4.8 Article

Spatial Kramers-Kronig relations and the reflection of waves

Journal

NATURE PHOTONICS
Volume 9, Issue 7, Pages 436-439

Publisher

NATURE PUBLISHING GROUP
DOI: 10.1038/NPHOTON.2015.106

Keywords

-

Funding

  1. EPSRC [EP/I034548/1]
  2. EPSRC [EP/I034548/1] Funding Source: UKRI
  3. Engineering and Physical Sciences Research Council [EP/I034548/1] Funding Source: researchfish

Ask authors/readers for more resources

When a planar dielectric medium has a permittivity profile that is an analytic function in the upper or lower half of the complex position plane x = x' + ix ''. then the real and imaginary parts of its permittivity are related by the spatial Kramers-Kronig relations. We find that such a medium will not reflect radiation incident from one side, whatever the angle of incidence. 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 theories and may have relevance for designing materials that efficiently absorb radiation or for the creation of a new type of anti-reflection surface.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.8
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available