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Electromagnetic modes in cavities made of negative-index metamaterials.

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Electromagnetic modes in cavities made of negative-index metamaterials. / Wiersig, Jan; Unterhinninghofen, Julia; Schomerus, Henning et al.
In: Physical review a, Vol. 81, No. 2, 02.2010, p. 023809.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Wiersig, J, Unterhinninghofen, J, Schomerus, H, Peschel, U & Hentschel, M 2010, 'Electromagnetic modes in cavities made of negative-index metamaterials.', Physical review a, vol. 81, no. 2, pp. 023809. https://doi.org/10.1103/PhysRevA.81.023809

APA

Wiersig, J., Unterhinninghofen, J., Schomerus, H., Peschel, U., & Hentschel, M. (2010). Electromagnetic modes in cavities made of negative-index metamaterials. Physical review a, 81(2), 023809. https://doi.org/10.1103/PhysRevA.81.023809

Vancouver

Wiersig J, Unterhinninghofen J, Schomerus H, Peschel U, Hentschel M. Electromagnetic modes in cavities made of negative-index metamaterials. Physical review a. 2010 Feb;81(2):023809. doi: 10.1103/PhysRevA.81.023809

Author

Wiersig, Jan ; Unterhinninghofen, Julia ; Schomerus, Henning et al. / Electromagnetic modes in cavities made of negative-index metamaterials. In: Physical review a. 2010 ; Vol. 81, No. 2. pp. 023809.

Bibtex

@article{da180b23d6da443694f9a0b5e45e83f9,
title = "Electromagnetic modes in cavities made of negative-index metamaterials.",
abstract = "We discuss electromagnetic modes in cavities formed by metamaterials with negative refraction and demonstrate that the straightforward approach to substitute negative values of the electric permittivity and the magnetic permeability leads to quasibound states with a negative quality factor. To ensure positive quality factors and a consistent physical interpretation of the quasibound states it is essential to include the frequency dispersion of the permittivity and the permeability, as required by positive field energy and causality. The basic mode equation and the boundary conditions including linear frequency dispersion are derived. As an example we consider a disklike cavity with deformed cross-sectional shape. The transition from the unphysical nondispersive case with negative quality factors to the dispersive case with positive quality factors is demonstrated numerically and in an analytical perturbative treatment.",
author = "Jan Wiersig and Julia Unterhinninghofen and Henning Schomerus and Ulf Peschel and Martina Hentschel",
year = "2010",
month = feb,
doi = "10.1103/PhysRevA.81.023809",
language = "English",
volume = "81",
pages = "023809",
journal = "Physical review a",
issn = "1050-2947",
publisher = "American Physical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Electromagnetic modes in cavities made of negative-index metamaterials.

AU - Wiersig, Jan

AU - Unterhinninghofen, Julia

AU - Schomerus, Henning

AU - Peschel, Ulf

AU - Hentschel, Martina

PY - 2010/2

Y1 - 2010/2

N2 - We discuss electromagnetic modes in cavities formed by metamaterials with negative refraction and demonstrate that the straightforward approach to substitute negative values of the electric permittivity and the magnetic permeability leads to quasibound states with a negative quality factor. To ensure positive quality factors and a consistent physical interpretation of the quasibound states it is essential to include the frequency dispersion of the permittivity and the permeability, as required by positive field energy and causality. The basic mode equation and the boundary conditions including linear frequency dispersion are derived. As an example we consider a disklike cavity with deformed cross-sectional shape. The transition from the unphysical nondispersive case with negative quality factors to the dispersive case with positive quality factors is demonstrated numerically and in an analytical perturbative treatment.

AB - We discuss electromagnetic modes in cavities formed by metamaterials with negative refraction and demonstrate that the straightforward approach to substitute negative values of the electric permittivity and the magnetic permeability leads to quasibound states with a negative quality factor. To ensure positive quality factors and a consistent physical interpretation of the quasibound states it is essential to include the frequency dispersion of the permittivity and the permeability, as required by positive field energy and causality. The basic mode equation and the boundary conditions including linear frequency dispersion are derived. As an example we consider a disklike cavity with deformed cross-sectional shape. The transition from the unphysical nondispersive case with negative quality factors to the dispersive case with positive quality factors is demonstrated numerically and in an analytical perturbative treatment.

U2 - 10.1103/PhysRevA.81.023809

DO - 10.1103/PhysRevA.81.023809

M3 - Journal article

VL - 81

SP - 023809

JO - Physical review a

JF - Physical review a

SN - 1050-2947

IS - 2

ER -