Theory of speckle displacement and decorrelation with electronic correlation

The paper deals with the determination of small deformation tensor componen ts by means of an optical experimental method, which utilizes statistical p roperties of the speckle field in optically free space. The term "deformati on tensor" is introduced and the relationship between the small deformation tensor components and the cross-correlation function of two intensity spec kle patterns in free-space is analyzed. Furthermore, experimental arrangeme nts for measurement of rotation, deformation, and translation, and their se nsitivity and accuracy analyses are also presented.