This Physicist Found The Solution For A 2000-Year-Old, Supposedly Unsolvable Math Problem

Aadhya Khatri - Aug 09, 2019


This Physicist Found The Solution For A 2000-Year-Old, Supposedly Unsolvable Math Problem

This problem has been considered unsolvable for over 2000 years until a Mexican physicist came up with a formula to solve it

This problem used to be considered unsolvable as no one has managed to find a solution for it in the last 2000 years. And now, after a Mexican physicist came up with a formula to solve it, the lenses making industry will be changed forever.

In theory, curved glass lenses should focus all the light rays that pass through it onto one single target, the focal point. However, in reality, things are not exactly that perfect. The imperfections in the materials and shapes, as well as different refractions on the lenses, have led to the spherical aberration, a phenomenon in which some of the rays going near the outer edges miss the wanted point. Some household names in the field gave up on this problem, like Diocles, a Greek mathematician and Isaac Newton.

Spherical-Aberration-light-rays
How light rays are supposed to be focused and how they actually behave in real life

To fix the problem of spherical aberration, lens manufacturers have made use of additional aspherical lenses and come up with several new designs, and their attempt works. They have come really close to making lenses that can help capture uniformly sharp images.

However, this method is time-consuming and expensive as manufacturers have to make a new aspherical shape for each individual application.

Now, with the formula of Rafael G. González-Acuña, A Mexican physicist and doctoral student at Mexico's Tecnológico de Monterrey, we can have a solution to solve the problem of spherical aberration.

formula-spherical-aberration
The brain-melting formula of Rafael G. González-Acuña

This formula makes no sense to an average person, but it means the world to lenses maker and mathematicians. For the former group, they now have blueprints for lenses that are free of the effect of spherical aberration. The best part is, no matter what the material, the application, and the size, this formula will give makers the exact numbers for optically perfect lenses.

This formula has a large number of practical applications, like significantly reducing the price of lenses while increasing the quality of images, enhancing the sharpness of microscopes and telescopes, ...the list goes on.

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