Analysis of wavefront-guided corrections to see if they fully correct ocular aberrations

Charles E. Campbell

doi:10.1364/JOSAA.23.001559

Journal of the Optical Society of America A
Vol. 23,
Issue 7,
pp. 1559-1565
(2006)
•https://doi.org/10.1364/JOSAA.23.001559

Analysis of wavefront-guided corrections to see if they fully correct ocular aberrations

Charles E. Campbell

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Charles E. Campbell, "Analysis of wavefront-guided corrections to see if they fully correct ocular aberrations," J. Opt. Soc. Am. A 23, 1559-1565 (2006)

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Table of Contents Category
- Vision, Color, and Visual Optics
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About this Article
History
- Original Manuscript: September 15, 2005
- Revised Manuscript: January 24, 2006
- Manuscript Accepted: January 27, 2006
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 1, Iss. 8

Abstract

In a recent paper [J. Opt. Soc. Am. A 22, 1473 (2005)] , the authors concluded, as a result of analysis using an optical model of the eye, that wavefront-guided ablative correction of the refractive errors of the eye does not efficiently remove those errors. An analytical method is given that analyzes the effect of a wavefront-guided ablative treatment of the aberrations of the eye using only the measured wavefront error of the eye and a measured or assumed anterior corneal surface shape and shows that in fact a wavefront-guided ablative treatment does remove all clinically significant error of the eye if only the anterior surface of the cornea is physically altered as planned as a result of treatment. The use of a variation of the method to analyze the effect of treatment when other changes occur as a result of treatment is also given.

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Case	Myope	Low Myope	Nearly Emme- tropic	Hyperope	Kerato- conus
Sphere power (D)	$- 5.75$	$- 1.00$	0.25	6.50	—
Cylinder power (D)	$- 1.50$	$- 0.50$	$- 0.37$	$- 1.00$	—
RMS residual $μ m$	0.12	0.02	0.01	0.06	0.15
Inverse waves of RMS error at $570 nm$	4.6	30.5	104.0	10.0	3.8
Equivalent defocus values of the RMS error (D)	0.16	0.06	0.03	0.11	0.17

Case	Myope	Low Myope	Nearly Emmetropic	Hyperope	Keratoconus
Aperture diameter (mm)	6.00	6.00	5.20	6.00	6.00
$Z_{0}^{0}$	0.000	0.000	0.000	0.000	0.000
$Z_{1}^{- 1}$	0.000	0.000	0.618	0.000	0.000
$Z_{1}^{1}$	0.000	0.000	$- 0.269$	0.000	0.000
$Z_{2}^{- 2}$	$- 0.566$	$- 0.117$	0.418	$- 0.236$	$- 4.866$
$Z_{2}^{0}$	8.579	1.600	0.386	$- 6.718$	5.600
$Z_{2}^{2}$	1.187	$- 0.130$	0.028	$- 0.865$	1.648
$Z_{3}^{- 3}$	0.081	$- 0.109$	$- 0.024$	0.016	0.322
$Z_{3}^{- 1}$	0.125	0.042	$- 0.169$	$- 0.312$	$- 2.640$
$Z_{3}^{1}$	$- 0.071$	0.058	0.084	0.390	$- 3.976$
$Z_{3}^{3}$	0.203	0.161	0.004	$- 0.074$	$- 1.849$
$Z_{4}^{- 4}$	0.037	0.091	$- 0.105$	$- 0.025$	0.207
$Z_{4}^{- 2}$	$- 0.072$	$- 0.066$	$- 0.032$	$- 0.038$	1.944
$Z_{4}^{0}$	0.041	$- 0.053$	0.044	0.205	0.573
$Z_{4}^{2}$	$- 0.091$	0.073	0.000	$- 0.001$	$- 0.253$
$Z_{4}^{4}$	$- 0.068$	0.051	0.015	0.059	0.772
$Z_{5}^{- 5}$	0.089	0.020	$- 0.002$	$- 0.029$	$- 0.098$
$Z_{5}^{- 3}$	$- 0.028$	$- 0.015$	0.014	0.008	$- 0.167$
$Z_{5}^{- 1}$	0.109	0.039	$- 0.037$	$- 0.017$	0.236
$Z_{5}^{1}$	$- 0.026$	$- 0.042$	0.011	$- 0.048$	0.417
$Z_{5}^{3}$	0.036	0.043	$- 0.005$	$- 0.015$	0.388
$Z_{5}^{5}$	$- 0.059$	0.000	$- 0.006$	0.014	$- 0.047$
$Z_{6}^{- 6}$	0.018	$- 0.003$	0.012	0.012	0.062
$Z_{6}^{- 4}$	$- 0.009$	0.030	0.012	$- 0.017$	$- 0.036$
$Z_{6}^{- 2}$	$- 0.027$	0.001	0.006	0.006	$- 0.260$
$Z_{6}^{0}$	$- 0.036$	$- 0.004$	$- 0.002$	$- 0.058$	$- 0.118$
$Z_{6}^{2}$	$- 0.080$	$- 0.049$	0.002	0.008	$- 0.003$
$Z_{6}^{4}$	$- 0.004$	0.044	$- 0.005$	$- 0.029$	$- 0.142$
$Z_{6}^{6}$	$- 0.007$	$- 0.012$	$- 0.015$	$- 0.010$	0.015

Case	Myope	Low Myope	Nearly Emme- tropic	Hyperope	Kerato- conus
Sphere power (D)	$- 5.75$	$- 1.00$	0.25	6.50	—
Cylinder power (D)	$- 1.50$	$- 0.50$	$- 0.37$	$- 1.00$	—
RMS residual $μ m$	0.12	0.02	0.01	0.06	0.15
Inverse waves of RMS error at $570 nm$	4.6	30.5	104.0	10.0	3.8
Equivalent defocus values of the RMS error (D)	0.16	0.06	0.03	0.11	0.17

Case	Myope	Low Myope	Nearly Emmetropic	Hyperope	Keratoconus
Aperture diameter (mm)	6.00	6.00	5.20	6.00	6.00
$Z_{0}^{0}$	0.000	0.000	0.000	0.000	0.000
$Z_{1}^{- 1}$	0.000	0.000	0.618	0.000	0.000
$Z_{1}^{1}$	0.000	0.000	$- 0.269$	0.000	0.000
$Z_{2}^{- 2}$	$- 0.566$	$- 0.117$	0.418	$- 0.236$	$- 4.866$
$Z_{2}^{0}$	8.579	1.600	0.386	$- 6.718$	5.600
$Z_{2}^{2}$	1.187	$- 0.130$	0.028	$- 0.865$	1.648
$Z_{3}^{- 3}$	0.081	$- 0.109$	$- 0.024$	0.016	0.322
$Z_{3}^{- 1}$	0.125	0.042	$- 0.169$	$- 0.312$	$- 2.640$
$Z_{3}^{1}$	$- 0.071$	0.058	0.084	0.390	$- 3.976$
$Z_{3}^{3}$	0.203	0.161	0.004	$- 0.074$	$- 1.849$
$Z_{4}^{- 4}$	0.037	0.091	$- 0.105$	$- 0.025$	0.207
$Z_{4}^{- 2}$	$- 0.072$	$- 0.066$	$- 0.032$	$- 0.038$	1.944
$Z_{4}^{0}$	0.041	$- 0.053$	0.044	0.205	0.573
$Z_{4}^{2}$	$- 0.091$	0.073	0.000	$- 0.001$	$- 0.253$
$Z_{4}^{4}$	$- 0.068$	0.051	0.015	0.059	0.772
$Z_{5}^{- 5}$	0.089	0.020	$- 0.002$	$- 0.029$	$- 0.098$
$Z_{5}^{- 3}$	$- 0.028$	$- 0.015$	0.014	0.008	$- 0.167$
$Z_{5}^{- 1}$	0.109	0.039	$- 0.037$	$- 0.017$	0.236
$Z_{5}^{1}$	$- 0.026$	$- 0.042$	0.011	$- 0.048$	0.417
$Z_{5}^{3}$	0.036	0.043	$- 0.005$	$- 0.015$	0.388
$Z_{5}^{5}$	$- 0.059$	0.000	$- 0.006$	0.014	$- 0.047$
$Z_{6}^{- 6}$	0.018	$- 0.003$	0.012	0.012	0.062
$Z_{6}^{- 4}$	$- 0.009$	0.030	0.012	$- 0.017$	$- 0.036$
$Z_{6}^{- 2}$	$- 0.027$	0.001	0.006	0.006	$- 0.260$
$Z_{6}^{0}$	$- 0.036$	$- 0.004$	$- 0.002$	$- 0.058$	$- 0.118$
$Z_{6}^{2}$	$- 0.080$	$- 0.049$	0.002	0.008	$- 0.003$
$Z_{6}^{4}$	$- 0.004$	0.044	$- 0.005$	$- 0.029$	$- 0.142$
$Z_{6}^{6}$	$- 0.007$	$- 0.012$	$- 0.015$	$- 0.010$	0.015

Abstract

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Equations (15)

Journal of the Optical Society of America A