Microscopic model of Purcell enhancement in hyperbolic metamaterials

Alexander N. Poddubny; Pavel A. Belov; Pavel Ginzburg; Anatoly V. Zayats; Yuri S. Kivshar

doi:10.1103/PhysRevB.86.035148

Microscopic model of Purcell enhancement in hyperbolic metamaterials

Alexander N. Poddubny^*, Pavel A. Belov, Pavel Ginzburg, Anatoly V. Zayats, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

108 Citations (Scopus)

Abstract

We study theoretically the dramatic enhancement of spontaneous emission in metamaterials with the hyperbolic dispersion modeled as a cubic lattice of anisotropic resonant dipoles. We analyze the dependence of the Purcell factor on the source position in the lattice unit cell and demonstrate that the optimal emitter positions needed to achieve large Purcell factors and Lamb shifts are in the local field maxima. We show that the calculated Green function has a characteristic crosslike shape, spatially modulated due to the structural discreteness. Our basic microscopic theory provides fundamental insights into the rapidly developing field of hyperbolic metamaterials.

Original language	English
Article number	035148
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	86
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.86.035148
Publication status	Published - 30 Jul 2012

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title = "Microscopic model of Purcell enhancement in hyperbolic metamaterials",

abstract = "We study theoretically the dramatic enhancement of spontaneous emission in metamaterials with the hyperbolic dispersion modeled as a cubic lattice of anisotropic resonant dipoles. We analyze the dependence of the Purcell factor on the source position in the lattice unit cell and demonstrate that the optimal emitter positions needed to achieve large Purcell factors and Lamb shifts are in the local field maxima. We show that the calculated Green function has a characteristic crosslike shape, spatially modulated due to the structural discreteness. Our basic microscopic theory provides fundamental insights into the rapidly developing field of hyperbolic metamaterials.",

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AU - Belov, Pavel A.

AU - Ginzburg, Pavel

AU - Zayats, Anatoly V.

AU - Kivshar, Yuri S.

PY - 2012/7/30

Y1 - 2012/7/30

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AB - We study theoretically the dramatic enhancement of spontaneous emission in metamaterials with the hyperbolic dispersion modeled as a cubic lattice of anisotropic resonant dipoles. We analyze the dependence of the Purcell factor on the source position in the lattice unit cell and demonstrate that the optimal emitter positions needed to achieve large Purcell factors and Lamb shifts are in the local field maxima. We show that the calculated Green function has a characteristic crosslike shape, spatially modulated due to the structural discreteness. Our basic microscopic theory provides fundamental insights into the rapidly developing field of hyperbolic metamaterials.

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M3 - Article

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JO - Physical Review B - Condensed Matter and Materials Physics

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ER -

Microscopic model of Purcell enhancement in hyperbolic metamaterials

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