Changes of Corrective Astigmatism Values Depending on Position of Circle of Least Confusion in Astigmatic Refining Test Using Cross Cylinder

크로스실린더를 이용한 난시정밀검사에서 검사 전 최소착란원 위치에 따른 난시교정값의 변화

  • Received : 2015.08.01
  • Accepted : 2015.08.19
  • Published : 2015.09.30


Purpose: To investigate the changes of corrective values of astigmatism caused by the position of circle of least confusion on retina in refining astigmatic test using cross cylinder. Methods: 62 subjects (115 eyes) aged $22.24{\pm}2.48$ years participated for this study. After astigmatic test using a radial chart, refining test was performed using a cross cylinder in a condition of maximum plus to maximum visual acuity (MPMVA). Astigmatic refining test was repeatedly performed in each condition of which S+0.75 D, S+0.50 D, S+0.25 D, S-0.25 D, S-0.50 D, and S-0.75 D are added to spherical lenses of MPMVA. The measured values were compared with the values in MPMVA condition. Results: As compared with values in condition of MPMVA, change of astigmatic axis was increased with add the power of (+) spherical lenses and (-) spherical lenses. In same spherical condition, change of astigmatic axis was decreased with increment of astigmatic power (p<0.05). The corrective power of astigmatism was reduced with increment of (+) spherical lenses (p<0.05), and was raised with increment of (-) spherical lenses compared with the power in MPMVA condition. In case of adding (+) spherical lenses, difference of astigmatic power increased with increment of corrective astigmatism power in same test condition. Conclusions: In order to obtain a proper values for corrective astigmatism, position of circle of least confusion should be accurately adjusted before the performing an astigmatism's refining test.


Cross cylinder;Refining test for astigmatism;Position of circle of least confusion;Corrective astigmatism axis;Corrective astigmatism power


  1. Anderson P. Cross Cylinders. The Australasian Journal of Optometry. 1923;5(8):170-175.
  2. Carlson NB, Kurtz D. Clinical procedures for ocular examination, 3rd Ed. New York: McGraw-Hill, 2003;101-103.
  3. Del Priore LV, Guyton DL. The jackson cross cylinder: A reappraisal. Ophthalmology. 1986;93(11):1461-1465.
  4. O'leary DJ, Yang PH, Yeo CH. Effect of cross cylinder power on cylinder axis sensitivity. Am J Optom & Physiol Optics. 1987;64(5):367-369.
  5. Dill P. Cross-cylinder methods of measuring astigmatic errors. The Australasian Journal of Optometry. 1934;17(1):23-29.
  6. Von Noorden GK. Binocular vision and ocular motility, 5th Ed. St. Louis: Mosby. 1996;216-254.
  7. Bennet AG. An historical review of optometric principles and techniques. Ophthalmic Physiol Opt. 1986;6(1):3-21
  8. Benjamin WJ. Borish's Clinical Refraction, 2nd Ed. St. Louis: Butterworth-Heinemann, 2006; 812-830.
  9. Pascal JI. Cross cylinder test-Meridional balance technique. Optical Journal and Review of Optometry. 1950;87(18):31-33.
  10. Sung PJ. Optometry, 8th Ed. Seoul: Daihakseorim, 2013;369-372.
  11. Fairmaid JA. The constancy of corneal curvature. Br J Physiol Opt. 1959;16(1):2-23.
  12. Williamson-Noble FA. A possible fallacy in the use of the cross-cylinder. Br J Ophthalmol. 1943;27(1):1-12.
  13. Lee HJ. A study on the accommodative astigmatism of near vision. J Korean Ophthalmic Opt Soc. 2011;16(3):327-331.
  14. Joo SH, Sim HS. A study for the change of astigmatism axis when the fixation point moved for distance to near distance. J Korean Ophthalmic Opt Soc. 2007;12(2):47-59.

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