Experimental study of the angular correlation function in the double passage of waves through a one-dimensional random phase screen

Abstract

Experimental results are presented for the angular correlation function of far-field speckle patterns scattered in the double passage of waves through B one-dimensional random phase screen. The experiment for the correlation measurement was set up to use a CCD camen to obtain the image of the speckle patterns in the scattering directions for each given angle of incidence; the cross-correlation function is then calculated from the digitized images. The theoretical analysis of the motion of the speckle as the source is moved, as given by Escamilla, is verified experimentally. It is found that in contrast with the memory effect line of speckle motion, the speckle pattern produced in the region of observation tracks the backscattering direction.

Speckle correlations around the backscattering direction in the double-passage configuration

“…[1][2][3][4] Taking into account multiple scattering, correlations in light scattering from rough surfaces were investigated. [5][6][7][8] Recently, an additional short-range correlation C ͑10͒ was predicted; it shows the symmetry of speckles around the specular direction in the far-field scattering from a rough surface. 9,10 Similarly, a theoretical analysis of the symmetry of speckle patterns around the backscattering direction and the motion of the speckles as the source is moved was carried out by Escamilla et al 11 This study was performed to verify the theoretical predictions by Escamilla et al 11 and to explore the extent to which the new phenomena can be realized.…”

High-order correlation from rough surface scattering

“…The short-range correlation, also known as memory effect, is the dominant part in the system where the dimension in the direction of the light propagation is much smaller than that in the direction perpendicular to it. (9") Recently, McGurn and Maradudin have predicted an additional short-range correlation C (10), which shows the symmetry of the speckle pattern around the specular direction in the far-field scattering from a rough surface. (') The long-range and infinite-range correlations will be the dominate part in the system where the dimension in the direction of the light propagation is larger than that in the direction perpendicular to it.…”