Nonreflecting permittivity profiles and the spatial KramersKronig relations
Abstract
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 KramersKronig 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 efficiently absorbing radiation, or reducing reflection from bodies.
 Publication:

arXiv eprints
 Pub Date:
 February 2015
 arXiv:
 arXiv:1503.00152
 Bibcode:
 2015arXiv150300152H
 Keywords:

 Physics  Optics;
 Mathematical Physics
 EPrint:
 10 pages, 3 figures