Effects of lens aberrations in some experiments of speckle interferometry

For studying the effects of lens aberrations, the authors have calculated the change in the complex amplitude in the pupil of the optical system between the two exposures. The complex amplitude in the pupil may be considered as the product of a 'speckle' function-produced from the diffusing object-and a 'pupil' function, where the lens aberrations are represented by a phase term. The authors show that the translation of speckle pattern relative to the pupil gives rise to an additional phase term in the second exposure which is a function of lens aberrations. This phase term enables one to evaluate the deformation or loss of visibility on the speckle interference fringes in the Fourier plane. In the case where the translation is uniform the effects are completely shown. The effects of lens aberrations in other classical experiments are briefly discussed.