Theory of speckle displacement and decorrelation with electronic correlation

The paper deals with the determination of small deformation tensor components by means of an optical experimental method, which utilizes statistical properties of the speckle field in optically free space. The term “deformation tensor” is introduced and the relationship between the small deformation tensor components and the cross-correlation function of two intensity speckle patterns in free-space is analyzed. Furthermore, experimental arrangements for measurement of rotation, deformation, and translation, and their sensitivity and accuracy analyses are also presented.