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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 20 — Jul. 10, 2006
  • pp: 5010–5019

Quantitative flow visualization in supersonic jets through tomographic inversion of wavefronts estimated through shadow casting

Hemanth Thayyullathil, R. Mohan Vasu, and Rajan Kanhirodan  »View Author Affiliations

Applied Optics, Vol. 45, Issue 20, pp. 5010-5019 (2006)

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We present a simple method with which to reconstruct wavefronts that are transilluminating supersonic jets through measurement of their local slopes. The wavefront slopes are measured in two orthogonal directions by use of the average displacements suffered by a random-dot pattern in its shadow cast by the wavefront in front of it. A smooth wavefront is estimated from its measured slopes by a least-squares curve fitting technique. The calculated wavefront distortion is tomographically inverted to yield the density distributions of the object. The results are comparable to that obtained by use of a phase-retrieval algorithm from axial intensity transport measurements.

© 2006 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(100.6950) Image processing : Tomographic image processing
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.6960) Medical optics and biotechnology : Tomography

Original Manuscript: April 26, 2005
Revised Manuscript: November 17, 2005
Manuscript Accepted: February 10, 2006

Hemanth Thayyullathil, R. Mohan Vasu, and Rajan Kanhirodan, "Quantitative flow visualization in supersonic jets through tomographic inversion of wavefronts estimated through shadow casting," Appl. Opt. 45, 5010-5019 (2006)

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