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

    107 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 languageEnglish
    Article number035148
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume86
    Issue number3
    DOIs
    Publication statusPublished - 30 Jul 2012

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