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Download fileSemianalytical Model for Design and Analysis of Grating-Assisted Radiation Emission of Quantum Emitters in Hyperbolic Metamaterials
journal contribution
posted on 26.04.2018, 00:00 authored by Achiles
F. da Mota, Augusto Martins, Heidi Ottevaere, Wendy Meulebroeck, Emiliano R. Martins, John Weiner, Fernando L. Teixeira, Ben-Hur V. BorgesWe
propose a semianalytical method to model, in both two and three
dimensions (2D and 3D, respectively), the radiation emission of quantum
emitters (QEs) interacting with nanopatterned structures. We then
investigate the emission from QEs near a hyperbolic metamaterial (HMM)
with a metallic cylindrical grating on its top and a poly(methyl methacrylate)
substrate embedded with QEs on its bottom. The optimization of the
cylindrical grating is carried out first using a 2D model (due to
its low computational cost), followed by a performance study based
on a 3D model. We show that an appropriate choice of grating parameters
(period, height, and fill factor) allows not only the control of the
QE emission direction but also the increase of both the Purcell factor
and the total power coupled from the HMM into free space. In addition,
the proposed method provides a detailed mapping of both the Purcell
factor and the radiated power as a function of position, enabling
us to understand how the QE location affects its behavior. Furthermore,
we demonstrate that the QEs with the highest Purcell factor (viz.,
perpendicularly polarized ones) contribute more to the power radiated
into the far field than previously expected. We also show that, in
addition to a high Purcell factor of about 145, perpendicularly polarized
QEs radiate up to 2 times more power if placed 10 nm from the HMM
as they would in free space.