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H.C. Howland; Allometry and Scaling of Wave Aberration of Eyes . Invest. Ophthalmol. Vis. Sci. 2005;46(13):1994.
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Purpose: To investigate the scaling of root mean square (RMS) wave aberration in an isometrically growing eye. Methods: Deduction from geometrical and algebraic arguments. Results:It is found that, relative to an initial state, if an eye expands in all directions isometrically by the factor k, and the wave aberration is then measured at a relative pupil size which has changed over the relative pupil size used for the original measurement by a factor b, the new wave aberration will be increased or decreased by a factor kbn, where n is the exponent relating RMS wave aberration to the pupil radius, r, in the equation RMS =qrn in the initial eye. This implies that, if wave aberration is measured in a growing eye with a constant measurement pupil size, the measured RMS will decrease by the factor 1/kn–1. Conclusions: Care must be taken in measuring wave aberrations in growing eyes to account for the above scaling effects.
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