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Nano Lett. 2015 Jul 8;15(7):4455-60. doi: 10.1021/acs.nanolett.5b00814. Epub 2015 Jun 22.

Hamiltonian Optics of Hyperbolic Polaritons in Nanogranules.

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†Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, United States.
‡Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, E-28049 Madrid, Spain.


Semiclassical quantization rules and numerical calculations are applied to study polariton modes of materials whose permittivity tensor has principal values of opposite sign (so-called hyperbolic materials). The spectra of volume- and surface-confined polaritons are computed for spheroidal nanogranules of hexagonal boron nitride, a natural hyperbolic crystal. The field distribution created by polaritons excited by an external dipole source is predicted to exhibit raylike patterns due to classical periodic orbits. Near-field infrared imaging and Purcell-factor measurements are suggested to test these predictions.


Hyperbolic materials; Purcell’s factor; boron nitride; nanoresonator; polariton; semiclassical quantization

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