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(11)¡¡Generation and properties of laser speckle with
long correlation tails
¡¡¡¡¡¡¡¡Saratov Fall Meeting 2001: Coherent Optics of Ordered and Random Media II,
ed. D. A. Zimnyakov,
¡¡¡¡¡¡¡¡Proceedings of SPIE, Vol.4705, pp.95-106, 2002-4
¡¡Speckle patterns produced by scattering in random media are sometimes employed
as tools for optical measurements and information processing. In those applications
of speckles, spatial and temporal correlation properties play sometimes fundamental
roles. Therefore, design and control of correlation properties in the scattered
fields are an attractive and important subject. From this viewpoint, two types
of speckle patterns having extraordinary spatial correlations are reviewed and
discussed in this article. The first type of scattered fields is nondiffracting,
or propagation-invariant speckles. This type of waves have Bessel-type long tails
in transverse intensity correlations and extremely long correlation in the propagation
direction. Two schemes for generating nondiffracting speckles by means of an annular
aperture and an axicon lens are described. Relations to general nondiffracting
beams are also discussed briefly. The second type of waves having long-range correlations
is fractal speckles, which have negative power-law intensity correlations in lateral
and longitudinal directions. Results of computer simulations are shown for fractal
speckles with wide range of a parameter D governing the spatial extent of correlations.
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