shape magnification
The part of spectacle magnification that comes from the form of the lens rather than its power. A lens enlarges or shrinks the retinal image through its front-surface curvature, its center thickness and its refractive index, and this contribution is called the shape factor1.
The shape factor is , where is the center thickness in meters, the front-surface power in diopters and the refractive index1. Of two lenses of the same power, the one with the more curved front surface or thicker center magnifies more1. A lens with a plus front surface and a minus back surface that add to zero power still magnifies, because it behaves like a tiny telescope1,2.
More detail
The shape factor is a tool for equalizing retinal image sizes in anisometropia. The two lenses are ordered with different front curves and thicknesses, with the more plus lens made flatter and thinner, and the vertex distance kept short3.
Sources (8)
- Schwartz, Geometrical and Visual Optics, ch. 15, Retinal Image Size
- Brooks and Borish, System for Ophthalmic Dispensing, ch. 21, Aniseikonia
- Pickwell's Binocular Vision Anomalies, ch. 11, Aniseikonia
- Atchison, D.A. and Charman, W.N. 2010. Optics of the human eye. Oxford: Butterworth-Heinemann.
- Benjamin, W.J. ed. 2006. Borish's clinical refraction. 2nd ed. St. Louis: Butterworth-Heinemann Elsevier.
- Fowler, C.W. and Pateras, C. 1990. Progressive addition lenses–Part I. Ophthalmic and Physiological Optics, 10(2), pp.183-195.
- Jalie, M. 2003. Ophthalmic lenses and dispensing. 2nd ed. Oxford: Butterworth-Heinemann.
- Rutstein, R. and Daum, K. 1997. Anomalies of Binocular Vision: Diagnosis & Management. St. Louis: Mosby.
Reviewed October 2026