The purpose of the study is to show a proposal of an extension of a one-dimensional speckle correlation method, which is primarily intended for determination of one-dimensional object's translation, for detection of general in-plane object's translation. In that view, a numerical simulation of a displacement of the speckle field as a consequence of general in-plane object's translation is presented. The translation components a x and a y representing the projections of a vector a of the object's displacement onto both x- and y-axes in the object plane (x, y) are evaluated separately by means of the extended one-dimensional speckle correlation method. Moreover, one can perform a distinct optimization of the method by reduction of intensity values representing detected speckle patterns. The theoretical relations between the translation components a x and a y of the object and the displacement of the speckle pattern for selected geometrical arrangement are mentioned and used for the testifying of the proposed method's rightness.

Joint Laboratory of Optics of Palacky University and Institute of Physics of the Academy of Sciences of the Czech Republic Institute of Physics of the Academy of Sciences of the Czech Republic 17 listopadu 50a 77207 Olomouc Czech Republic

Regional Centre of Advanced Technologies and Materials Joint Laboratory of Optics of Palacky University and Institute of Physics of the Academy of Sciences of the Czech Republic Faculty of Science Palacky University 17 listopadu 12 77146 Olomouc Czech Republic

References provided by Crossref.org