title: Hamiltonian Optics of Hyperbolic Polaritons in Nanogranules.
abstract: 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.
authors.affiliation: †Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, United States.
authors.forename: Zhiyuan
authors.initials: Z
authors.lastname: Sun
authors.affiliation: ‡Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, E-28049 Madrid, Spain.
authors.forename: Á
authors.initials: Á
authors.lastname: Gutiérrez-Rubio
authors.affiliation: †Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, United States.
authors.forename: D N
authors.initials: DN
authors.lastname: Basov
authors.affiliation: †Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, United States.
authors.forename: M M
authors.initials: MM
authors.lastname: Fogler
keywords: Hyperbolic materials; Purcell’s factor; boron nitride; nanoresonator; polariton; semiclassical quantization