Average paraxial power of a lens and visual acuity
To provide a solution for average paraxial lens power (A p P) of a lens. Orthogonal and oblique sections through a lens of power F were reduced to a paraxial representation of lens power followed by integration. Visual acuity was measured using lenses of different powers (cylinders of − 1.0 and − 2....
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| Vydané v: | Scientific reports Ročník 13; číslo 1; s. 7118 - 7 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
London
Nature Publishing Group UK
02.05.2023
Nature Publishing Group Nature Portfolio |
| Predmet: | |
| ISSN: | 2045-2322, 2045-2322 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | To provide a solution for average paraxial lens power (A
p
P) of a lens. Orthogonal and oblique sections through a lens of power
F
were reduced to a paraxial representation of lens power followed by integration. Visual acuity was measured using lenses of different powers (cylinders of − 1.0 and − 2.0D) and axes, mean spherical equivalent (MSE) of S + C/2, A
p
P and a toric correction, with the order of correction randomised. A digital screen at 6 m was used on which a Landolt C with crowding bars was displayed for 0.3 s before vanishing. The general equation for a symmetrical lens of refractive index (n), radius of curvature R, in medium of refractive index n1, through orthogonal (
θ
) and oblique meridians (
γ
) as a function of the angle of incidence (
α
) reduces for paraxial rays (
α
∼
0
) to
F
n
,
R
α
,
θ
,
γ
α
∼
0
=
n
-
n
1
R
cos
2
θ
cos
2
γ
. The average of this function is
F
n
,
R
α
,
θ
,
γ
α
∼
0
=
n
-
n
1
4
R
providing a solution of
F
4
for A
p
P.For central (
p
= 0.04), but not peripheral (
p
= 0.17) viewing, correction with A
p
P was associated with better visual acuity than a MSE across all tested refractive errors (
p
= 0.04). These findings suggest that
F
4
may be a more inclusive representation of the average paraxial power of a cylindrical lens than the MSE. |
|---|---|
| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 |
| ISSN: | 2045-2322 2045-2322 |
| DOI: | 10.1038/s41598-023-34010-4 |