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

Three-dimensional static speckle fields Part II Experimental investigation

“…Recently, the longitudinal speckle size has been experimentally examined for Fresnel propagation and single lens linear canonical transform optical system cases, (see [9] and Chapter 8 in [10]). However, in [9,10] the theoretical expressions for the off-axis longitudinal speckle sizes are not consistent with the more physically accurate expression for jμ 12 j 2 , presented in Part I [1]. In Part II of this paper, the results of a detailed series of experiments are presented and compared to the analytic predictions presented in Part I [1].…”

“…Results demonstrating the measurement of the out-of-plane displacement of the ground glass diffuser, in agreement with the predictions of Eq. (12) in Part I [1], are also provided.…”

“…Please note that in the theoretical derivation and the numerical simulation presented in Part I [1], the longitudinal displacement of the speckle fields is achieved in the observation plane. This is different from the experimental setup we present here where longitudinal displacement takes place in the object plane by longitudinally moving the diffuser.…”

“…However, in [9,10] the theoretical expressions for the off-axis longitudinal speckle sizes are not consistent with the more physically accurate expression for jμ 12 j 2 , presented in Part I [1]. In Part II of this paper, the results of a detailed series of experiments are presented and compared to the analytic predictions presented in Part I [1]. It is shown that the experimental results provide consistent verification of the commonly applied physical model (assuming Delta correlated field in the object plane).…”

“…In Part I [1], based on the physical model for fully developed speckle, we reviewed the derivation of the three-dimensional (3D) correlation function jμ 12 j 2 [2][3][4]. Applying jμ 12 j 2 , the lateral and longitudinal speckle decorrelation characteristics, and thus speckle size, are examined using both analytic expressions and numerical simulations.…”