3 ms·
The paper is from Nov 2018, and is easy to find online. It’s a pretty amazing result; the examples they give in the paper are for some reasonable shaped primary
by thechao 7y ago
The paper is from Nov 2018, and is easy to find online. It’s a pretty amazing result; the examples they give in the paper are for some reasonable shaped primary surfaces and some really neat “exotic” stuff. The solution actually admits aberrant free solutions for any geometry that doesn’t include self-crossing rays. So, some of the ‘weird’ examples include a Bessel-function cross section, negative index of refraction, and lenses that focus at negative infinity.
The author’s have a paper from March 2019 (in arXiv) that uses the result to build some novel telescope geometries.
- jhncls 7y ago[0] https://arxiv.org/abs/1811.03792 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 https://arxiv.org/abs/1903.11129 "Single lens telescope"
- sdenton4 7y agoHmmm..... I have a 1/3rd hand-ground telescope mirror lying around... maybe I should see if I can apply some principles here...
- asark 7y ago> and lenses that focus at negative infinity. Any reasonable chance of of implications for projective geometry?