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Proceedings Paper

Hilbert transform algorithm for fringe-pattern evaluation
Author(s): Margarita S. Gratulewicz; Valeri A. Tartakovski
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Paper Abstract

The Gabor analytic signal is constructed by means of the Hilbert transform. This linear operator gives the single-valued determination of the envelope and phase of a 1D signal with the support from infinity to infinity. But the wave field has four arguments and the interferogram is a 2D function. Moreover, these functions can be measured only in a restricted domain. These problems are discussed in this paper. In addition, the errors estimation of phase recovering are considered. The results of numerical experiments on the interferogram inversion are given.

Paper Details

Date Published: 14 June 1995
PDF: 9 pages
Proc. SPIE 2544, Interferometry VII: Techniques and Analysis, (14 June 1995); doi: 10.1117/12.211858
Show Author Affiliations
Margarita S. Gratulewicz, Institute of Atmospheric Optics (Russia)
Valeri A. Tartakovski, Institute of Atmospheric Optics (Russia)

Published in SPIE Proceedings Vol. 2544:
Interferometry VII: Techniques and Analysis
Malgorzata Kujawinska; Ryszard J. Pryputniewicz; Mitsuo Takeda, Editor(s)

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