Hah, thanks so much Rich! I suppose it would look simpler from a programmer’s perspective if written with variables – easier to spot the same variable used in multiple locations quickly.

Yes, I understood the design to be for a singlet at least. Imagine the complexities of what used to be a simple triplet design with this methodology applied, or… would that even be necessary?

There are a lot of novel ways to improve lens manufacturing techniques as we push towards higher resolution sensors and a shift towards mobile. Large manufacturers have a hard time adapting to radical changes though, due to their immense investment in more traditional manufacturing facilities. As soon as one major player decides to step outside the box however, we’ll see many companies follow. Wouldn’t that be fun. 🙂

The formula in the PetaPixel article looks intimidating but there appears to be lot’s of repeating terms. In addition it has lots of repeating elements. Without seeing the the whole article I wouldn’t feel all that intimidated. It is mostly low level arithmetic. Admittedly lots of it. If I saw triple integrals or partial differential equations I’d get nervous – more likely my stage in life panicked if I had to actually solve it. Please note the solution is for a singlet. I also suspect that the figure is exaggerated for illustrative purposes.

With respect to manufacturing the youtube video link below if from 2005 but it does illustrate how lenses are made. I’m sure that the lens manufacturers could find a way to adapt to this type of shape if needed.

https://www.youtube.com/watch?v=ovxtgj4SsiI

Although I suspect Canon has automated more of the process for the fabrication of the big white lenses it’s not surprising that they cost as much as they do.

All the best – Rich Ball

Thanks Anders, and link fixed! 🙂

And on its own note Congrats Don to the extreamly good work with the kickstarter campain