Modeling of speckle interferometer of lateral micro-displacements of a scattering object with Gaussian illuminating beams and digital recording of interference measuring signal

Abstract

A computer mathematical model of a laser interference system for registration of space-time signal of a speckle interferometer with digital recording of interference images has been developed. The mathematical model of the speckle interferometer of micro-displacements of the scattering surface of technical objects is based on diffraction transformations of wave fields. Numerical simulation of speckle-modulated interference images and signals at the output of a speckle interferometer of lateral displacements of a scattering object is performed. This allows us to identify the properties and quantitative parameters of interference measuring signals. Numerical calculations of the spatial distribution of complex amplitudes of wave fields in an interferometer were used for modeling. The displaced scattering surface of the controlled object was illuminated by two inclined laser Gaussian beams. A statistical numerical experiment for determination the measurement error of the uniform displacement of the scattering surface in speckle interferometry of lateral micro-displacements was performed. Simulated oscillograms of the lateral displacement of the scattering surface of a technical object due to its heating and cooling are obtained. The oscillograms were recorded in the far diffraction region with Gaussian illuminating beams. The simulation results confirm the results of experimental studies of lateral temperature displacements in the range up to 600 micrometers and are in good agreement with the mathematical model of the speckle interferometer of transverse micro-displacements of the scattering surface.

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Lyudmila Aleksandrovna Maksimova
IPTMU RAS - Separate structural subdivision of FRC "Saratov Scientific Center of the Russian Academy of Sciences"
Russia

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