Hamiltonian optics of hyperbolic polaritons in nanogranules

TL;DR

This paper applies semiclassical quantization and numerical methods to analyze hyperbolic polariton modes in nanogranules, revealing ray-like field patterns and proposing experimental tests with near-field imaging.

Contribution

It introduces a Hamiltonian optics framework for hyperbolic polaritons in nanogranules, combining classical and quantum approaches to predict mode spectra and field distributions.

Findings

Computed polariton spectra in hexagonal boron nitride nanogranules.

Predicted ray-like field patterns due to classical periodic orbits.

Suggested near-field imaging experiments to verify predictions.

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 ray-like patterns due to classical periodic orbits. Near-field infrared imaging and Purcell-factor measurements are suggested to test these predictions.