Nanopatterned hyperbolic metamaterials (NPHMs) have proven to be efficient structures for enhancing the spontaneous emission rate () and quantum efficiency () of quantum emitters (QEs). However, many of the NPHM designs still rely on computationally costly 3D numerical simulations. In this context, we propose a fast, semianalytical method capable of calculating both and of QEs placed inside a medium bounded by nanopatterned structures. The low computational cost of our approach makes it attractive for optimizing the NPHMs’ geometrical parameters that maximize for a desired . Furthermore, we suggest a more realistic procedure to calculate the decay behavior of multiple QEs arbitrarily distributed in the NPHM. This calculation is only feasible with the knowledge of and mapped for all possible positions of the QEs, which is easily achieved with the proposed model. For the validation procedure, we compare the model results with those obtained by the FDTD method. We apply the proposed model to an NPHM composed of nine layers, with the polymer host layer embedded with rhodamine 6G, to maximize for a specified tenfold increase of . This procedure allowed to be increased by 69% and 170% for 1D and 2D nanopatterning, respectively. The time required to build the and maps (used in the calculation of the decay behavior) is reduced by approximately 96% when compared with those numerically calculated via FDTD.
© 2019 Optical Society of AmericaFull Article | PDF Article
23 April 2019: A correction was made to the supplementary material.
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