Abstract

In this paper, we present a rigorous analytical solution for the bi-aspheric singlet lens design problem. The input of the general formula presented here is the first surface of the singlet lens; this surface must be continuous and such that the rays inside the lens do not cross each other. The output is the correcting second surface of the singlet; the second surface is such that the singlet is free of spherical aberration.

© 2018 Optical Society of America

General formula to design a freeform singlet free of spherical aberration and astigmatism

Rafael G. González-Acuña, Héctor A. Chaparro-Romo, and Julio C. Gutiérrez-Vega
Appl. Opt. 58(4) 1010-1015 (2019)

Near-null interferometry using an aspheric null lens generating a broad range of variable spherical aberration for flexible test of aspheres

Shuai Xue, Shanyong Chen, and Guipeng Tie
Opt. Express 26(24) 31172-31189 (2018)

Superconical aplanatic ovoid singlet lenses

Alberto Silva-Lora and Rafael Torres
J. Opt. Soc. Am. A 37(7) 1155-1165 (2020)

Methods of solving aspheric singlets and cemented doublets with given primary aberrations

Chaohsien Chen
Appl. Opt. 53(29) H202-H212 (2014)

Analytic design of a spherochromatic singlet

Rafael G. González-Acuña and Julio C. Gutiérrez-Vega
J. Opt. Soc. Am. A 37(1) 149-153 (2020)