# Singlet lenses free of all orders of spherical aberration

@article{ValenciaEstrada2015SingletLF, title={Singlet lenses free of all orders of spherical aberration}, author={Juan Camilo Valencia-Estrada and Ricardo Flores-Hern{\'a}ndez and Daniel Malacara-Hern{\'a}ndez}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2015}, volume={471} }

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 formula and therefore one can find many practical applications. The main feature of this work is the application of an analysis that can be extended to grazing or maximum incidence on the first surface. Also, here, the authors present some developments that corroborate geometrical optics results, along with the axial thick…

## 19 Citations

### Analytic conic constants to reduce the spherical aberration of a single lens used in collimated light.

- PhysicsApplied optics
- 2017

Here, analytic equations for the conic constants, principal surfaces, and caustic surfaces are provided, and also approximations at the third and fifth orders formed by conic lenses, in order to reduce the spherical aberration at these orders.

### General formula for bi-aspheric singlet lens design free of spherical aberration.

- PhysicsApplied optics
- 2018

A rigorous analytical solution for the bi-aspheric singlet lens design problem and the input is the first surface of the singlet, which must be continuous and such that the rays inside the lens do not cross each other.

### Paraboloid–aspheric lenses free of spherical aberration

- Physics
- 2017

Abstract 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 to describe…

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

- Physics
- 2020

In their article -Appl. Opt. 58, 1010_1015 (2019)- Gonz\'alez-Acu\~na et al claimed:"an analytical closed-form formula for the design of freeform lenses free of spherical aberration and astigmatism."…

### General formula to design a freeform singlet free of spherical aberration and astigmatism: comment.

- PhysicsApplied optics
- 2020

This work presents the complete solution of an analytical closed-form formula for the design of freeform lenses free of spherical aberration and astigmatism, which can only be applied when the object and image are both real, and the image is inversed.

### Superconical aplanatic ovoid singlet lenses.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2020

Within the framework of the theory of rigorously stigmatic optical systems, making use of Cartesian surfaces for the construction of stigmatic ovoid singlet lenses, the same functionality of optical systems involving a set of spherical lenses is achieved.

### Calculation of a lens system with one or two aspherical surfaces having corrected spherical aberration.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2020

The paper presents a detailed theoretical analysis of characteristics of a rotationally symmetric lens system with one or two aspherical surfaces having corrected spherical aberration and reduced…

### Catadioptric interfaces for designing VLC antennae.

- PhysicsApplied optics
- 2017

A model to design bi-aspherical catadioptric lenses with limited image diffraction using a first refractive Cartesian oval surface that does not introduce any spherical aberration is presented.

### Spherical Aberration-Corrected Metalens for Polarization Multiplexed Imaging

- PhysicsNanomaterials
- 2021

We present a terahertz spherical aberration-corrected metalens that uses the dynamic phase to achieve polarization multiplexed imaging. The designed metalens has polarization–dependent imaging…

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