Calculation of the primary spherical aberration of an eye model using paraxial ray-tracing with matrix optics

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Purpose: The purpose of this study was to develop a technique to calculate the effects of laser corneal reshaping on the spherical aberration of a model eye. Methods: To model the myopic human eye, the Navarro eye model with aspheric surfaces was rendered myopic by shifting the position of the retina (axial myopia). The matrix method of ray-tracing was used to calculate an expression for the ray height and incidence angle at each optical surface of the eye before and after flattening of the anterior corneal surface. The contribution of each surface to the Seidel coefficient for spherical aberration, SI, was then calculated from the paraxial ray height and incidence angle at the surface. The Seidel coefficient SI was calculated for a 1 mm ray height for the preoperative myopic and postoperative corrected relaxed eye for corrections of myopia ranging from 1 to 10 D. Results: In eyes corrected for axial myopia, the primary spherical aberration of the eye (SI) was found to remain approximately equal to that of the emmetropic eye for corrections of up to 5 D. For corrections larger than 5D, the postoperative aberration significantly increased. Conclusions: Our model indicates that spherical corrections of high myopia (>5D) by laser corneal reshaping are expected to significantly increase the amount of primary spherical aberration of the eye.

Original languageEnglish (US)
Pages (from-to)57-65
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - Jan 1 2001


  • Eye model
  • Matrix
  • Optics
  • Photorefractive keratectomy
  • Refractive surgery
  • Spherical aberration

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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