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 journalArticlepeer-review

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 languageEnglish
Article number035148
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume86
Issue number3
DOIs
StatePublished - 30 Jul 2012
Externally publishedYes

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