Anterior corneal profile with variable asphericity.

We present a corneal profile in which the eccentricity, e(Q=-e(2)), has a nonlinear continuous variation from the center outwards. This nonlinear variation is intended to fit and reproduce our current experimental data in which the anterior corneal surface of the human eye exhibits different values of e at different diameters. According to our clinical data, the variation is similar to an exponential decay. We propose a linear combination of two exponential functions to describe the variation of e. We then calculate the corneal sagittal height by substituting e in the first-order aspherical surface equation to obtain the corneal profile. This corneal profile will be used as a reference to analyze the resultant profiles of the customized corneal ablation in refractive surgery.

[1]  A. Kooijman,et al.  Light distribution on the retina of a wide-angle theoretical eye. , 1983, Journal of the Optical Society of America.

[2]  Guang-Ming Dai,et al.  Optical surface optimization for the correction of presbyopia. , 2003, Applied optics.

[3]  Austin Roorda,et al.  Human Visual System—Image Formation , 2002 .

[4]  R. Montés-Micó,et al.  Asphericity of the anterior human cornea with different corneal diameters , 2007, Journal of cataract and refractive surgery.

[5]  N A Brennan,et al.  Anatomically accurate, finite model eye for optical modeling. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Rainer Erdmann,et al.  Fast fitting of multi-exponential decay curves , 1997 .

[7]  W A Douthwaite,et al.  Mathematical models of the general corneal surface , 1993, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[8]  R. Navarro,et al.  Optics of the average normal cornea from general and canonical representations of its surface topography. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[9]  Henryk T Kasprzak,et al.  Approximating ocular surfaces by generalised conic curves , 2006, Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians.

[10]  Joris Coppens,et al.  Corneal surface reconstruction algorithm that uses Zernike polynomial representation. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[11]  D. Azar,et al.  Determination of corneal asphericity after myopia surgery with the excimer laser: a mathematical model. , 2001, Investigative ophthalmology & visual science.

[12]  Xin Wei,et al.  Modeling the eye's optical system by ocular wavefront tomography. , 2008, Optics express.

[13]  A. Priest,et al.  The Development of an Average, Anatomically Based, Young Adult, GRIN Eye Model , 2005 .

[14]  Dimitri Chernyak,et al.  Corneal asphericity and retinal image quality: a case study and simulations. , 2004, Journal of refractive surgery.

[15]  T. Salmon,et al.  Comparison of elevation, curvature, and power descriptors for corneal topographic mapping. , 1995, Optometry and vision science : official publication of the American Academy of Optometry.

[16]  Jason Turuwhenua,et al.  A Novel Low-Order Method for Recovery of the Corneal Shape , 2004, Optometry and vision science : official publication of the American Academy of Optometry.

[17]  Sabino Chávez-Cerda,et al.  PSF and MTF analysis of the visual performance in undilated Mexican normal virgin whole eyes (UCVA greater than or equal to 20/20, 20/30, and 20/40) , 2005 .

[18]  D. Azar,et al.  Analysis of customized corneal ablations: theoretical limitations of increasing negative asphericity. , 2002, Investigative ophthalmology & visual science.

[19]  Patricia Piers,et al.  Model eyes for evaluation of intraocular lenses. , 2007, Applied optics.

[20]  J. Jiménez,et al.  Equation for corneal asphericity after corneal refractive surgery. , 2003, Journal of refractive surgery.

[21]  M. A. Rosales,et al.  Advanced surface ablation for presbyopia using the Nidek EC-5000 laser. , 2004, Journal of refractive surgery.

[22]  Chris Dainty,et al.  Wide-field schematic eye models with gradient-index lens. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[23]  P. Kiely,et al.  The Mean Shape of the Human Cornea , 1982 .

[24]  M. Mrochen,et al.  [Aspheric optics: physical fundamentals]. , 2008, Der Ophthalmologe : Zeitschrift der Deutschen Ophthalmologischen Gesellschaft.

[25]  W. Lotmar Theoretical Eye Model with Aspherics , 1971 .

[26]  A. Bradley,et al.  Spherical Aberration of the Reduced Schematic Eye with Elliptical Refracting Surface , 1997, Optometry and vision science : official publication of the American Academy of Optometry.

[27]  J R Jiménez,et al.  Effects on visual function of approximations of the corneal-ablation profile during refractive surgery. , 2001, Applied optics.

[28]  Jason Turuwhenua Corneal surface reconstruction algorithm using Zernike polynomial representation: improvements. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[29]  D. Azar,et al.  Corneal asphericity change after excimer laser hyperopic surgery: theoretical effects on corneal profiles and corresponding Zernike expansions. , 2004, Investigative ophthalmology & visual science.

[30]  V. Mahajan Optical Imaging and Aberrations , 1998 .

[31]  Jorge Ibarra,et al.  PSF and MTF comparison of two different surface ablation techniques for laser visual correction , 2009, Optical Engineering + Applications.

[32]  R. Navarro,et al.  Accommodation-dependent model of the human eye with aspherics. , 1985, Journal of the Optical Society of America. A, Optics and image science.

[33]  Ronald B. Rabbetts,et al.  Clinical Visual Optics , 1984 .

[34]  M. A. Rosales,et al.  Whole eye wavefront aberrations in Mexican male subjects. , 2004, Journal of refractive surgery.

[35]  Differences between real and predicted corneal shapes after aspherical corneal ablation. , 2005, Applied optics.