Keller’s theorem revisited

Keller’s theorem relates the components of the macroscopic dielectric response of a binary twodimensional composite system with those of the reciprocal system obtained by interchanging its components. We present a derivation of the theorem that, unlike previous ones, does not employ the common assum...

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Autores principales: Ortiz, Guillermo Pablo, Mochán, W. Luis
Formato: Artículo
Lenguaje:Inglés
Publicado: IOP Publishing Ltd 2021
Materias:
Effective media
Recursive algorithm
Composites
Plasmons
Random media
Optics
2D Materials
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/28117
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-28117
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spelling I48-R184-123456789-281172025-03-06T11:04:28Z Keller’s theorem revisited Ortiz, Guillermo Pablo Mochán, W. Luis Effective media Recursive algorithm Composites Plasmons Random media Optics 2D Materials Keller’s theorem relates the components of the macroscopic dielectric response of a binary twodimensional composite system with those of the reciprocal system obtained by interchanging its components. We present a derivation of the theorem that, unlike previous ones, does not employ the common assumption that the response function relates an irrotational to a solenoidal field and that is valid for dispersive and dissipative anisotropic systems. We show that the usual statement of Keller’s theorem in terms of the conductivity is strictly valid only at zero frequency and we obtain a new generalization for finite frequencies. We develop applications of the theorem to the study of the optical properties of systems such as superlattices, 2D isotropic and anisotropic metamaterials and random media, to test the accuracy of theories and computational schemes, and to increase the accuracy of approximate calculations. 2021-06-10T19:33:30Z 2021-06-10T19:33:30Z 2018 Artículo Ortiz, Guillermo Pablo y Mochán, W Luis, 2018. Keller’s theorem revisited. New Journal of Physics. United Kingdom: IOP Publishing Ltd, vol. 20, no. 2, p.1-17. ISSN 1367-2630. 1367-2630 http://repositorio.unne.edu.ar/handle/123456789/28117 eng openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf application/pdf IOP Publishing Ltd New Journal of Physics, 2018, vol. 20, no. 2, p.1-17.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Effective media
Recursive algorithm
Composites
Plasmons
Random media
Optics
2D Materials
spellingShingle Effective media
Recursive algorithm
Composites
Plasmons
Random media
Optics
2D Materials
Ortiz, Guillermo Pablo
Mochán, W. Luis
Keller’s theorem revisited
topic_facet Effective media
Recursive algorithm
Composites
Plasmons
Random media
Optics
2D Materials
description Keller’s theorem relates the components of the macroscopic dielectric response of a binary twodimensional composite system with those of the reciprocal system obtained by interchanging its components. We present a derivation of the theorem that, unlike previous ones, does not employ the common assumption that the response function relates an irrotational to a solenoidal field and that is valid for dispersive and dissipative anisotropic systems. We show that the usual statement of Keller’s theorem in terms of the conductivity is strictly valid only at zero frequency and we obtain a new generalization for finite frequencies. We develop applications of the theorem to the study of the optical properties of systems such as superlattices, 2D isotropic and anisotropic metamaterials and random media, to test the accuracy of theories and computational schemes, and to increase the accuracy of approximate calculations.
format Artículo
author Ortiz, Guillermo Pablo
Mochán, W. Luis
author_facet Ortiz, Guillermo Pablo
Mochán, W. Luis
author_sort Ortiz, Guillermo Pablo
title Keller’s theorem revisited
title_short Keller’s theorem revisited
title_full Keller’s theorem revisited
title_fullStr Keller’s theorem revisited
title_full_unstemmed Keller’s theorem revisited
title_sort keller’s theorem revisited
publisher IOP Publishing Ltd
publishDate 2021
url http://repositorio.unne.edu.ar/handle/123456789/28117
work_keys_str_mv AT ortizguillermopablo kellerstheoremrevisited
AT mochanwluis kellerstheoremrevisited
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