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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 11, Iss. 11 — Nov. 1, 1972
  • pp: 2613–2624

Talbot Interferometer for Radial and Lateral Derivatives

Donald E. Silva  »View Author Affiliations


Applied Optics, Vol. 11, Issue 11, pp. 2613-2624 (1972)
http://dx.doi.org/10.1364/AO.11.002613


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Abstract

The theory and experimental evidence of a shearing interferometer based on the Talbot effect are presented. Multiple-shearing interferences are obtained that can be reduced to triple-shearing or double-shearing interferences by the addition of simple spatial filtering. When the shear is less than the width of the details in the object, these interferences become either the second or first derivative of the object under test, respectively. Either lateral or constant radial shear can be introduced by choosing Ronchi rulings or circular gratings. Thus both lateral and radial derivatives are easily obtained. If white light is used as a source, color fringes of high contrast are observed.

© 1972 Optical Society of America

History
Original Manuscript: April 5, 1972
Published: November 1, 1972

Citation
Donald E. Silva, "Talbot Interferometer for Radial and Lateral Derivatives," Appl. Opt. 11, 2613-2624 (1972)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-11-11-2613

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