Controlling speckle using lenses and free space

Kelly, Damien P.; Ward, Jennifer E.; Gopinathan, Unnikrishnan; Sheridan, John T.

doi:10.1364/ol.32.003394

Cited by 21 publications

(18 citation statements)

References 15 publications

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“…Static speckles in a free-space configuration are orientated radially toward the origin of the optical system [1,3,4], and the longitudinal correlation length is dependent on x and y [11,12]. We note, however, that the speckle orientation and the speckle size (lateral width and longitudinal length) can be varied by introducing a lens into the system [13]. More importantly, in some particular paraxial systems, i.e., a Fourier transform system, the longitudinal length of the speckles become independent of x and y [4].…”

Section: Introductionmentioning

confidence: 87%

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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Section: Introductionmentioning

confidence: 87%

Speckle orientation in paraxial optical systems

Kelly

Kirner

et al. 2012

Appl. Opt.

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“…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]. Such methods have been shown to be of great convenience when examining speckle size and controlling speckle characteristics in various paraxial optical systems [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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

Kelly

Sheridan

2011

J. Opt. Soc. Am. A

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“…The measurement process, including the resolution and dynamic range of the system, thus depended critically on the speckle correlation properties. In order to design and interpret the results from such systems it was necessary to determine how the speckle evolved as it passed through apertures and through QPSs [6][7][8][9]. In our most recent work in this area we have shown how longitudinal and lateral speckle size depends on the aperture (shape, size) and varies on-and off-axis [10][11].…”

Section: Iwa1pdfmentioning

confidence: 99%

A Review of Some Recent Work in the Area of Imaging and Optical Signal Processing

Sheridan

2010

Imaging Systems

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A concise review is presented of research recently carried out within our research group. Topics discussed include: (i) Imaging through turbulent media using Lucky Imaging combined with synthetic apertures; (ii) Numerical algorithms and simulation of quadratic phases systems, i.e. the Fast Linear Canonical Transform, appropriate sampling, aliasing and the Wigner Distribution Function; (iii) Controlling speckle in such optical systems and speckle based metrology; (iv) Digital holographic systems and their application; and (v) Optical encryption and multiplexing.

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Controlling speckle using lenses and free space

Cited by 21 publications

References 15 publications

Speckle orientation in paraxial optical systems

Speckle orientation in paraxial optical systems

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

A Review of Some Recent Work in the Area of Imaging and Optical Signal Processing

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