A General formula for lenses without spherical abberation

  • Thread starter mfb
  • Start date
32,811
8,650
Summary
Solution to a long-standing problem: How to make lenses without spherical abberation?
Publication: Rafael G. González-Acuña and Héctor A. Chaparro-Romo, "General formula for bi-aspheric singlet lens design free of spherical aberration," Appl. Opt. 57, 9341-9345 (2018)
Open access preprint: arXiv

Given one surface of a lens, how does the other surface has to look like to avoid spherical abberation? A question as old as the design of lenses. Computers found numerical approximations but an analytic expression is new. Just use this handy formula:

formula.png
 
10,587
4,120
Wow this is quite cool. It’s funny how there are still physics problems hanging out there that have been pretty much forgotten except by those in the field.
 
471
281
Very handy, indeed :D My hat's off to whomever typed that out, holy mother of ..
 
32,811
8,650
If you look into the expression there are many repeated elements. Replace them by other symbols and the equation gets more handy already. The preprint doesn't have the formula and I don't have access to the full publication (not even the usual approaches work) so the image is all I have.
 

Want to reply to this thread?

"General formula for lenses without spherical abberation" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top