Abstract. The present work is concerned with an experimental setup for studying phase objects using multi-directional speckle photography. A mathematical description of light propagation in an optically inhomogeneous medium and a means of speckle tomography of refractive coefficient distributions are given. Recommendations on two-dimensional refractive coefficient and temperature distributions in a flame of a candle illuminated in four directions are made. The obtained results evidence that speckle photography may be a basis for tomographic studies of temperature fields in different cross-sections of an object. A speckle shift error is about 5% while the one in reconstructing local temperatures does not exceed 10%.
The results of experimental investigation into the process of the local parameters reconstruction for three-dimensional flows from the data of doubleexposure speckle photographs, obtained simultaneously in different directions, are presented. A mathematical procedure of reconstruction, based on the integral Radon transform, is described and its accuracy is analyzed. On the basis of the mathematical simulation results, the requirements for the automated system of specklegram processing are formulated and realized. The examples of temperature and density fields in different objects, obtained by means of the above mentioned technique, are given. The error in obtained experimental data amounted to less than 5%, and the error in reconstructing the local temperature did not exceed 10%.
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