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- Gustafsson, Mats, et al.
(author)
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On the extraordinary transmission through sub-wavelength apertures in perfectly conducting sheets
- 2011
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In: 2011 International Conference on Electromagnetics in Advanced Applications : Proceedings of a meeting held 12-16 September 2011, Torino, Italy. - Proceedings of a meeting held 12-16 September 2011, Torino, Italy.. - 9781612849775
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Conference paper (peer-reviewed)abstract
- Extraordinary transmission of electromagnetic power through sub-wavelength apertures is usually observed in a narrow bandwidth range and the transmission outside this range is low. In this paper, it is shown that the transmission through periodic apertures in an otherwise perfectly electric conducting sheet satisfies a sum rule that relates wavelength regions with transmission above a threshold with the polarizability of the complementary structure. The theoretical results are illustrated with a numerical example for split ring apertures.
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- Gustafsson, Mats, et al.
(author)
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Optical theorem and forward scattering sum rule for periodic structures
- 2011
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Reports (other academic/artistic)abstract
- Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the extinction cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.
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