TY - JOUR
T1 - Microscopic model of Purcell enhancement in hyperbolic metamaterials
AU - Poddubny, Alexander N.
AU - Belov, Pavel A.
AU - Ginzburg, Pavel
AU - Zayats, Anatoly V.
AU - Kivshar, Yuri S.
PY - 2012/7/30
Y1 - 2012/7/30
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84864619184&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.86.035148
DO - 10.1103/PhysRevB.86.035148
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AN - SCOPUS:84864619184
SN - 1098-0121
VL - 86
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 3
M1 - 035148
ER -