. Part I. Theory and numerical investigation en
dc.type Journal Article en
dc.internal.availability Full text available en
dc.internal.webversions Publisher's version en
dc.internal.webversions http://dx.doi.org/10.1364/JOSAA.28.001896 en
dc.status Peer reviewed en
dc.identifier.volume 28 en
dc.identifier.issue 9 en
dc.identifier.startpage 1896 en
dc.identifier.endpage 1903 en
dc.identifier.doi 10.1364/JOSAA.28.001896
dc.neeo.contributor Li|Dayan|aut| en
dc.neeo.contributor Kelly|Damien P.|aut| en
dc.neeo.contributor Sheridan|John T.|aut| en
dc.description.othersponsorship University College Dublin–China Scholarship Council joint scholarship en
dc.description.admin ti, ab - kpw9/11/11 en


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