A sum rule and physical bound for electromagnetic band gap structures

D. Sjoberg, M. Gustafsson, R. Seviour

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We give a physical bound on the product of bandwidth and attenuation per unit length for general electromagnetic band gap structures. The analysis is based on the Kramers-Kronig relations for the Bloch refractive index for a fixed direction of propagation through the crystal. The bound is given in terms of the low- and high-frequency asymptotes of the refractive index, which can be given simple estimates in terms of the volume fractions of the component materials and their static permittivities.

LanguageEnglish
Title of host publicationProceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013
PublisherIEEE
Pages1236-1239
Number of pages4
ISBN (Print)9781467357074
DOIs
Publication statusPublished - 17 Oct 2013
Event2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 - Turin, Italy
Duration: 9 Sep 201313 Sep 2013

Conference

Conference2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013
CountryItaly
CityTurin
Period9/09/1313/09/13

Fingerprint

Refractive index
Energy gap
Kramers-Kronig relations
Volume fraction
Permittivity
Bandwidth
Crystals

Cite this

Sjoberg, D., Gustafsson, M., & Seviour, R. (2013). A sum rule and physical bound for electromagnetic band gap structures. In Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 (pp. 1236-1239). [6632445] IEEE. https://doi.org/10.1109/ICEAA.2013.6632445
Sjoberg, D. ; Gustafsson, M. ; Seviour, R. / A sum rule and physical bound for electromagnetic band gap structures. Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013. IEEE, 2013. pp. 1236-1239
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Sjoberg, D, Gustafsson, M & Seviour, R 2013, A sum rule and physical bound for electromagnetic band gap structures. in Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013., 6632445, IEEE, pp. 1236-1239, 2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013, Turin, Italy, 9/09/13. https://doi.org/10.1109/ICEAA.2013.6632445

A sum rule and physical bound for electromagnetic band gap structures. / Sjoberg, D.; Gustafsson, M.; Seviour, R.

Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013. IEEE, 2013. p. 1236-1239 6632445.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Sjoberg D, Gustafsson M, Seviour R. A sum rule and physical bound for electromagnetic band gap structures. In Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013. IEEE. 2013. p. 1236-1239. 6632445 https://doi.org/10.1109/ICEAA.2013.6632445