A generalization of Prentice's law for lenses with arbitrary refracting surfaces

Canabal Boutureira, Héctor Alfonso; Gómez Pedrero, José Antonio; Alonso Fernández, José; Bernabéu Martínez, Eusebio

A generalization of Prentice's law for lenses with arbitrary refracting surfaces

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Official URL

https://doi.org/10.1046/j.1475-1313.1998.00402.x

Publication date

1998

Authors

Canabal Boutureira, Héctor Alfonso

Gómez Pedrero, José Antonio

Alonso Fernández, José

Bernabéu Martínez, Eusebio

Publisher

Elsevier (antes Wiley-Blackwell)

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URI

https://hdl.handle.net/20.500.14352/100549

Citation

Gómez-Pedrero JA, Alonso J, Canabal H, Bernabeu E. A generalization of Prentice's law for lenses with arbitrary refracting surfaces. Ophthalmic Physiol Opt. 1998;18(6):514-520.

Abstract

A generalization of the Prentice's law is presented in this paper. The idea consists of removing some (but not all) of the approximations that comprise the paraxial approach. In that way, we obtain a new formulation that permits us to compute the prismatic power of a lens made up of arbitrary refracting surfaces, and to improve the precision obtained by Prentice's law when applied to monofocal lenses. The resulting formalism is simple and manageable and its derivation leads us to a precise definition of the local dioptric power matrix, introduced in a previous paper, as well as a better understanding of the same.