### 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 |
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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 | |

Publication status | Published - 17 Oct 2013 |

Event | 2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 - Turin, Italy Duration: 9 Sep 2013 → 13 Sep 2013 |

### Conference

Conference | 2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 |
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Country | Italy |

City | Turin |

Period | 9/09/13 → 13/09/13 |

### Fingerprint

### Cite this

*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

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*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.

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

TY - GEN

T1 - A sum rule and physical bound for electromagnetic band gap structures

AU - Sjoberg, D.

AU - Gustafsson, M.

AU - Seviour, R.

PY - 2013/10/17

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.

UR - http://www.scopus.com/inward/record.url?scp=84888354796&partnerID=8YFLogxK

U2 - 10.1109/ICEAA.2013.6632445

DO - 10.1109/ICEAA.2013.6632445

M3 - Conference contribution

AN - SCOPUS:84888354796

SN - 9781467357074

SP - 1236

EP - 1239

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

PB - IEEE

ER -