An analytical method for predicting the geometrical and optical properties of the human lens under accommodation

Other literature type, Article English OPEN
Sheil, Conor J. ; Bahrami, Mehdi ; Goncharov, Alexander V. (2014)
  • Publisher: Optical Society of America
  • Related identifiers: doi: 10.1364/BOE.5.001649
  • Subject: Vision and Visual Optics | physics | biological
    arxiv: Physics::Optics

We present an analytical method to describe the accommodative changes in the human crystalline lens. The method is based on the geometry-invariant lens model, in which the gradient-index (GRIN) iso-indicial contours are coupled to the external shape. This feature ensures that any given number of iso-indicial contours does not change with accommodation, which preserves the optical integrity of the GRIN structure. The coupling also enables us to define the GRIN structure if the radii and asphericities of the external lens surfaces are known. As an example, the accommodative changes in lenticular radii and central thickness were taken from the literature, while the asphericities of the external surfaces were derived analytically by adhering to the basic physical conditions of constant lens volume and its axial position. The resulting changes in lens geometry are consistent with experimental data, and the optical properties are in line with expected values for optical power and spherical aberration. The aim of the paper is to provide an anatomically and optically accurate lens model that is valid for 3 mm pupils and can be used as a new tool for better understanding of accommodation.
  • References (59)
    59 references, page 1 of 6

    6. A. Gullstrand, Appendix IV of Treatise on Physiological Optics, vol. 1 (Dover Phoenix Editions, 2005).

    7. Y. Le Grand and S. G. El Hage, Physiological Optics (Springer-Verlag, 1980).

    8. J. W. Blaker, “Toward an adaptive model of the human eye,” Journal of the Optical Society of America 70, 220-223 (1980).

    9. R. Navarro, J. Santamar´ıa, and J. Besco´s, “Accommodation-dependent model of the human eye with aspherics,” Journal of the Optical Society of America A 2, 1273-1280 (1985).

    10. G. Smith, P. Bedggood, R. Ashman, M. Daaboul, and A. Metha, “Exploring ocular aberrations with a schematic human eye model,” Optometry & Vision Science 85, 330-340 (2008).

    11. H.-L. Liou and N. A. Brennan, “Anatomically accurate, finite model eye for optical modeling,” Journal of the Optical Society of America A 14, 1684-1695 (1997).

    12. G. Smith, D. A. Atchison, and B. K. Pierscionek, “Modeling the power of the aging human eye,” Journal of the Optical Society of America A 9, 2111-2117 (1992).

    13. M. Bahrami and A. V. Goncharov, “Geometry-invariant gradient refractive index lens: analytical ray tracing,” Journal of Biomedical Optics 17, 055001-1 - 055001-9 (2012).

    14. A. V. Goncharov and C. Dainty, “Wide-field schematic eye models with gradient-index lens,” Journal of the Optical Society of America A 24, 2157-2174 (2007).

    15. R. Navarro, F. Palos, and L. Gonza´lez, “Adaptive model of the gradient index of the human lens. i. formulation and model of aging ex vivo lenses,” Journal of the Optical Society of America A 24, 2175-2185 (2007).

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