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… 

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