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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 9 — Sep. 1, 1998
  • pp: 2514–2521

Influence of amount and changes in axis of astigmatism on retinal image quality

Jaume Pujol, Montserrat Arjona, Josep Arasa, and Victoria Badia  »View Author Affiliations

JOSA A, Vol. 15, Issue 9, pp. 2514-2521 (1998)

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We measured retinal image quality in astigmatic eyes, using the double-pass technique. We analyzed the influence of the amount of astigmatism and changes in axis of astigmatism on the eye’s optical performance. Different amounts of astigmatism were obtained by variation of the cylindrical power of a lens situated in front of the eye, between 0.25-diopter (D) overcorrection and 1-D undercorrection at intervals of 0.25 D. Changes in the axis of astigmatism were obtained by rotation of the lens, which neutralizes the astigmatism in an angle of ±10° at 5° intervals. The results show the decrease in retinal image quality and the increase in the degree of image astigmatism obtained when the amount of astigmatism increases or the angle between the lens and the eye axis is other than zero. In general, the largest variations correspond to when the astigmatism changes from 0 to 0.25 D or when the axis changes from 0° to ±5°. The reduction in optical performance is smaller in living eyes than in an eye model or in an artificial eye. The aberrations present in the living eye reduce the relative loss of retinal image quality introduced by astigmatism.

© 1998 Optical Society of America

OCIS Codes
(330.4300) Vision, color, and visual optics : Vision system - noninvasive assessment
(330.5370) Vision, color, and visual optics : Physiological optics
(330.7310) Vision, color, and visual optics : Vision

Original Manuscript: December 1, 1997
Revised Manuscript: March 13, 1998
Manuscript Accepted: March 20, 1998
Published: September 1, 1998

Jaume Pujol, Montserrat Arjona, Josep Arasa, and Victoria Badia, "Influence of amount and changes in axis of astigmatism on retinal image quality," J. Opt. Soc. Am. A 15, 2514-2521 (1998)

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  1. I. M. Borish, Clinical Refraction, 3rd ed. (Fairchild, New York, 1970).
  2. A. G. Bennett, R. B. Rabbets, Clinical Visual Optics, 2nd ed. (Butterworth-Henemann, Oxford, 1989).
  3. A. M. McKendirck, N. A. Brennan, “Distribution of astigmatism in the adult population,” J. Opt. Soc. Am. A 13, 206–214 (1996). [CrossRef]
  4. W. R. Baldwin, D. Mills, “A longitudinal study of corneal astigmatism and total astigmatism,” Am. J. Optom. Physiol. Opt. 58, 206–211 (1981). [CrossRef] [PubMed]
  5. M. D. Sarver, “A study of residual astigmatism,” Am. J. Optom. Arch. Am. Acad. Optom. 46, 578–582 (1969). [CrossRef] [PubMed]
  6. I. K. Kragha, “Corneal power and astigmatism,” Ann. Ophthalmol. 18, 35–37 (1986). [PubMed]
  7. H. Saunders, “Changes in the axis of astigmatism,” Ophthalmic Physiol. Opt. 8, 37–42 (1988). [CrossRef]
  8. H. Saunders, “Changes in the orientation of the axis of astigmatism associated with age,” Ophthalmic Physiol. Opt. 6, 343–344 (1986). [CrossRef] [PubMed]
  9. J. Anstice, “Astigmatism: its components and their change with age,” Am. J. Optom. Physiol. Opt. 48, 1001–1006 (1971). [CrossRef]
  10. J. Atkinson, O. Braddick, J. French, “Infant astigmatism: its disappearance with age,” Vision Res. 20, 891–893 (1980). [CrossRef] [PubMed]
  11. H. C. Howland, N. Sayles, “Photorefractive measurements of astigmatism in infants and young children,” Invest. Ophthalmol. Visual Sci. 25, 93–102 (1984).
  12. J. Gwiazda, M. Schelman, I. Mohindra, R. Held, “Astigmatism in children: changes in axis and amount from birth to six years,” Invest. Ophthalmol. Visual Sci. 25, 88–92 (1984).
  13. K. Ukai, Y. Ichihashi, “Changes in ocular astigmatism over the whole range of accommodation,” Optom. Vision Sci. 68, 813–818 (1991). [CrossRef]
  14. M. Millodot, C. Thibault, “Variation of astigmatism with accommodation and its relationship with dark focus,” Ophthalmic Physiol. Opt. 5, 297–301 (1985). [CrossRef] [PubMed]
  15. N. S. Jaffe, Cataract Surgery and Its Complications (Mosby, St. Louis, Mo.1976).
  16. R. Goel, J. Crewdson, A. H. Chinnell, “Astigmatism following retinal detachment surgery,” Br. J. Ophthamol. 67, 327–329 (1983). [CrossRef]
  17. V. Lakshminarayanan, J. M. Enoch, T. Raasch, B. Crawford, R. W. Nygaard, “Refractive changes induced by intraocular lens tilt and longitudinal displacement,” Arch. Opththalmol. 104, 90–92 (1986). [CrossRef]
  18. W. N. Charman, L. Voisin, “Optical aspects of tolerances to uncorrected ocular astigmatism,” Optom. Vision Sci. 70, 111–117 (1993). [CrossRef]
  19. W. N. Charman, L. Voisin, “Astigmatism, accommodation, the oblique effect and meridional amblyopia,” Ophthalmic Physiol. Opt. 13, 73–81 (1993). [CrossRef] [PubMed]
  20. M. P. Keating, J. P. Carroll, “Blurred imagery and the cylinder sine-squared law,” Am. J. Optom. Physiol. Opt. 53, 66–69 (1976). [CrossRef] [PubMed]
  21. F. W. Campbell, D. G. Green, “Optical and retinal factors affecting visual resolution,” J. Physiol. (London) 181, 576–593 (1965).
  22. F. Thorn, F. Schwartz, “Effects of dioptric blur on Snellen and grating acuity,” Optom. Vision Sci. 67, 3–7 (1990). [CrossRef]
  23. G. Smith, R. J. Jacobs, C. D. C. Chan, “Effect of defocus on visual acuity as measured by source and observer methods,” Optom. Vision Sci. 66, 430–435 (1989). [CrossRef]
  24. T. L. Simpson, R. Barbeito, H. E. Bedell, “The effect of optical blur on visual acuity for targets of different luminances,” Ophthalmic Physiol. Opt. 6, 279–281 (1986). [CrossRef] [PubMed]
  25. C. D. Kay, J. D. Morrison, “A quantitative investigation into the effect of pupil diameter and defocus on contrast sensitivity for an extended range of spatial frequencies in natural and homatropinized eyes,” Ophthalmic Physiol. Opt. 7, 21–30 (1987). [CrossRef]
  26. A. Bradley, T. Thomas, M. Kalaher, M. Hoerres, “Effects of spherical and astigmatism defocus on acuity and contrast sensitivity: a comparison of three clinical charts,” Optom. Vision Sci. 68, 418–426 (1991). [CrossRef]
  27. M. F. Flamant, “Etude de la repartition de lumière dans l’image rétinienne d’une fente,” Rev. Opt. 34, 433–459 (1955).
  28. F. W. Campbell, R. W. Gubisch, “Optical image quality of the human eye,” J. Physiol. (London) 181, 576–593 (1965).
  29. J. Santamarı́a, P. Artal, J. Bescos, “Determination of the point-spread function of human eyes using a hybrid optical–digital method,” J. Opt. Soc. Am. A 4, 1109–1114 (1987). [CrossRef]
  30. P. Artal, R. Navarro, “Simultaneous measurement of two point-spread functions at different locations across the human fovea,” Appl. Opt. 31, 3646–3656 (1992). [CrossRef] [PubMed]
  31. P. Artal, S. Marcos, R. Navarro, D. R. Williams, “Odd aberrations and double-pass measurements of retinal image quality,” J. Opt. Soc. Am. A 12, 195–201 (1995). [CrossRef]
  32. D. R. Williams, P. Artal, S. Navarro, M. J. McMahon, D. H. Brainard, “Off-axis optical quality and retinal sampling in the human eye,” Vision Res. 36, 1103–1114 (1996). [CrossRef] [PubMed]
  33. N. Lopez-Gil, P. Artal, “Comparison of double-pass estimates of the retinal-image quality obtained with green and near-infrared light,” J. Opt. Soc. Am. A 14, 961–971 (1997). [CrossRef]
  34. R. Navarro, M. A. Losada, “Phase transfer and point spread function of human eye determined by a new asymmetric double-pass method,” J. Opt. Soc. Am. A 12, 2385–2392 (1995). [CrossRef]
  35. P. Artal, I. Iglesias, N. Lopez-Gil, D. G. Green, “Double-pass measurements of the retinal image quality with unequal entrance and exit pupil sizes and the reversibility of the eye’s optical systems,” J. Opt. Soc. Am. A 12, 2358–2368 (1995). [CrossRef]
  36. A. Torrents, J. Gispets, J. Pujol, “Double-pass measurements of retinal image quality in monofocal contact lens wearers,” Ophthalmic Physiol. Opt. 17, 357–366 (1997). [CrossRef] [PubMed]
  37. P. Artal, M. Ferro, I. Miranda, R. Navarro, “Effects of aging in retinal image quality,” J. Opt. Soc. Am. A 10, 1656–1662 (1993). [CrossRef] [PubMed]
  38. P. Artal, S. Marcos, R. Navarro, I. Miranda, M. Ferro, “Through focus image quality of eyes implanted with monofocal and multifocal intraocular lenses,” Opt. Eng. 34, 772–779 (1995). [CrossRef]
  39. R. Navarro, P. Artal, D. R. Williams, “Modulation transfer of the human eye as a function of retinal eccentricity,” J. Opt. Soc. Am. A 10, 201–212 (1993). [CrossRef] [PubMed]
  40. P. Artal, R. Navarro, “Monochromatic modulation transfer function of the human eye for different pupil diameters: an analytical expression,” J. Opt. Soc. Am. A 11, 246–249 (1994). [CrossRef]
  41. J. Gispets, M. Arjona, J. Pujol, “Influence of progressive lenses in the retinal image quality,” Perception Suppl. 26, 61 (1997).
  42. J. Pujol, A. Torrents, J. Gispets, “Objective evaluation of the quality of the retinal image in contact lens wearers,” in Proceedings of Lasers in Ophthalmology III, R. Birngruber, A. F. Fercher, eds., Proc. SPIE2632, 36–47 (1996). [CrossRef]
  43. Y. Le Grand, S. G. El Hage, Physiological Optics (Springer-Verlag, Berlin, 1980).
  44. D. Sliney, M. Wolbarsht, Safety with Lasers and Other Optical Sources (Plenum, New York, 1980).
  45. P. Artal, S. Marcos, I. Iglesias, D. Green, “Optical modulation transfer and contrast sensitivity with decentered small pupils in the human eye,” Vision Res. 36, 3575–3586 (1996). [CrossRef] [PubMed]
  46. G. Walsh, W. N. Charman, “The effect of pupil centration and diameter on ocular performance,” Vision Res. 28, 659–665 (1988). [CrossRef] [PubMed]
  47. R. Navarro, J. Santamarı́a, J. Bescós, “Accommodation-dependent model of the human eye with aspherics,” J. Opt. Soc. Am. A 2, 1273–1281 (1985). [CrossRef] [PubMed]
  48. M. Jalie, The Principles of Ophthalmic Lenses (Association of Dispensing Opticians, London, 1988).
  49. W. F. Harris, “Algebra of sphero-cylinders and refractive errors, and their means, variance, and standard deviation,” Am. J. Optom. Physiol. Opt. 65, 794–802 (1988). [CrossRef] [PubMed]

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