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Applied Optics

Applied Optics


  • Vol. 39, Iss. 19 — Jul. 1, 2000
  • pp: 3289–3294

Development of a phase-displacement equation for panoramic interferometry

Sara B. Fair, John A. Gilbert, Donald R. Matthys, and Christelle H. Lindner  »View Author Affiliations

Applied Optics, Vol. 39, Issue 19, pp. 3289-3294 (2000)

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We developed the parametric equations that are needed to quantify the modulations in the sensitivity vector that occur when the phase-displacement equation is applied to make panoramic interferometric measurements. The measurement system relies on two collinear panoramic annular lenses, one to illuminate and the other to image their surroundings. When a coherent light source is used and a reference beam is added, interference occurs over the region of interest defined by the illuminating and viewing lenses. A holographic system is used to demonstrate the approach and quantify the analysis. We obtained interference fringes in real time by comparing holograms recorded before and after a section of cylindrical pipe is displaced relative to the measurement system. The annular images and the holographic fringes are acquired and stored digitally in a computer system, and image transformation algorithms are applied to remove optical distortions in the holographic patterns. Excellent agreement is obtained when the fringe loci are compared with those predicted on the basis of theory.

© 2000 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Original Manuscript: October 12, 1999
Revised Manuscript: March 28, 2000
Published: July 1, 2000

Sara B. Fair, John A. Gilbert, Donald R. Matthys, and Christelle H. Lindner, "Development of a phase-displacement equation for panoramic interferometry," Appl. Opt. 39, 3289-3294 (2000)

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  1. D. R. Matthys, J. A. Gilbert, J. Puliparambil, “Panoramic holointerferometry,” Exp. Mech. 35, 83–88 (1995). [CrossRef]
  2. J. L. Lindner, J. A. Gilbert, “Modal analysis using time-average panoramic holointerferometry,” Int. J. Anal. Exp. Modal Anal. 10, 143–151 (1995).
  3. S. B. Fair, “A panoramic electronic speckle pattern interferometer,” Ph.D. dissertation (University of Alabama in Huntsville, Huntsville, Alabama, 1998).
  4. D. R. Matthys, J. A. Gilbert, J. Puliparambil, “Endoscopic inspection using a panoramic annular lens,” in Second International Conference on Photomechanics and Speckle Metrology: Moire Techniques, Holographic Interferometry, Optical NDT, and Applications to Fluid Mechanics, F. Chiang, ed., Proc. SPIE1554B, 736–742 (1991).

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