Three-Dimensional Measurements Of Concentration Fields In Crystal Growth By Multidirectional Holographic Interferometry

Laura Gatti; Filomena Solitro; Federico Bedarida; Patrizia Boccacci; Gian Antonio Dall'Aglio; Livio Zefiro

doi:10.1117/12.962740

25 April 1990 Three-Dimensional Measurements Of Concentration Fields In Crystal Growth By Multidirectional Holographic Interferometry

Laura Gatti, Filomena Solitro, Federico Bedarida, Patrizia Boccacci, Gian Antonio Dall'Aglio, Livio Zefiro

Author Affiliations +

Proceedings Volume 1162, Laser Interferometry: Quantitative Analysis of Interferograms: Third in a Series; (1990) https://doi.org/10.1117/12.962740
Event: 33rd Annual Technical Symposium, 1989, San Diego, United States

Abstract

Multidirectional holographic interferometry makes it possible to obtain a three-dimensional concentration distribution by means of a series of interferometric observations along different directions. The aim of this paper is to describe a multidirectional holographic interferometer (MHOI) and to present a mathematical technique for interferometric data processing. The numerical algorithm of reconstruction from projections is the "sine" method used by Sweeney and Vest, modified by a singular values analysis of the problem, for a discrete data collection over a limited range of view angles. In order to prove the effectiveness of the "sine" method, the reconstruction from projections of some a priori known functions, similar to the expected experimental results, has been performed. These computer simulations make it possible to confirm the validity of the chosen algorithm, and yield the information needed for the design of a multidirectional holographic interferometer (MHOI) using a fiber optics system. In particular, tests of the analytical treatment of data extracted by computer simulation have been made in order to assess the optimum view angle, the number of views and the spacing among views in the fiber optics MHOI. This research has been done under ESA sponsorship.

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Laura Gatti, Filomena Solitro, Federico Bedarida, Patrizia Boccacci, Gian Antonio Dall'Aglio, and Livio Zefiro "Three-Dimensional Measurements Of Concentration Fields In Crystal Growth By Multidirectional Holographic Interferometry", Proc. SPIE 1162, Laser Interferometry: Quantitative Analysis of Interferograms: Third in a Series, (25 April 1990); https://doi.org/10.1117/12.962740

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