This paper describes a method to design families of singlet lenses free of all orders of
spherical aberration. These lenses can be mass produced according to Schwarzschild's …

We obtained novel analytic expressions which permit us to realize the optical design of any
thick lens, this analysis include both first and exact order design. We employ the conic …

In this work, we return to Descartes's idea to develop a formalism to construct rigorously
stigmatic singlet lenses comprising two Cartesian surfaces. Optical systems are built using a …

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 …

In this paper, we present a rigorous analytical solution for the bi-aspheric singlet lens design
problem. The input of the general formula presented here is the first surface of the singlet …

A method to design singlet paraboloid-aspheric lenses free of all orders of spherical
aberration with maximum aperture is described. This work includes all parametric formulas …

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 …

Lens design uses a calculation of the lens' surfaces that permits us to obtain an image from
a given object. A set of general rules and laws permits us to calculate the essential points of …

We present the general formula to generated aspheric collimator lens free of spherical
aberration and astigmatism. The presented formula describes the second surface of the …

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 …