1 May 1990 Comparative analysis of two methods of interpolation at phase reconstruction in holographic interferometry
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Abstract
In various applications of classical and holographic interferometry it is necessary to reconstruct the phase difference (PD) of interfering light beams all along the image plane in order to give a quantitative description of such object parameters as the refraction index, thickness, displacement, amplitude of oscillation, etc. At this the errors may be caused by speckle noise, noise of the registrating apparatus and other ones. These noises together with the errors of the used computing methods result in an inaccurate determination of PD. Taking into account the fact that in some cases (e.g., at certain correlations of displacement vectors of the object points with the geometry of holographic scheme in holographical interferometry) even negligible errors in obtained values of PD lead to significiant inaccuracies in the searched parameters one may conclude that the choice of algorithms enuring the increase of the accuracy of the PD reconstruction is very important In the present paper two interpolation methods used at PD reconstruction out of two-dimensional interferometric images with a complex structure of fringes are developed. A comparative analysis of the accuracy of obtained results is also done. The following consideration is carried out at the example of the holographic interferogram of a diffuse scattering object performing forced sinusoidal oscillations, obtained b the time averaging method. However the above-mentioned methods and obtained results are applicable for a wide range of interferometric images.
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Eduard A. Mnatsakanyan, Eduard A. Mnatsakanyan, S. V. Nefyodov, S. V. Nefyodov, } "Comparative analysis of two methods of interpolation at phase reconstruction in holographic interferometry", Proc. SPIE 1211, Computer and Optically Formed Holographic Optics, (1 May 1990); doi: 10.1117/12.17927; https://doi.org/10.1117/12.17927
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