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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 16 — Jun. 1, 2014
  • pp: 3438–3447

Parastigmatic corneal surfaces

Juan Camilo Valencia-Estrada and Daniel Malacara-Doblado  »View Author Affiliations


Applied Optics, Vol. 53, Issue 16, pp. 3438-3447 (2014)
http://dx.doi.org/10.1364/AO.53.003438


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Abstract

Principal meridians of the corneal vertex of the human ocular system are not always orthogonal. To study these irregular surfaces at the vertex, which have principal meridians with an angle different from 90°, we attempt to define so-called parastigmatic surfaces; these surfaces allow us to correct several classes of irregular astigmatism, with nonorthogonal principal meridians, using a simple refractive surface. We will create a canonical surface to describe the surfaces of the human cornea with a short and simple formula, using two additional parameters to the current prescription: the angle between principal meridians and parharmonic variation of curvatures between them.

© 2014 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.3630) Geometric optics : Lenses
(220.0220) Optical design and fabrication : Optical design and fabrication
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices
(330.7326) Vision, color, and visual optics : Visual optics, modeling
(330.7333) Vision, color, and visual optics : Visual optics, refractive anomalies

ToC Category:
Vision, Color, and Visual Optics

History
Original Manuscript: January 29, 2014
Manuscript Accepted: March 29, 2014
Published: May 26, 2014

Virtual Issues
Vol. 9, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Juan Camilo Valencia-Estrada and Daniel Malacara-Doblado, "Parastigmatic corneal surfaces," Appl. Opt. 53, 3438-3447 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-16-3438


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References

  1. Z. Malacara and D. Malacara Hernández, Handbook of Optical Design (Marcel Dekker, 2004).
  2. J. García Márquez, D. Malacara Doblado, and D. Malacara Hernández, “Axially astigmatic surfaces: different types and their properties,” Opt. Eng. 12, 3422–3426 (1996). [CrossRef]
  3. A. Gray, “The definition of a regular surface in Rn,” in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. (CRC Press, 1997), pp. 281–285
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  5. , “Optics and photonics—preparation of drawings for optical elements and systems—Part 12: aspheric surfaces,” International Organization for Standardization, ICS: 01.100.20; 37.020. 15 (2007).
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  9. C. Valencia and A. Bedoya, “Modelo matemático de la cámara anterior del ojo humano,” Master’s thesis (EAFIT University, 2010).
  10. C. Valencia and D. Malacara, “Parastigmatic surfaces and lenses,” Patent pending. WIPOMX2012/000127, WO/2013/089548 (14December2012).

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