Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Ray tracing through a schematic eye containing second-order (quadric) surfaces using 4 x 4 matrix notation.

Achim Langenbucher1, Arne Viestenz, Anja Viestenz

  • 1Department of Ophthalmology, University of Erlangen-Nürnberg, Schwabachanlage 6, D-91054 Erlangen, Germany. achim.langenbucher@imp.uni-erlangen.de

Ophthalmic & Physiological Optics : the Journal of the British College of Ophthalmic Opticians (Optometrists)
|February 8, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Simplification of a Three-Constant Intraocular Lens Calculation Formula to a Single-Constant Approach: The Haigis Formula.

Diagnostics (Basel, Switzerland)·2026
Same author

Machine Learning-Based Prediction of Long-Term Intraocular Pressure Fluctuations in Open-Angle Glaucoma.

Ophthalmology science·2026
Same author

Intraocular Lens Calculation Concept Based on Aphakic Refraction-Considerations on a Cornea Model With Two Refracting Surfaces.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
Same author

Refractive and Corneal Astigmatism After Implantation of a Supraciliary Drainage Device in Microinvasive Glaucoma Surgery.

Journal of refractive surgery (Thorofare, N.J. : 1995)·2026
Same author

Correction: Prediction of the ectasia screening index from raw Casia2 volume data for keratoconus identification by using convolutional neural networks.

PloS one·2026
Same author

Response to the Letter to the Editor: Dual-Zone Keratometry for Identifying Central Radius and Corneal Asphericity.

Current eye research·2026
Same journal

Mesopic Illumination in Natural Environments: Implications for Myopia Research.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
Same journal

Axial Length Growth Reference Curves and LMS Parameters for Japanese Children and Adolescents Aged 4-20 Years: The TMM BirThree Cohort Study.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
Same journal

Effect of Switching Myopia Control Strategies on Axial Elongation in Children with Poor Response to Highly Aspherical Lenslet Therapy.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
Same journal

Quantifying the Role of Longitudinal Chromatic Aberration and Age in Night Vision Disturbances.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
Same journal

Impaired Rod-Mediated Vision is the Functional Hallmark of Ageing and Early and Intermediate Age-Related Macular Degeneration.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
Same journal

Analytical Performance, Spatial Dynamics and Clinically Meaningful Change Thresholds for Automated Non-invasive Tear Film Assessment Using the Oculus Keratograph 5M.

Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists)·2026
See all related articles

This study introduces an algebraic ray tracing method for eye optics, showing aspheric models offer superior optical quality compared to spherical models for improved intra-ocular lens evaluation.

Area of Science:

  • Ophthalmology
  • Optical Engineering
  • Computational Optics

Background:

  • Ray tracing is crucial for assessing the optical properties of the human eye.
  • Existing methods may have limitations in evaluating complex optical systems with aspheric surfaces.

Purpose of the Study:

  • To develop and demonstrate an algebraic matrix-based method for ray tracing through ocular optical systems with aspheric surfaces.
  • To compare the optical quality of spherical versus aspheric eye models using this new method.

Main Methods:

  • An algebraic method using 4x4 matrices to describe second-order (quadric) aspheric surfaces.
  • Analytical derivation of normal vectors and quadratic equation solving for ray-surface intersection.
  • Application to spherical (Le Grand) and aspheric (Kooijman modified Le Grand) schematic eye models.

Related Experiment Videos

Main Results:

  • The matrix-based ray tracing method was successfully applied to both spherical and aspheric eye models.
  • Spot diagrams revealed significantly reduced ray scatter and better optical quality in the aspheric model at the focal plane.
  • The aspheric model demonstrated superior optical performance compared to the spherical model.

Conclusions:

  • The developed algebraic ray tracing strategy provides an efficient way to evaluate optical systems with aspheric surfaces.
  • Aspheric surfaces in ocular models lead to improved optical quality, as evidenced by reduced aberrations.
  • This method can aid in assessing image distortion for intra-ocular lenses, particularly decentered or tilted ones.