1999
DOI: 10.1364/josaa.16.001402
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Three-dimensional speckle dynamics in paraxial optical systems

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Cited by 32 publications
(34 citation statements)
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“…If ε → 0, we find that any decorrelation will be dependent on the variable γ only, i.e., the decorrelation does not depend on the spatial location in x and y. This is consistent with the analysis presented in [3][4][5][6]13].…”
Section: B Interpretationsupporting
confidence: 90%
See 1 more Smart Citation
“…If ε → 0, we find that any decorrelation will be dependent on the variable γ only, i.e., the decorrelation does not depend on the spatial location in x and y. This is consistent with the analysis presented in [3][4][5][6]13].…”
Section: B Interpretationsupporting
confidence: 90%
“…Later, the 3D space-time crosscorrelation function for free-space geometry under Gaussian beam illumination was presented by Yoshimura and Iwamoto [5]. In 1999, the work in [5] was extended by Yura et al [6] to include other paraxial optical systems and soft Gaussian apertures using the ABCD matrix theory with complex values for the system parameters. Recently, a generalized Yamaguchi correlation factor was derived using the Linear Canonical Transform and the associated ABCD matrix theory for a hard limiting aperture [7,8].…”
Section: Introductionmentioning
confidence: 99%
“…As the object and the object plane move along the z-axis, the 3D speckles will move along, as long as the beam parameters in the object plane remain constant. This is in full agreement with predictions in the literature [15,16] for a static (jv xy 0j) object, where the observation plane is scanned along the z-axis instead. However, as we shall come back to later, the individual 3D speckles are not aligned exactly with these lines.…”
Section: A Speckle Dynamics Due To 3d Movement Of An Objectsupporting
confidence: 91%
“…This is in full agreement with the prediction for dynamic speckles given by [15]. However, this result is not in agreement with [16], where the 1∕2 factor in Eqs. (11) and (16) is replaced with the incorrect factor of 1.…”
Section: A Speckle Dynamics Due To 3d Movement Of An Objectsupporting
confidence: 60%
“…Studies have shown that this speckle size is dependent on the propagation distance, z (from the illuminated rough surface), the wavelength of light, , and the size of the illuminating spot [9,10] or scattering aperture [11,12]. These studies use a Fresnel transform (FST) to propagate the light field from the optically rough surface or between two phase-space planes [13]. By using the LCT instead of the FST we derive the corresponding speckle size expressions for general paraxial systems.…”
mentioning
confidence: 99%