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

@article{ValenciaEstrada2020GeneralFT,
  title={General formula to design a freeform singlet free of spherical aberration and astigmatism: comment},
  author={Juan Camilo Valencia-Estrada and Jorge Garc{\'i}a‐M{\'a}rquez},
  journal={arXiv: Optics},
  year={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." 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. 
1 Citations

Figures from this paper

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

  • A. MikšP. Pokorný
  • Physics
    Journal 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

References

SHOWING 1-10 OF 19 REFERENCES

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

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 bi-aspheric singlet lens design free of spherical aberration.

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.

Determination of unit normal vectors of aspherical surfaces given unit directional vectors of incoming and outgoing rays: comment.

  • A. MikšP. Novák
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2012
A much simpler method is presented that leads to compact equations suitable for practical implementation and is based on the knowledge of the unit directional vectors of the incoming and outgoing rays.

Principles,” Appl

  • Opt., 58(30) 9455-9464.
  • 2019

commentary", J

  • Opt. Soc. Am. A, 29(7), 1356-1357
  • 2012

Freeform geometrical optics I: principles.

It is shown that with the rules expressed in a reduced vector analytical solution set of equations, the theory on which classical lens design is based has changed radically, as the theoretical foundations do not rely on the classical ray-tracing rules.

Singlet lenses free of all orders of spherical aberration

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

Boxed -> False, RegionFunction -> Function