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Diffraction model of a laser speckle interferometer for measuring micro-displacements of objects with scattering surface
B.A. Grizbil 1, L.A. Maksimova 2, V.P. Ryabukho 1,2

1 Saratov State University, 410012, Saratov, Russia, Astrakhanskaya, 83,
2 Institute of Precision Mechanics and Control of the Russian Academy of Sciences
410028, Saratov, Russia, Rabochaya, 24

 PDF, 1490 kB

DOI: 10.18287/2412-6179-CO-702

Pages: 568-577.

Full text of article: Russian language.

Abstract:
On the basis of diffraction transformations of an optical wave field a mathematical model for the formation of speckle modulated interference patterns and signals at the output of a speckle interferometer is developed, which allows us to identify their properties and quantitative parameters. Speckle interferometers based on a Michelson arrangement are considered, where objects with scattering surfaces are used instead of mirrors in the reference and object arms. Results of numerical simulation of speckle modulated interference patterns on the basis of diffraction transformations of wave fields in an interferometer are discussed. Simulated images obtained at the output of the interferometer when focusing laser beams on the scattering surfaces of the controlled and reference objects are considered. Experimental results of using a speckle interferometer with a digital matrix photodetector for measuring the temperature micro-displacements of an object with a scattering surface and a quantitative comparison of experimental data with the results obtained by a numerical experiment using a diffraction model of a speckle interferometer are presented.

Keywords:
interference, diffraction, speckle interferometry, laser interferometer, Michelson interferometer, interference pattern, speckle modulation, computer simulation, mathematical model.

Citation:
Grizbil BA, Maksimova LA, Ryabukho VP. Diffraction model of a laser speckle interferometer for measuring micro-displacements of objects with scattering surface. Computer Optics 2020; 44(4): 568-577. DOI: 10.18287/2412-6179-CO-702.

Acknowledgements:
This work was supported by the Ministry of Science and Higher Education in the framework of the work on the state order of the Institute for Problems of Precision Mechanics and Control of the Russian Academy of Sciences, no. reg. AAAA-A18-118042790042-4.

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