Three-dimensional static speckle fields Part II Experimental investigation

Li, Dayan; Kelly, Damien P.; Sheridan, John T.

doi:10.1364/josaa.28.001904

Cited by 21 publications

(29 citation statements)

References 11 publications

(30 reference statements)

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“…In Part II [21], the prediction of the model are verified against experimental results for both lateral and longitudinal speckle decorrelations and on-and off-axis cases.…”

Section: Resultsmentioning

confidence: 91%

“…Equation (12) indicates that the out-of-plane displacement of the diffuser can be estimated in the observation plane using the off-axis speckle correlation values, by substituting the longitudinal camera displacement ε with the out-of-plane displacement of the object surface, while keeping the camera position steady. The quantitative relationship between the parameters in the equation is verified experimentally in Part II [21].…”

Section: B Interpretationmentioning

confidence: 77%

“…In this two part paper we first numerically (Part I) and second experimentally (Part II [21]) determine this correlation function and compare it to the predictions of the appropriate physical model. We note that performing such a comparison is not straightforward.…”

Section: Introductionmentioning

confidence: 99%

“…In Part II [21], we present accurate experimental measurements to determine the resulting correlation coefficients. The variation of the decorrelation function with respect to off-axis position is specifically examined, leading to a novel optical axis identification and alignment technique.…”

Section: Introductionmentioning

confidence: 99%

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

Kelly

Sheridan

2011

J. Opt. Soc. Am. A

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“…In Part II [21], the prediction of the model are verified against experimental results for both lateral and longitudinal speckle decorrelations and on-and off-axis cases.…”

Section: Resultsmentioning

confidence: 91%

Section: B Interpretationmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Kelly

Sheridan

2011

J. Opt. Soc. Am. A

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“…In order for this assumption to be strictly valid, it requires that the statistical properties of a speckle field are stationary [9,10], i.e., depend only on the distance between the two spatial coordinates and not on their actual spatial locations. In general paraxial systems, this is not true-the correlation function has a spatial dependency for a Fresnel system [11,12]; however, as we shall see later, it does hold for a Fourier transforming system. Despite this important reservation we have found that the spatial averaging technique works quite well for the experimental systems we have looked at.…”

Section: Introductionmentioning

confidence: 98%

Speckle orientation in paraxial optical systems

Kelly

Kirner

et al. 2012

Appl. Opt.

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The statistical properties of speckles in paraxial optical systems depend on the system parameters. In particular, the speckle orientation and the lateral dependence (x and y) of the longitudinal speckle size can vary significantly. For example, the off-axis longitudinal correlation length remains equal to the onaxis size for speckles in a Fourier transform system, while it decreases dramatically as the observation position moves off axis in a Fresnel system. In this paper, we review the speckle correlation function in general linear canonical transform (LCT) systems, clearly demonstrating that speckle properties can be controlled by introducing different optical components, i.e., lenses and sections of free space. Using a series of numerical simulations, we examine how the correlation function changes for some typical LCT systems. The integrating effect of the camera pixel and the impact this has on the measured first-and second-order statistics of the speckle intensities is also examined theoretically. A series of experimental results are then presented to confirm several of these predictions. First, the effect the pixel size has on the measured first-order speckle statistics is demonstrated, and second, the orientation of speckles in a Fourier transform system is measured, showing that the speckles lie parallel to the optical axis.

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