Aberration-free short focal length x-ray lenses.

@article{Alianelli2015AberrationfreeSF,
  title={Aberration-free short focal length x-ray lenses.},
  author={Lucia Alianelli and Manuel S{\'a}nchez del R{\'i}o and Oliver J. L. Fox and Katarzyna Korwin-Mikke},
  journal={Optics letters},
  year={2015},
  volume={40 23},
  pages={
          5586-9
        }
}
We treat the problem of defining the ideal x-ray refractive lens design for point focusing of low emittance x-ray beams at third- and fourth-generation synchrotron sources. The task is accomplished by using Fermat's principle to define a lens shape that is completely free from geometrical aberrations. Current microfabrication resolution limits are identified, and a design that tolerates the inherent fabrication imperfections is proposed. The refractive lens design delivers nanometer-sized… 

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