Holographic interferometry applied to large deformations: the role of the second derivative of the optical path difference in the real-time technique

Walter Schumann; Boris Lutz

doi:10.1117/12.195506

30 November 1994 Holographic interferometry applied to large deformations: the role of the second derivative of the optical path difference in the real-time technique

Walter Schumann, Boris Lutz

Author Affiliations +

Proceedings Volume 2342, Interferometry '94: Photomechanics; (1994) https://doi.org/10.1117/12.195506
Event: International Conference on Interferometry '94, 1994, Warsaw, Poland

Abstract

Starting with the basic equation of standard holographic interferometry for small deformations a generalization of the real-time technique with modification in the case of large deformations is laid out. Ultimately, the problem of recovering previously invisible fringes when reconstructing and the following fringe analysis is discussed. In the past, necessary equations derived from two first derivatives have been established to ensure a proper spacing and a sufficient contrast of these fringes, by a careful choice of the modification parameters at least locally around some point for such a general set-up. In order to make the fringes visible not only locally, but also in a larger domain, further equations resulting from the second derivatives of the optical path difference must be considered, in other words: the remaining modification parameters must be determined in such a way that the optical path difference becomes quasi-stationary in an extended domain. This second derivative reveals a particular relation to the aberration theory of the holographic image and to an integrability equation. It is composed of a mechanical deformation term containing the curvature change of the object surface, a completely dual term of the virtual optical deformation due to the modification, also implying the astigmatism of the image points, and finally a mixed term which is dual to itself.

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Walter Schumann and Boris Lutz "Holographic interferometry applied to large deformations: the role of the second derivative of the optical path difference in the real-time technique", Proc. SPIE 2342, Interferometry '94: Photomechanics, (30 November 1994); https://doi.org/10.1117/12.195506

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