Issue |
J. Eur. Opt. Soc.-Rapid Publ.
Volume 9, 2014
|
|
---|---|---|
Article Number | 14001 | |
Number of page(s) | 7 | |
DOI | https://doi.org/10.2971/jeos.2014.14001 | |
Published online | 08 January 2014 |
Regular papers
Wood’s anomalies for arrays of dielectric scatterers
1
Institut Langevin CNRS ESPCI ParisTech, 1 rue Jussieu 75005 Paris France
2
LAUM CNRS Université du Maine, avenue Olivier Messiaen 72085 Le Mans France
3
Poems CNRS ENSTA ParisTech INRIA, 828 boulevard des Maréchaux 91762 Palaiseau France
Received:
18
October
2013
Revised:
3
December
2013
The Rayleigh Wood anomalies refer to an unexpected repartition of the electromagnetic energy between the several interference orders of the light emerging from a grating. Since Hessel and Oliner (Appl. Opt. 4, 1275-1297 (1965)), several studies have been dedicated to this problem, focusing mainly on the case of metallic gratings. In this paper, we derive explicit expressions of the reflection coefficients in the case of dielectric gratings using a perturbative approach. This is done in a multimodal description of the field combined with the use of the admittance matrix, analog to the so-called electromagnetic impedance. Comparisons with direct numerical calculations show a good agreement with our analytical prediction.
Key words: Wood anomalies / admittance matrix / coupled wave analysis
© The Author(s) 2014. All rights reserved.
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