Folded bands in metamaterial photonic crystals

P. Y. Chen; C. G. Poulton; A. A. Asatryan; M. J. Steel; L. C. Botten; C. Martijn De Sterke; R. C. McPhedran

doi:10.1088/1367-2630/13/5/053007

Folded bands in metamaterial photonic crystals

P. Y. Chen, C. G. Poulton, A. A. Asatryan, M. J. Steel, L. C. Botten, C. Martijn De Sterke, R. C. McPhedran

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13 Citations (Scopus)

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Abstract

The dispersion relation of periodic structures that include metamaterials or materials with large anomalous dispersion can give bands with infinite group velocity points. These bands do not span the entire first Brillouin zone but are instead localized in k-space. We show that these points arise when both positive and negative elements are present, with the group index rather than the refractive index being the controlling quantity. A rigorous condition and two approximations are derived, each showing that an appropriate weighted average of group index being zero leads to infinite group velocity points.

Original language	English
Article number	053007
Pages (from-to)	1-18
Number of pages	18
Journal	New Journal of Physics
Volume	13
DOIs	https://doi.org/10.1088/1367-2630/13/5/053007
Publication status	Published - May 2011

Bibliographical note

Copyright 2011 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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title = "Folded bands in metamaterial photonic crystals",

abstract = "The dispersion relation of periodic structures that include metamaterials or materials with large anomalous dispersion can give bands with infinite group velocity points. These bands do not span the entire first Brillouin zone but are instead localized in k-space. We show that these points arise when both positive and negative elements are present, with the group index rather than the refractive index being the controlling quantity. A rigorous condition and two approximations are derived, each showing that an appropriate weighted average of group index being zero leads to infinite group velocity points.",

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doi = "10.1088/1367-2630/13/5/053007",

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AU - Chen, P. Y.

AU - Poulton, C. G.

AU - Asatryan, A. A.

AU - Steel, M. J.

AU - Botten, L. C.

AU - Martijn De Sterke, C.

AU - McPhedran, R. C.

N1 - Copyright 2011 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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N2 - The dispersion relation of periodic structures that include metamaterials or materials with large anomalous dispersion can give bands with infinite group velocity points. These bands do not span the entire first Brillouin zone but are instead localized in k-space. We show that these points arise when both positive and negative elements are present, with the group index rather than the refractive index being the controlling quantity. A rigorous condition and two approximations are derived, each showing that an appropriate weighted average of group index being zero leads to infinite group velocity points.

AB - The dispersion relation of periodic structures that include metamaterials or materials with large anomalous dispersion can give bands with infinite group velocity points. These bands do not span the entire first Brillouin zone but are instead localized in k-space. We show that these points arise when both positive and negative elements are present, with the group index rather than the refractive index being the controlling quantity. A rigorous condition and two approximations are derived, each showing that an appropriate weighted average of group index being zero leads to infinite group velocity points.

UR - https://www.scopus.com/pages/publications/79956318141

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DO - 10.1088/1367-2630/13/5/053007

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SP - 1

EP - 18

JO - New Journal of Physics

JF - New Journal of Physics

M1 - 053007

ER -

Folded bands in metamaterial photonic crystals

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