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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 27 — Sep. 20, 2009
  • pp: 5114–5120

Measurement of low-derivative surface lenses by two-laser holography with Bi 12 Ti O 20 crystals

Eduardo A. Barbosa, Camila B. F. de Sousa, and Wellington M. Maffei  »View Author Affiliations

Applied Optics, Vol. 48, Issue 27, pp. 5114-5120 (2009)

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Refractive and profilometric analyses of lenses with large radii of curvature and/or large focal distance were performed through photorefractive holography using a Bi 12 Ti O 20 crystal as the recording medium and two red diode lasers as light sources. Both lasers were properly aligned and tuned in order to provide submillimetric synthetic wavelengths providing real-time interferograms in a two-color holography experiment. The resulting contour interferogram describes the form of the wavefront after the beam traveled back and forth through the lens. The fringe quantitative evaluation was carried out through the four-stepping technique, and the resulting phase map and the branch-cut method were employed for phase unwrapping. Exact ray tracing calculation was performed in order to establish a relation between the output wavefront geometry and the lens parameters such as radii of curvature, thickness, and refractive index. By quantitatively comparing the theoretically calculated wavefront geometry with the experimental results, errors below 1% for both refractive index and focal length were obtained.

© 2009 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(120.4630) Instrumentation, measurement, and metrology : Optical inspection
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(210.4810) Optical data storage : Optical storage-recording materials

ToC Category:

Original Manuscript: June 4, 2009
Manuscript Accepted: August 7, 2009
Published: September 10, 2009

Eduardo A. Barbosa, Camila B. F. de Sousa, and Wellington M. Maffei, "Measurement of low-derivative surface lenses by two-laser holography with Bi12TiO20 crystals," Appl. Opt. 48, 5114-5120 (2009)

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