Holography and Deformation Analysis

Schumann, Walter; Zürcher, Jean-Pierre; Cuche, Denis

doi:10.1007/978-3-540-38981-1

Cited by 29 publications

(10 citation statements)

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“…(7) does not intervene here. We shall also see in some cases that the position of the diffusing surface plays a secondary role (see also [17] p. 135). Separating NF with the projector K'…”

Section: (7)mentioning

confidence: 97%

“…k' = -n0dr' 9p' -dr .ö(noL + j n'ds' + noL) = n0dr .! (17) 0 where n011 by the way is the derivative of the Eikonel at P. Furthermore, using the ray equation (3)…”

Section: (7)mentioning

confidence: 99%

“…As for the quantitative analysis in the linear case of small deformations and a small gradient of the index of refraction one may refer (e.g. with the present notation) to [17] p-i24-Here we try to extend this analysis to the general cases of large deformation and large gradient of index of refraction including the use of arbitrary modifications when reconstructing. Three conditions should be fulfilled for such a modification in order to recover previously invisible fringes: a) Corresponding areas around each pair of aberrated image points of the diffusing surface and its apparent deformation must overlap sufficiently.…”

Section: Introductionmentioning

confidence: 98%

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<title>Approach for applying holographic interferometry to large modifications in the case of strong spatial change of index of refraction in a fluid in analogy to a similar deformation problem</title>

Schumann

1993

SPIE Proceedings

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The application of holographic interferometry to determine large deformations of opaque bodies by compensating when reconstructing has been treated previously in several publications. This contribution concerns a similar investigation in the case of a domain with a strong spatial change of the index of refraction as for instance in a fluid or also in combination with different media. Firstly, the general theory about the analogy between both fields as well as the image aberration and the fringe modification is outlined. Secondly, a development of the fringe vector in the case of a moderate index gradient is performed.

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“…(7) does not intervene here. We shall also see in some cases that the position of the diffusing surface plays a secondary role (see also [17] p. 135). Separating NF with the projector K'…”

Section: (7)mentioning

confidence: 97%

“…k' = -n0dr' 9p' -dr .ö(noL + j n'ds' + noL) = n0dr .! (17) 0 where n011 by the way is the derivative of the Eikonel at P. Furthermore, using the ray equation (3)…”

Section: (7)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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<title>Approach for applying holographic interferometry to large modifications in the case of strong spatial change of index of refraction in a fluid in analogy to a similar deformation problem</title>

Schumann

1993

SPIE Proceedings

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“…= -n0dr' . 'p' = -dr .O(noL'1 + / n'ds' + noL') = n0dr 1 (17) Jo where n011 by the way is the derivative of the Eikonel at P. Furthermore, using the ray equation (3), i.e. (4a) we get…”

Section: Spatial Index Variation Large Image Aberration and Correspomentioning

confidence: 97%

“…As for the quantitative analysis in the linear case of small deformations and a small gradient of the index of refraction one may refer (e.g. with the present notation) to [17] p. 124. Here we try to extend this analysis to the general cases of large deformation and large gradient of index of refraction including the use of arbitrary modifications when reconstructing (see also [18]).…”

Section: Introductionmentioning

confidence: 99%

<title>Approach for applying holographic interferometry to cases of strong gradients of index of refraction in a fluid using large modifications</title>

Schumann

1993

Holographics International '92

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The use of holographic interferometry to determine large deformations of opaque bodies by compensating modifications when reconstructing has been treated previously in several publications. The present conthbution concerns a similar investigation in the case of a domain with a strong spatial change of the index of refraction as for instance in a gas with a high temperature gradient Firstly, the general theory about the analogy between both fields as well as the image aberration and the fringe modification is outlined. Secondly, a development of the fringe vector in the case of a moderate index gradient is performed, leading to an approach for measuring the integral of the lateral gradient of the index along the curved ray.

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