Abstract
The autocorrelation function of a diffusing and/or transmitting pupil as well as the visualization of its displacements and eventual deformations are given by a suitable Fourier transform of the speckle pattern representing the diffused and/or transmitted wavefront. This technique has been applied to the determination of the Modulation Transfer Function of real pupils and quantitative study of vibrations of a metallic plate. In this work we use the statistical properties of a random distribution of transparency transmitted by an optical system to measure its Modulation Transfer Function and the properties of a wave diffused by a rough oscillating surface to determine its vibration amplitude, and then the deformations of the fringe pattern projected on the vibrating structure to obtain the large amplitudes of the mechanical vibration.
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