Calculation of optical imbalances in ophthalmic lenses using a new algorithm based on the local dioptric power matrix formalism

Thumbnail Image
Full text at PDC
Publication Date
Advisors (or tutors)
Journal Title
Journal ISSN
Volume Title
Optical Society of America
Google Scholar
Research Projects
Organizational Units
Journal Issue
We present a new algorithm to calculate the optical imbalances and differential prismatic effects that appear when two eyes look at an object through correcting eyeglasses. These are important magnitudes in ophthalmic optics because large amounts of them will disturb the binocular vision of the spectacle wearer. As a practical application of our algorithm, the distribution of optical imbalances and differential prismatic powers for a pair of progressive addition lenses has been calculated, and we obtain information about the effects of this kind of lens on the binocular vision of the wearer.
© Optical Society of America. We thank the Ministerio de Educación y Ciencia (Spain), for the financial support of this work within the project TAP98-0701.
1. Y. LeGrand, Optique Physiologique, la dioptrique de l’oeil et sa correction, 3èmeed. (Masson, Paris, 1965). 2. R. W. Reading, Binocular Vision: Foundations and Applications (Butterworth, Boston, Mass, 1983). 3. J. A. Gómez-Pedrero, J. Alonso, H. Canabal, E. Bernabeu, “A generalization of Prentice’s law for ophthalmic lenses with arbitrary refracting surfaces”, Ophthalmic Physiol. Opt. 18, 514–520 (1998). 4. J. A. Gómez-Pedrero, PhD. dissertation (Universidad Complutense de Madrid, Madrid, Spain1999). 5. T. Fannin, T. Grosvernor, Clinical Optics, 1st ed. (Butterworth–Heinemann, Boston, Mass., 1996). 6. M. Jalie, The Principles of Ophthalmic Lenses, 4th ed. (ABDO, London, 1988). 7. J. A. Gómez-Pedrero, J. Alonso, E. Bernabeu, “Local dioptric power matrix and prismatic effects of spherical, aspherical, and spherotorical ophthalmic lenses”, in OPTIKA 98: 5th Conference on Modern Optics, G. Akos, G. Lupkovics, A. Podmaniczky, eds. Proc. SPIE3573, 405–408 (1998). 8. W. H. Press, S. A. Teukolsky, W. Vettering, B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1992). 9. J. Alonso, J. A. Gómez-Pedrero, E. Bernabeu, “Local dioptric power matrix in progressive addition lenses”, Ophthalmic Physiol. Opt. 17, 522–529 (1998). 10. B. Rassow, W. Wesemann, “Fusion and stereopsis under artificially impaired conditions of the binocular system”, Optometrie 2, 21–28 (1989). 11. R. K. Luneburg, “The metric of binocular visual space”, J. Opt. Soc. Am. 40, 627–642 (1950). 12. K. N. Ogle, “Stereopsis and vertical disparity”, A. M. A. Arch. Opthal. 53, 495–504 (1955). 13. K. N. Ogle, “Distortion of the image by prism”, J. Opt. Soc. Am. 41, 1023–28 (1951).