Purcell effect in wire metamaterials
Alexander N. Poddubny, Pavel A. Belov, and Yuri S. Kivshar

TL;DR
This paper theoretically investigates how wire metamaterials can enhance spontaneous emission, analyzing the Purcell factor's dependence on dielectric properties and providing formulas and estimates for practical structures.
Contribution
It introduces analytical expressions for the Purcell factor in wire metamaterials and identifies optimal dielectric constants for emission enhancement.
Findings
Optimal dielectric constant for maximum Purcell factor identified.
Analytical formulas for Purcell factor derived.
Estimates provided for microwave and optical regimes.
Abstract
We study theoretically the enhancement of spontaneous emission in wire metamaterials. We analyze the dependence of the Purcell factor dependence on wire dielectric constant for both electric and magnetic dipole sources, and find an optimal value of the dielectric constant for maximizing the Purcell factor for the electric dipole. We obtain analytical expressions for the Purcell factor and also provide estimates for the Purcell factor in realistic structures operating in both microwave and optical spectral range.
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