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Updated: Jul 20, 2026

Single-Particle Cryo-EM Data Collection with Stage Tilt using Leginon
Published on: July 1, 2022
Effect of tilt on the tilted power vector of a thin lens
1Optometric Science Research Group, Department of Optometry, University of Johannesburg, Johannesburg, South Africa. wfh@na.rau.ac.za
Purpose:
The purpose of this study is to derive the equation for the effect of tilt on the tilted power vector of a possibly astigmatic thin lens.
Methods:
The analysis makes use of the equation for tilted power in terms of the dioptric power matrix.
Results:
A simple equation is obtained for the tilted power vector of a thin lens in terms of the untilted power vector of the lens. A solution of the equation provides a means for compensating spectacle lenses for tilt. Numerical examples are presented in the (available online at www.optvissci.com).
Conclusions:
The equation gives insight and is useful for researchers and clinicians working in terms of power expressed as power vectors.
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