arXiv subjects

Juan Camilo Valencia-Estrada

Publications and source records attributed to Juan Camilo Valencia-Estrada.

3 recordsLinked to original sources

arXiv2020

General formula to design a freeform singlet free of spherical aberration and astigmatism : Comment

In their article -Appl. Opt. 58, 1010_1015 (2019)- González-Acuña et al claimed:"an analytical closed-form formula for the design of freeform lenses free of spherical aberration and astigmatism." However, as we show here, their formula can only be applied when the object and image are both real and the image is inversed, additionally, the refractive index in the object and image media is the same. Here, we present the complete solution of this particular formula.

physics.optics↗

arXiv2019

Freeform geometrical optics I: Principles

Lens design uses a calculation of the lens' surfaces that permit to obtain an image from a given object. A set of general rules and laws permits to calculate the essential points of the optical system such as distances, thickness, pupils, and focal distance among others. Now, the theory on which the classical lens design is based changes radically as our theoretical foundations do not rely on the classical ray tracing rules. We show that with the rules expressed in a reduced vector analytical solution set of equations, we can take into account all optical elements, i.e. refractive, reflective, catadioptric. These foundations permit to keep under control the system aberration budget in every surface. It reduces the computation time dramatically. The examples presented here were possible because of the versatility of this theoretical approach.

physics.optics↗

arXiv2019

On-axis diffraction-limited design of bi-parabolic singlet lenses

A lens limited by diffraction and having two parabolic surfaces is presented. The knowledge of the following parameters: object distance, relative refractive index, lens thickness, and image distance, enables to analytically calculate the parabolic front and back surfaces. The conditions to obtain diffraction-limited images for these lenses and its maximal diameter are described. These bi-parabolic lenses can be easily manufactured at reduced costs and can be used for several commercial and industrial applications. The method to obtain such surfaces and a simple example validated by using Oslo are described here.

physics.optics↗