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

@article{GonzlezAcua2018GeneralFF, title={General formula for bi-aspheric singlet lens design free of spherical aberration.}, author={Rafael G. Gonz{\'a}lez-Acu{\~n}a and H{\'e}ctor A. Chaparro-Romo}, journal={Applied optics}, year={2018}, volume={57 31}, pages={ 9341-9345 } }

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 lens; this surface must be continuous and such that the rays inside the lens do not cross each other. The output is the correcting second surface of the singlet; the second surface is such that the singlet is free of spherical aberration.

## 37 Citations

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

- PhysicsApplied optics
- 2019

An analytical closed-form formula for the design of freeform lenses free of spherical aberration and astigmatism is presented based on the formal application of the variational Fermat principle under the standard geometrical optics approximation.

### General formula for aspheric collimator lens design free of spherical aberration

- PhysicsCurrent Developments in Lens Design and Optical Engineering XX
- 2019

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 aspheric singlet such as…

### General formula to design freeform collimator lens free of spherical aberration and astigmatism

- PhysicsOptical Engineering + Applications
- 2019

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

### 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…

### 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 eliminate spherical aberration produced by an arbitrary number of lenses

- PhysicsOptical Engineering
- 2019

Abstract. We present a general analytic and close-form formula to determine the shape of a surface that corrects the spherical aberration generated by an arbitrary number of preceding surfaces. The…

### 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.

### Analytic aplanatic singlet lens: setting and design for three-point objects and images in the meridional plane

- Physics
- 2020

Abstract. We present the setting and design of an aplanatic optical system for three-point objects and images. The system is composed of a singlet aspheric lens and its entrance pupil. The aspheric…

### Analytic formulation of a spherochromatic collimator lens

- PhysicsOptical Engineering + Applications
- 2020

We introduce a closed-form formula to design a spherochromatic collimator singlet lens. The light for three different wavelengths is collimated at the output of the lens. We test the singlet lens…

### General formula of the refractive telescope design free spherical aberration

- PhysicsOptical Engineering + Applications
- 2019

We present a general analytic and close-form formula to determine the shape of a surface that corrects the spherical aberration generated by an arbitrary number of preceding surfaces in a refractive…

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