A sum rule and physical bound for electromagnetic band gap structures

D. Sjoberg; M. Gustafsson; R. Seviour

doi:10.1109/ICEAA.2013.6632445

A sum rule and physical bound for electromagnetic band gap structures

D. Sjoberg, M. Gustafsson, R. Seviour

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013
Publisher	IEEE
Pages	1236-1239
Number of pages	4
ISBN (Print)	9781467357074
DOIs	https://doi.org/10.1109/ICEAA.2013.6632445
Publication status	Published - 17 Oct 2013
Event	15th International Conference on Electromagnetics in Advanced Applications - Turin, Italy Duration: 9 Sep 2013 → 13 Sep 2013 Conference number: 15 https://www.aconf.org/conf_35655.html

Conference

Conference	15th International Conference on Electromagnetics in Advanced Applications
Abbreviated title	ICEAA 2013
Country/Territory	Italy
City	Turin
Period	9/09/13 → 13/09/13
Internet address	https://www.aconf.org/conf_35655.html

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title = "A sum rule and physical bound for electromagnetic band gap structures",

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.",

author = "D. Sjoberg and M. Gustafsson and R. Seviour",

year = "2013",

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doi = "10.1109/ICEAA.2013.6632445",

language = "English",

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pages = "1236--1239",

booktitle = "Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013",

publisher = "IEEE",

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note = "15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 ; Conference date: 09-09-2013 Through 13-09-2013",

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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, 15th International Conference on Electromagnetics in Advanced Applications, Turin, Italy, 9/09/13. https://doi.org/10.1109/ICEAA.2013.6632445

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AU - Gustafsson, M.

AU - Seviour, R.

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Y1 - 2013/10/17

N2 - 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.

AB - 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.

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DO - 10.1109/ICEAA.2013.6632445

M3 - Conference contribution

AN - SCOPUS:84888354796

SN - 9781467357074

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BT - Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013

PB - IEEE

T2 - 15th International Conference on Electromagnetics in Advanced Applications

Y2 - 9 September 2013 through 13 September 2013

ER -

A sum rule and physical bound for electromagnetic band gap structures

Abstract

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