This book presents an in-depth look at lenses free of spherical aberrations and is provided
using illustrative examples. Mathematical principles behind lenses free of spherical …

It is known that, besides being stigmatic, spherical refracting surfaces are aplanatic at their
Young points since they satisfy the Abbe sine condition rigorously. The Abbe sine condition …

One of the main challenges of wearing contact lenses is their effect on the vision of the
human eye. In this work, a simulation approach is presented based on mathematical …

The exact partial differential equation to design aplanatic freeform-mirror-based optical
systems is presented. The partial differential equation is not limited by the number of …

In this paper, a new, to the best of our knowledge, differential equation for designing a pair of
aplanatic mirrors is introduced. The differential equation is a direct consequence of the …

We present a method for designing lenses with two aspherical surfaces having minimal
Fresnel losses among the class of stigmatic lenses. Minimization of Fresnel losses is …

We present the exact differential equations to design an aplanatic sequential optical system,
a system that is free of spherical aberration and linear coma. We get the exact set of …

We present a study of the diffraction pattern according to Richards–Wolf for an aplanatic and
stigmatic singlet based on an exact analytical equation. We are able to put emphasis on the …

An analytically designed aplanatic meniscus lens is proposed for increasing the field of view
(FoV) of Ritchey-Chrétien (RC) telescopes. Compared to other field correctors, the proposed …

We present the general formula to design a mirror such that it reflects the light of a given
arbitrary wavefront as a plane wave for two and three dimensions. The formula is fully …