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Localization of fringes produced by rotation of the recording plate in focused-image holography

A study is made of the localization of the fictitious fringes produced by rotation of the holographic plate using focused-image holography for an arbitrary cylindrical object

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Abstract

The equations determining the localization of interference fringes produced by rotation of the photographic plate in ‘focused-image holography’ are derived for an arbitrary cylindrical surface. The important properties of fringe localization are discussed and are experimentally verified.

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Abbreviations

a :

radius of rotation of the analyzed element of surface

r :

radius of cylinder

D :

distance between object and holographic plate

\(\vec d\) :

displacement vector

Z c :

distance between axis of rotation and the holographic plate

(R p , θ p ), (\(R_{\bar p} ,\theta _{\bar p} \)):

polar coordinates

(R c , θ c )), (R R , θ R )):

polar coordinates

α:

angle defining the homologous beam

β:

angle of rotation of holographic plate

β r :

angle of fictitious rotation of the object

γ 0 , γ 1 :

angles defining the position of the illuminating and viewing beams with respect to the considered element of surface

References

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Authors and Affiliations

  1. Goodyear Research, 44316, Akron, OH

    S. K. Chawla (Senior Research Engineer)

  2. Experimental Stress Analysis Laboratory, Illinois Institute of Technology, 60616, Chicago, IL

    C. A. Sciammarella (Director)

Authors
  1. S. K. Chawla
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  2. C. A. Sciammarella
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Chawla, S.K., Sciammarella, C.A. Localization of fringes produced by rotation of the recording plate in focused-image holography. Experimental Mechanics 20, 240–244 (1980). https://doi.org/10.1007/BF02327707

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  • DOI: https://doi.org/10.1007/BF02327707

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