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Spatial Kramers-Kronig relations and the reflection of waves
Authors
A Regensburger
B-I Popa
+30 more
D Ye
E Titchmarsh
FL Teixeira
G Castaldi
G. C. La Rocca
H Odabasi
HA Macleod
I Kay
J Lekner
J Lekner
J Valentine
J-H Wu
J-P Berenger
JB Pendry
JB Pendry
KG Makris
L Feng
L Ge
LD Landau
LD Landau
LD Landau
LV Thekkekara
M. Artoni
S Longhi
S. A. R. Horsley
T Kottos
U Leonhardt
V Lucarini
W Cai
Z Lin
Publication date
1 January 2015
Publisher
'Springer Science and Business Media LLC'
Doi
Abstract
Copyright © 2015, Rights Managed by Nature Publishing GroupAuthor version of article. The version of record is available from the publisher via DOI: 10.1038/nphoton.2015.106When 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.Engineering and Physical Sciences Research Council (EPSRC
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info:doi/10.1038%2Fnphoton.201...
Last time updated on 11/12/2019
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Archivio istituzionale della ricerca - Università di Brescia
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Archivio istituzionale della ricerca - Università di Brescia
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oai:iris.unibs.it:11379/465576
Last time updated on 04/02/2021
Archivio istituzionale della Ricerca - Scuola Normale Superiore
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oai:ricerca.sns.it:11384/58707
Last time updated on 03/09/2019