An autorefractor (NVision K-5001; Shin-Nippon, Tokyo, Japan) was used to measure both central and peripheral refraction across the horizontal meridian out to 35° in the nasal and temporal visual fields. A fixation device that projected a green monochromatic laser spot target was used to ensure accurate fixation at 5° intervals with minimal accommodative effect. No cycloplegic or mydriatic drug was used, and five measurements were taken at each location and averaged. The spherical (S) and cylindrical power (C) and cylindrical axis (θ) of the spherocylindrical refractive error measured by the autorefractor were converted into power vectors
M,
J180, and
J45 to allow for statistical analysis using the following equations derived by Thibos et al.
50:
where
M is the mean spherical equivalent error,
J180 is the 90° to 180° astigmatic component, and
J45 is the 45° to 135° astigmatic component. Relative peripheral
M refraction was calculated by subtracting central
M values obtained in primary gaze from
M values measured at each respective eccentric fixation point. Peripheral refraction is commonly used to infer retinal shape in human eyes,
31,41–45 and
M has been a frequently used value to describe ocular shape.
M has been approximated to lie quite close to the retina (within 0.75 D) out to 60° in the visual field through optical equations (ray tracing)
51 and therefore was deemed most appropriate to use in this study to describe retinal shape.