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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 3 — Mar. 1, 2005
  • pp: 424–433

Tomographic method for measurement of the gradient refractive index of the crystalline lens. I. The spherical fish lens

Eva Acosta, Daniel Vazquez, Leon Garner, and George Smith  »View Author Affiliations

JOSA A, Vol. 22, Issue 3, pp. 424-433 (2005)

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We present an iterative tomographic algorithm to reconstruct refractive-index profiles for meridional planes of the lens of the spherical fish eye from measurements of deflection angles of refracted rays. Numerical simulations show that the algorithm allows accuracy up to the fourth decimal place, provided that the refractive index can be regarded as an analytical function of the radial coordinate and the experimental errors are neglected. An experimental demonstration is given by applying the algorithm to retrieve the refractive-index profile of a spherical fish lens. The method is conceptually simple and does not require matching of the index of the surrounding medium to that of the surface of the lens, and the related iterative algorithm rapidly converges.

© 2005 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(110.2760) Imaging systems : Gradient-index lenses
(170.6960) Medical optics and biotechnology : Tomography
(290.3030) Scattering : Index measurements
(330.4300) Vision, color, and visual optics : Vision system - noninvasive assessment

Original Manuscript: January 12, 2004
Revised Manuscript: July 2, 2004
Manuscript Accepted: September 9, 2004
Published: March 1, 2005

Eva Acosta, Leon Garner, George Smith, and Daniel Vazquez, "Tomographic method for measurement of the gradient refractive index of the crystalline lens. I. The spherical fish lens," J. Opt. Soc. Am. A 22, 424-433 (2005)

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