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| 2. |
- 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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| 3. |
- Gustafsson, Mats, et al.
(author)
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Optical theorem and forward scattering sum rule for periodic structures
- 2012
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In: IEEE Transactions on Antennas and Propagation. - 0018-926X. ; 60:8, s. 3818-3826
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Journal article (peer-reviewed)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 total 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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| 4. |
- 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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| 7. |
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| 8. |
- Vakili, Iman, et al.
(author)
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Forward scattering properties of periodic metamaterials
- 2012
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In: 6th European Conference on Antennas and Propagation (EUCAP), 2012. - 9781457709180 ; , s. 2680-2682
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Conference paper (peer-reviewed)abstract
- Forward scattering measurements of periodic metamaterials are investigated. A sum rule for forward scattering is derived using the optical theorem and analytic properties of Herglotz functions. It shows that the absorbed and scattered power over all wavelengths from a periodic metamaterial is related to the static polarizability per unit cell. The theoretical results are verified by a parallel plate waveguide measurement setup.
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| 10. |
- Vakili, Iman, et al.
(author)
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Sum Rules for Parallel-Plate Waveguides : Experimental Results and Theory
- 2014
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In: IEEE transactions on microwave theory and techniques. - 0018-9480 .- 1557-9670. ; 62:11, s. 2574-2582
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Journal article (peer-reviewed)abstract
- An experimental approach to investigate the forward scattering sum rule for periodic structures is presented. This approach allows an upper bound on the total cross section integrated over a bandwidth from a simple static problem to be found. Based on energy conservation, the optical theorem is used to construct a relation between the total cross section and the forward scattering of periodic structures as well as single scatterers inside a parallel-plate waveguide. Dynamic measurements are performed using a parallel-plate waveguide and a parallel-plate capacitor is utilized to find the static polarizability. Convex optimization is introduced to identify the total cross section in the dynamic measurements and estimate an optimal lower bound on the polarizability for objects. The results show that the interactions between the electromagnetic field and an object over all wavelengths are given by the static polarizability of the object.
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