Abstract
In eye aberrometry it is often necessary to transform the aberration coefficients in order to express them in a scaled, rotated, and/or displaced pupil. This is usually done by applying to the original coefficients vector a set of matrices accounting for each elementary transformation. We describe an equivalent algebraic approach that allows us to perform this conversion in a single step and in a straightforward way. This approach can be applied to any particular definition, normalization, and ordering of the Zernike polynomials, and can handle a wide range of pupil transformations, including, but not restricted to, anisotropic scalings. It may also be used to transform the aberration coefficients between different polynomial basis sets.
© 2006 Optical Society of America
Full Article | PDF ArticleMore Like This
Linda Lundström and Peter Unsbo
J. Opt. Soc. Am. A 24(3) 569-577 (2007)
Lei Li, Bao Zhang, Yongsen Xu, and Dejiang Wang
Appl. Opt. 57(34) F22-F30 (2018)
Yongfeng Zhang, Shengqian Wang, Hao Xian, and Changhui Rao
J. Opt. Soc. Am. A 38(8) 1131-1139 (2021)