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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: 2563–2571

Generation of third-order spherical and coma aberrations by use of radially symmetrical fourth-order lenses

N. López-Gil, H. C. Howland, B. Howland, N. Charman, and R. Applegate  »View Author Affiliations

JOSA A, Vol. 15, Issue 9, pp. 2563-2571 (1998)

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We have extended the method of Alvarez [J. Am. Optom. Assoc. 49, 24 (1978)] to generate a variable magnitude of third-order spherical and/or coma aberration by using a combination of fourth-order plates with a magnification system. The technique, based on the crossed-cylinder aberroscope, is used to measure the wave-front aberration generated by the plates. The method has been applied to correct the third-order spherical aberration generated by an artificial eye as well as the coma produced by a progressive addition ophthalmic lens. The simplicity of the method and its relatively low cost make it attractive for partial correction of the aberrations of the eye.

© 1998 Optical Society of America

OCIS Codes
(170.4460) Medical optics and biotechnology : Ophthalmic optics and devices
(170.4470) Medical optics and biotechnology : Ophthalmology
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.1000) Optical design and fabrication : Aberration compensation
(220.1010) Optical design and fabrication : Aberrations (global)
(220.4830) Optical design and fabrication : Systems design

Original Manuscript: December 24, 1997
Revised Manuscript: April 28, 1998
Manuscript Accepted: May 1, 1998
Published: September 1, 1998

N. López-Gil, H. C. Howland, B. Howland, N. Charman, and R. Applegate, "Generation of third-order spherical and coma aberrations by use of radially symmetrical fourth-order lenses," J. Opt. Soc. Am. A 15, 2563-2571 (1998)

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  1. H. C. Howland, B. Howland, “A subjective method for the measurement of monochromatic aberrations of the eye,” J. Opt. Soc. Am. A 67, 1508–1518 (1977). [CrossRef]
  2. G. Walsh, W. N. Charman, H. C. Howland, “Objective technique for the determination of monochromatic aberrations of the human eye,” J. Opt. Soc. Am. A 1, 987–992 (1984). [CrossRef] [PubMed]
  3. J. Santamarı́a, P. Artal, J. Bescós, “Determination of the point-spread function of the human eye using a hybrid optical–digital method,” J. Opt. Soc. Am. A 4, 1109–1114 (1987). [CrossRef]
  4. J. Liang, B. Grimm, S. Goelz, J. F. Bille, “Objective measurement of wave aberrations of the human eye with the use of a Hartmann–Shack wave-front sensor,” J. Opt. Soc. Am. A 11, 1949–1957 (1994). [CrossRef]
  5. W. T. Welford, Aberrations of Optical Systems (Hilger, Bristol, UK, 1986).
  6. P. B. Kruger, S. Mathews, M. Katz, K. Aggarwala, S. Nowbotsing, “Accommodation without feedback suggests directional signals specify ocular focus,” Vision Res. 37, 2511–2526 (1997). [CrossRef] [PubMed]
  7. A. Bradley, X. Zhang, L. N. Thibos, “Achromatizing the human eye,” Optom. Vision Sci. 68, 608–616 (1991). [CrossRef]
  8. M. J. Collins, A. S. Goode, D. A. Atchison, “Accommodation and spherical aberration,” Invest. Ophthalmol. Visual Sci. Suppl. 38, S1013 (1997).
  9. D. L. Fridge, “Aberration synthesizer,” J. Opt. Soc. Am. 50, 87 (1960).
  10. R. A. Buchroeder, R. B. Hooker, “Aberration generator,” Appl. Opt. 14, 2476–2479 (1975). [CrossRef] [PubMed]
  11. J. Liang, D. R. Williams, D. T. Miller, “Supernormal vision and high-resolution retinal imaging through adaptive optics,” J. Opt. Soc. Am. A 14, 2884–2892 (1997). [CrossRef]
  12. F. Vargas-Martı́n, P. M. Prieto, P. Artal, “Correction of the aberrations in the human eye with a liquid-crystal spatial light modulator: limits to performance,” J. Opt. Soc. Am. A 15, 2552–2562 (1998). [CrossRef]
  13. L. Alvarez, “Development of variable-focus lenses and a new refractor,” J. Am. Optom. Assoc. 49, 24–29 (1978). [PubMed]
  14. R. Kingslake, “The interferometer patterns due to the primary aberrations,” Trans. Ophthalmol. Soc. UK 27, 94–99 (1925–1926).
  15. D. Malacara, Optical Shop Testing, 2nd ed. (Wiley-Interscience, New York, 1991).
  16. H. D. Crane, C. M. Steele, “Accurate three-dimensional eyetracker,” Appl. Opt. 17, 691–705 (1978). [CrossRef] [PubMed]
  17. B. Howland, “Use of crossed cylinder lens in photographic lens evaluation,” Appl. Opt. 7, 1587–1599 (1968). [CrossRef] [PubMed]
  18. B. Bourdoncle, J. P. Chauveau, J. L. Mercier, “Traps in displaying optical performances of a progressive-addition lens,” Appl. Opt. 31, 3586–3593 (1992). [CrossRef] [PubMed]
  19. B. Howland, H. C. Howland, “Subjective measurement of high-order aberrations of the eye,” Science 193, 580–582 (1976). [CrossRef] [PubMed]
  20. G. Smith, D. A. Atchison, The Eye and Visual Optical Instruments (Cambridge U. Press, Cambridge, UK, 1997).

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