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arXiv:1811.03792physics.optics

Rigorous analytical formula for freeform singlet lens design free of spherical aberration

Rafael G. Gonzalez-Acuña, Hector A. Chaparro-Romo, Julio C. Gutierrez-Vega

Abstract

An analytical closed-form formula for the design of freeform lenses free of spherical aberration is presented. Given the equation of the freeform input surface, the formula gives the equation of the second surface in order to correct the spherical aberration. The derivation is based on the formal application of the variational Fermat principle under the standard geometrical optics approximation.

arXiv comments
Journal reference
DOI
doi:10.1364/AO.57.009341
Subjects
physics.opticsOptics

On Hacker News

Linked by 4 identifiable commenters in 4 comments across 2 threads, from Jul 2019 to Apr 2020.

Comments linking this paper, per year.

Discussed in comments2 threads

  1. Lens Aberrations Explained 1 comment

    • Since the recent (2019) mathematical discovery allowing elimination of spherical aberration[1], I've wondered if lenses will either be simplified, or redesigned for better optical performance. [1] https://arxiv.org/abs/1811.03792

      m463View on HNParent context

  2. Goodbye Aberration: Physicist Solves 2,000-Year-Old Optical Problem 3 comments

    • [0] https://arxiv.org/abs/1811.03792 "Rigorous analytical formula for freeform singlet lens design free of spherical aberration" [1] https://arxiv.org/abs/1903.11129 "Single lens telescope"

      jhnclsView on HNParent context

    • This seems to be a version of it: https://arxiv.org/abs/1811.03792

      mklView on HNParent context

    • Or on the arXiv: https://arxiv.org/abs/1811.03792 . It also looks like the first author wrote up a local article which seems to have substantially, umm, inspired the linked write up: https://transferencia.tec.mx/en/2019/02/21/eureka-they-find-... .

      JadeNBView on HNParent context

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