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

Zobrazit více v PubMed

Dainty JC. Laser Speckle and Related Phenomena. 2nd edition. Berlin, Germany: Springer; 1984. (Topics in Applied Physics).

Ingelstam E, Ragnarsson S-I. Eye refraction examined by aid of speckle pattern produced by coherent light. Vision Research. 1972;12(3):411–420. PubMed

Oulamara A, Tribillon G, Duvernoy J. Biological activity measurement on botanical specimen surfaces using a temporal decorrelation effect of laser speckle. Journal of Modern Optics. 1989;36(2):165–179.

Dainty JC. Stellar speckle interferometry. In: Dainty JC, editor. Laser Speckle and Related Phenomena. Vol. 9. Berlin, Germany: Springer; 1975. pp. 255–320. (Topics in Applied Physics).

Ohlídal M, Pražák D. Digital laser speckle spectral correlation within the framework of the Fresnel approximation of the scalar Kirchhoff theory and its application in surface roughness measurement. Journal of Modern Optics. 2003;50(14):2133–2146.

Anand A, Chhaniwal VK, Almoro P, Pedrini G, Osten W. Shape and deformation measurements of 3D objects using volume speckle field and phase retrieval. Optics Letters. 2009;34(10):1522–1524. PubMed

Šmíd P, Horváth P, Hrabovský M. Speckle correlation method used to detect an object’s surface slope. Applied Optics. 2006;45(27):6932–6939. PubMed

Yamaguchi I, Fujita T. Laser speckle rotary encoder. Applied Optics. 1989;28(20):4401–4406. PubMed

Hrabovský M, Bača Z, Horváth P. Theory of speckle displacement and decorrelation and its application in mechanics. Optics and Lasers in Engineering. 2000;32(4):395–403.

Horváth P, Hrabovský M, Šmíd P. Application of speckle decorrelation method for small translation measurements. Optica Applicata. 2004;34(2):203–218.

Horváth P, Hrabovský M, Šmíd P. Full theory of speckle displacement and decorrelation in the image field by wave and geometrical descriptions and its application in mechanics. Journal of Modern Optics. 2004;51(5):725–742.

Yamaguchi I. Speckle displacement and decorrelation in the diffraction and image fields for small object deformation. Optica Acta. 1981;28(10):1359–1376.

Šmíd P, Horváth P, Hrabovský M. Speckle correlation method used to measure object’s in-plane velocity. Applied Optics. 2007;46(18):3709–3715. PubMed

Hamarová I, Horváth P, Šmíd P, Hrabovský M. The simulation of the origin and propagation of speckle field generated through a plane wave and Gaussian beam and its verification by speckle correlation method. Optik. 2012;123(5):404–408.

Yamaguchi I. Measurement and testing by digital speckle pattern correlation. 7th International Symposium on Instrumentation and Control Technology; October 2008; Beijing, China.

Saleh BEA, Teich MC. Fundamentals of Photonics. New York, NY, USA: John Wiley & Sons; 1991.

Gascón F, Salazar F. Numerical computation of in-plane displacements and their detection in the near field by double-exposure objective speckle photography. Optics Communications. 2008;281(24):6097–6106.

Gascón F, Salazar F. A simple method to simulate diffraction and speckle patterns with a PC. Optik. 2006;117(2):49–57.

Pedrini G, Tiziani HJ, Zou Y. Speckle size of digitally reconstructed wavefronts of diffusely scattering objects. Journal of Modern Optics. 1996;43(2):395–407.

Mendlovic D, Zalevsky Z, Konforti N. Computation considerations and fast algorithms for calculating the diffraction integral. Journal of Modern Optics. 1997;44(2):407–414.

Hamarová I, Horváth P, Šmíd P, Hrabovský M. Computer simulation of the speckle field propagation. 17th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics; September 2010; Liptovsky Jan, Slovakia.

Gonzales RC, Woods RE. Digital Image Processing. 3rd edition. Upper Saddle River, NJ, USA: Pearson Education; 2008.

Chicea D. An alternative algorithm to calculate the biospeckle size in coherent light scattering experiments. Romanian Journal in Physics. 2009;54(1-2):147–155.

Alexander TL, Harvey JE, Weeks AR. Average speckle size as a function of intensity threshold level: comparison of experimental measurements with theory. Applied Optics. 1994;33(35):8240–8250. PubMed