The optical properties of the crystalline lens and their significance

Clinical and Experimental Optometry

Volumn 86, Issue 1, 2003, Pages 3-18

  Smith, George ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Aspheric surfaces; Crystalline lens; Lens modelling; Ocular aberrations; Refractive power

Indexed keywords

EYE REFRACTION; HUMAN; LENS; OPTICS; PHYSIOLOGY; REVIEW; THEORETICAL MODEL; VISION;

HUMANS; LENS, CRYSTALLINE; MODELS, THEORETICAL; OPTICS; REFRACTION, OCULAR; VISION;

EID: 0037270997     PISSN: 08164622     EISSN: 14440938     Source Type: Journal    
DOI: 10.1111/j.1444-0938.2003.tb03053.x     Document Type: Review

References (72)

1. Bettelheim FA, Wang TJY. Topographic distribution of refractive indices in bovine lenses. Exp Eye Res 1974;18:351-356.
2. Smith G. Schematic eyes: history, description and applications. Clin Exp Optom 1995; 78, 176-189.
3. Smith R. A Compleat System of Optiks. Cambridge: Cornelius Crownfield, 1738: 112.
4. Young T. The Bakerian Lecture. On the mechanism of the eye. Phil Trans Roy Soc Lond 1801: 91: 23-88 + plates.
5. 13).
6. Matthiessen L. Ueber die Beziehungen, welche zwischen dem Brechungsindex des Kerncentrums der Krystallinse und den Dimensionen des Auges bestehen. Pflügers Archiv 1882;27:510-523.
7. Gullstrand A. Appendix II in Helmholtz's Handbuch der Physiologischen Optik, Volume 1, 3rd ed. 1909 (English translation edited by JP Southall, Optical Society of America, Dover Publications 1962: 351-352.)
8. Pomerantzeff O, Dufault P, Goldstein R. Wide-angle model of the eye. In: Breinin GM, Siegel IM, eds. Advances in Diagnostic Visual Optics. Springer Series in Optical Sciences. Berlin: Springer-Verlag 1983: 12-21.
9. Pomerantzeff O, Fish H, Govingnon J, Schepens CL. Wide angle optical model of the human eye. Ann Ophthalmol 1971;3:815-819.
10. Blaker JW. Toward an adaptive model of the human eye. J Opt Soc Amer 1980;70:220-223.
11. Nakao S, Fujimoto S, Nagata R, Iwata K. Model of refractive-index distribution in the rabbit crystalline lens. J Opt Soc Amer 1968;58:1125-1130.
12. Nakao S, Ono T, Nagata R, Iwata K. The distribution of refractive indices in the human crystalline lens. Jap J Clin Ophthalmol 1969;23:903-906.
13. Jagger WS. The refractive structure and optical properties of the isolated crystalline lens of the cat. Vision Res 1990;230:723-738.
14. Pierscionek BK, Chan DYC. Refractive index gradient of human lenses. Optom Vis Sci 1989;66:822-829.
15. Garner LF, Smith G, Yao S, Augusteyn RC. Gradient refractive index of the crystalline lens of the Black Oreo Dory (Allocyttus niger) : comparison of magnetic resonance imaging (MRI) and laser ray-trace methods. Vision Res 2001;41:973-979.
16. Lotmar W. Theoretical eye model with aspheric surfaces. J Opt Soc Amer 1971;61:1522-1529.
17. LeGrand Y, El Hage SG. Physiological Optics. English ed. Berlin: Springer-Verlag, 21980.
18. Kooijman AC. Light distribution on the retina of a wide-angle theoretical eye. J Opt Soc Amer 1983;73:1544-1550.
19. Howcroft MJ, Parker JA. Aspheric curvatures for the human lens. Vision Res 1977;17:1217-1223.
20. Navarro R, Santamaría J, Bescós J. Accommodation-dependent model of the human eye with aspherics. J Opt Soc Amer A 1985;2:1273-1281.
21. Liou H-L, Brennan NA. Anatomically accurate, finite model eye for optical modelling. J Opt Soc Amer A 1997;14:1684-1694.
22. Smith G, Pierscionek BK, Atchison DA. The optical modelling of the human lens. Ophthal Physiol Opt 1991;11:359-369.
23. Raasch T, Lakshminarayanan V. Optical matrices of lenticular polyindical schematic eyes. Ophthal Physiol Opt 1989;9:61-65.
24. Mutti DO, Zadnik K, Adams AJ. The equivalent refractive index of the crystalline lens in childhood. Vision Res 1995;35:1565-1573.
25. Atchison DA, Smith G. Continuous gradient index and shell models of the human lens. Vision Res 1995;35:2529-2538.
26. Pierscionek BK, Weale RA. The optics of the eye-lens and lenticular senescence. Doc Ophthalmol 1995;89:321-335.
27. Brown N. The change in shape and internal form of the lens of the eye on accommodation. Exp Eye Res 1973;15:441-459.
28. Niesel P. Visible changes of the lens with age. Trans Ophthalmol Soc UK 1982;102:327-330.
29. Koretz JF, Kaufman PL, Neider MW, Goeckner PA. Accommodation and presbyopia in the human eye-aging of the anterior segment. Vision Res 1989;29:1685-1692.
30. Cook CA, Koretz JF, Pfahnl A, Hyun J, Kaufman PL. Aging of the human crystalline lens and anterior segment. Vision Res 1994;34:2945-2954.
31. Willekens B, Kappelhof J, Vrensen G. Morphology of the aging human lens. Lens Res 1987;4:207-230.
32. Strenk SA, Semmlow JL, Strenk LM, Munoz P, Gronlund-Jacob J, DeMarco JK. Agerelated changes in human ciliary muscle and lens: A magnetic resonance imaging study. Invest Ophthalmol Vis Sci 1999; 40; 1162-1169.
33. Pierscionek BK, Augusteyn RC. Shapes and dimensions of in vitro human lenses. Clin Exp Optom 1991;74:223-228.
34. Pierscionek BK. Refractive index of the human lens surface measured with an optical fibre sensor. Ophthal Res 1994;26:32-35.
35. Pierscionek BK. Refractive index contours in the human lens. Exp Eye Res 1997;64:887-893.
36. Moore DT. Design of singlets with continuously varying indices of refraction. J Opt Soc Amer 1971;61:886-894.
37. Sands PJ. Third-order aberrations of inhomogeneous lenses. J Opt Soc Amer 1970;60:1436-1443.
38. Chan DYC, Ennis JP, Pierscionek BK, Smith G. Determination and modeling of the 3-D gradient refractive indices in crystalline lenses. Applied Optics 1988;27:926-931.
39. Moffat BA, Atchison DA, Pope JM. Agerelated changes in refractive index distribution and power of the human lens as measured by magnetic resonance microimaging in vitro. Vision Res 2002;42:1683-1693.
40. Pierscionek BK. Presbyopia-effect of refractive index. Clin Exp Optom 1990;73:23-30.
41. Tunnacliffe AH. Introduction to Visual Optics. London: The Association of British Dispensing Opticians, 1993.
42. Smith G, Garner LF. Determination of the radius of curvature of the anterior lens surface from Purkinje images. Ophthal Physiol Opt 1996;6:135-143.
43. Garner LF, Smith G. Changes in equivalent and gradient refractive index of the crystalline lens with accommodation. Optom Vision Sci 1997;74:114-119.
44. Rabbetts RB. Bennett and Rabbetts' Clinical Visual Optics, 3rd ed. Oxford: Butterworth-Heinemann, 1998.
45. Brown N. The shape of the lens equator. Exp Eye Res 1974;19:571-576.
46. Koretz JF, Cook CA, Kaufman PL. Aging of the human lens: changes in lens shape at zero-diopter accommodation. J Opt Soc Amer A 2001;18:265-272.
47. Kiely PM, Smith G, Carney LG. The mean shape of the human cornea. Optica Acta 1982;29:1027-1040.
48. Guillon M, Lydon DPM, Wilson C. Corneal topography: a clinical model. Ophthal Physiol Opt 1986;6:47-56.
49. Parker JA. Aspheric optics of the human lens. Can J Ophthalmol 1972;7:168-175.
50. Zhu L, Bartsch D-U, Freeman WR, Sun P-C, Fainman Y. Modeling human eye aberrations and their compensation for high-resolution retinal imaging. Optom Vis Sci 1998;75:827-839.
51. Smith G, Atchison DA. The gradient index and spherical aberration of the lens of the human eye. Ophthal Physiol Opt 2001;21:317-326. (Pubitemid 32433358)
52. Koretz JF, Handelman GH, Brown NP. Analysis of human lens curvature as a function of accommodative state and age. Vision Res 1984;24:1141-1151.
53. Pierscionek BK. In vitro alteration of human lens curvature by radial stretching. Exp Eye Res 1993;57:629-635.
54. Popiolek-Masajada A, Kasprzak H. A new schematic eye model incorporating accommodation. Optom Vis Sci 1999;76:720-727.
55. Kasprzak HT. New approximation for the whole profile of the human crystalline lens. Ophthal Physiol Opt 2000;20:31-43.
56. Sharma DV, Shumar DK, Ghatak AK. Tracing rays through graded index media. Appl Opt 1982;21:984-987.
57. Charman WN. Gradient index optics, Ophthal Optician 1981; 21, 72, 74, 75, 78, 80-82, 84.
58. Smith G, Atchison DA. Equivalent power of the crystalline lens of the human eye: comparison of methods of calculation. J Opt Soc Amer A 1997;14:2537-2546.
59. Smith G, Cox M, Calver R, Garner LF. The spherical aberration of the crystalline lens of the human eye. Vision Res 2001;41:235-243. (Pubitemid 32332847)
60. Koomen M, Tousey R, Scolnik R. The spherical aberration of the eye. J Opt Soc Amer 1949;39:370-376.
61. Jenkins TCA. Aberrations of the eye and their effects on vision: Part I. Brit J Physiol Opt 1963;20:59-91.
62. Charman WN, Jennings JAM, Whitefoot H. The refraction of the eye in relation to spherical aberration and pupil size. Brit J Physiol Opt 1978;32:78-93.
63. El Hage SG, Berny F. Contribution of the crystalline lens to the spherical aberration of the eye. J Opt Soc Amer 1973;63:205-211.
64. Millodot M, Sivak J. Contribution of the cornea and lens to spherical aberration of the eye. Vision Res 1979;19:685-687.
65. Sivak JG, Kreuzer RO. Spherical aberration of the crystalline lens. Vision Res 1983;23:59-70.
66. Tomlinson A, Hemenger RP, Garriott R. Method for estimating the spheric aberration of the human crystalline lens in vivo. Invest Ophthalmol Vis Sci 1993;34:621-629.
67. Glasser A, Campbell MCW. Presbyopia and the optical changes in the human crystalline lens with age. Vision Res 1998;38:209-229.
68. Atchison DA, Collins MJ, Wildsoet CF, Christensen J, Waterworth MD. Measurement of monochromatic ocular aberrations of human eyes as a function of accommodation by the Howland aberroscope technique. Vision Res 1995;35:313-323.
69. He JC, Burns SA, Marcos S. Monochromatic aberrations in the accommodated human eye. Vision Res 2000;40:41-48.
70. Hopkins HH. The Wave Theory of Aberrations. Oxford: Clarendon Press, 1950.
71. Welford WT. Aberrations of Optical Systems. Bristol: Adam Hilger, 1986.
72. Smith G, Atchison DA. The Eye and Visual Instruments. Cambridge: Cambridge University Press, 1997.