• Corpus ID: 118796778

Non-reflecting permittivity profiles and the spatial Kramers-Kronig relations

@article{Horsley2015NonreflectingPP,
  title={Non-reflecting permittivity profiles and the spatial Kramers-Kronig relations},
  author={Simon A. R. Horsley and Maurizio Artoni and Giuseppe C. La Rocca},
  journal={arXiv: Optics},
  year={2015}
}
We show that if the permittivity profile of a planar dielectric medium is an analytic function in the upper (lower) half complex position plane then it won't reflect radiation from the left (right), whatever the angle of incidence. Consequently, using the spatial Kramers-Kronig relations one can derive a real part of a permittivity profile from some given imaginary part (or vice versa), such that the reflection is guaranteed to be zero. This result is valid for both scalar and vector wave… 

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