Bart Jaeken,1,*
Linda Lundström,2
and Pablo Artal1
1Laboratorio de Optica, Instituto Universitario de Investigación en Óptica y Nanofísica (IUiOyN), Universidad de Murcia, Campus de Espinardo (Ed. 34), 30100 Murcia, Spain
2Biomedical and X-Ray Physics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Bart Jaeken, Linda Lundström, and Pablo Artal, "Peripheral aberrations in the human eye for different wavelengths: off-axis chromatic aberration," J. Opt. Soc. Am. A 28, 1871-1879 (2011)
The interest in the eye’s off-axis aberrations has increased strongly. On-axis the conversion of the aberration magnitude between different wavelengths is well known. We verified if this compensation is correct also for off-axis measurements by building a wavelength tunable peripheral Hartmann–Shack sensor and measuring 11 subjects out to in the horizontal visual field. At the fovea, an average longitudinal chromatic aberration of between red () and blue () light was found, and it increased slightly with eccentricity (up to ). A similar trend was measured for astigmatism as a function of wavelength (increase ). Computational ray tracing in model eyes showed that the origin of the small increase of chromatic aberrations with eccentricity is the change of the oblique power of the refractive surfaces in the eye. Factors related to increase of axial length and refractive index of the eye were found to have a very small influence.
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The column “foveal” indicates which on-axis parameters are significantly different with wavelength.
The column “ECC” shows if the chromatic variation is significantly different with eccentricity.
These columns indicate if the mean chromatic difference at the indicated eccentricity is significantly different than the mean foveal chromatic difference.
For M and J0, besides the overall p value for the indicated angle, also the specific nasal (N) and temporal (T) p value is given.
Indicates the use of Huynh–Feldt correction when calculating the p value.
Table 2
Results of Paired t Tests Comparing If the Estimated Red Value Differs Significantly from the Measured Red Value Using the New and the Old Conversion Method
This row gives the comparison of the estimated data with the measured data for all angles expect for . The first value is the p value of the new method compared with the measured data and the second value is the comparison of the old method with the measured data.
These rows give the results of the paired t tests for all data at the given angle and detailed for the nasal (N) and temporal (T) data separately.
Table 3
Surface Information and Values of Coefficients Used in the Model Eye for the Liou and Brennan Eye Model Geometry
Surface
Type
Name Surface
Radius
Asphericity
Thickness
N at
1
standard
retina
12.00
0
16.27
1.336
2
gradient 5
posterior crystalline
8.10
0.96
2.43
grad P
3
gradient 5
medium crystalline
infinity
0
1.59
grad A
4 (pupil)
standard
anterior crystalline
3.16
1.336
5
standard
posterior cornea
0.5
1.376
6
standard
anterior cornea
—
—
Grad P
0
0
0
Grad A
0
0
0
0
Table 4
Values of the Schott Dispersion Coefficients Used in the Model Eye
Cornea
Aqueous humour
Vitreous humour
Table 5
Values of the Sellmeier Dispersion Coefficients for a Crystalline Lens
784.8531
269.8803
273.6147
0.0000
Table 6
Different Values for the Used Field Angle (FA), Decentration (DEC), and Visual Angle (VA) for the Original Liou and Brennan Model Eye Simulationa
26.480
2.505
40.000
20.090
1.753
30.000
13.500
1.118
20.000
6.780
0.545
10.000
0.000
0.000
0.000
The values were calculated for a reference wavelength of .
Tables (6)
Table 1
Overview of the p Values Comparing the Chromatic Variation Between Blue and Red
The column “foveal” indicates which on-axis parameters are significantly different with wavelength.
The column “ECC” shows if the chromatic variation is significantly different with eccentricity.
These columns indicate if the mean chromatic difference at the indicated eccentricity is significantly different than the mean foveal chromatic difference.
For M and J0, besides the overall p value for the indicated angle, also the specific nasal (N) and temporal (T) p value is given.
Indicates the use of Huynh–Feldt correction when calculating the p value.
Table 2
Results of Paired t Tests Comparing If the Estimated Red Value Differs Significantly from the Measured Red Value Using the New and the Old Conversion Method
This row gives the comparison of the estimated data with the measured data for all angles expect for . The first value is the p value of the new method compared with the measured data and the second value is the comparison of the old method with the measured data.
These rows give the results of the paired t tests for all data at the given angle and detailed for the nasal (N) and temporal (T) data separately.
Table 3
Surface Information and Values of Coefficients Used in the Model Eye for the Liou and Brennan Eye Model Geometry
Surface
Type
Name Surface
Radius
Asphericity
Thickness
N at
1
standard
retina
12.00
0
16.27
1.336
2
gradient 5
posterior crystalline
8.10
0.96
2.43
grad P
3
gradient 5
medium crystalline
infinity
0
1.59
grad A
4 (pupil)
standard
anterior crystalline
3.16
1.336
5
standard
posterior cornea
0.5
1.376
6
standard
anterior cornea
—
—
Grad P
0
0
0
Grad A
0
0
0
0
Table 4
Values of the Schott Dispersion Coefficients Used in the Model Eye
Cornea
Aqueous humour
Vitreous humour
Table 5
Values of the Sellmeier Dispersion Coefficients for a Crystalline Lens
784.8531
269.8803
273.6147
0.0000
Table 6
Different Values for the Used Field Angle (FA), Decentration (DEC), and Visual Angle (VA) for the Original Liou and Brennan Model Eye Simulationa
26.480
2.505
40.000
20.090
1.753
30.000
13.500
1.118
20.000
6.780
0.545
10.000
0.000
0.000
0.000
The values were calculated for a reference wavelength of .