Deformation analysis of curved surfaces in holographic interferometry with similar remarks concerning nonspherical gravitational fields

Walter Schumann

doi:10.1117/12.516569

27 May 2003 Deformation analysis of curved surfaces in holographic interferometry with similar remarks concerning nonspherical gravitational fields

Walter Schumann

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Proceedings Volume 4933, Speckle Metrology 2003; (2003) https://doi.org/10.1117/12.516569
Event: Speckle Metrology 2003, 2003, Trondheim, Norway

Abstract

First, the principles of large deformation analysis in holographic Interferometry are briefly outlined. Modifications at the reconstruction should recover the invisible fringes. The spacing and the contrast are characterized by the fringe and visibility vectors. The relevant derivative of the path difference involves the polar decomposition of the deformation, affine connections, the image aberration and changes of geodesic and surface curvatures. These specific considerations lead in a second part to similar aspects for hypersurfaces and to an interpretation of the Schwarzschild-solution by virtual deformations. Remarks concerning nonspherical gravitational fields including null-geodesics or light rays are added. Third, an approach to the Kerr-solution for rotating bodies and aspects of the TOV-equation for the interior are given.

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Walter Schumann "Deformation analysis of curved surfaces in holographic interferometry with similar remarks concerning nonspherical gravitational fields", Proc. SPIE 4933, Speckle Metrology 2003, (27 May 2003); https://doi.org/10.1117/12.516569

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KEYWORDS

Holographic interferometry

Projection systems

Lead

Visibility

Holograms

Spherical lenses

3D image reconstruction

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