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Dipole modelling for a robust description of subdiffractional polariton waves


The nanophotonics of van der Walls (vdW) materials relies critically on the electromagnetic properties of polaritons defined on sub-diffraction length scales. Here, we use a full electromagnetic Hertzian dipole antenna (HDA) model to describe the hyperbolic phonon polaritons (HP2) in vdW crystals of hexagonal boron nitride (hBN) on a gold surface. The HP2 waves are investigated by broadband synchrotron infrared nanospectroscopy (SINS) which covers the type I and type II hyperbolic bands simultaneously. Basically, polariton waves, observed by SINS, are assigned to the resultant electric field from the summation over the irradiated electric field of dipoles distributed along the crystal edge and at the tip location and a non-propagating field. The values of polariton momenta and damping extracted from the HDA model present excellent agreement with theoretical predictions. Our analysis shows that the confinement factor of type I HP2’s exceeds that of type II ones by up to a factor of 3. We extract anti-parallel group velocities (v_g) for type I (v_(g,typeI)=-0.005c,c is the light velocity in vacuum) in relation to type II (v_(g,typeII)=0.05c) polaritonic pulses, with lifetimes of ~0.6 ps and ~0.3 ps, respectively. Further, by incorporating consolidated optical-near field theory into the HDA model, we simulate real-space images of polaritonic standing waves for hBN crystals of different shapes. This approach reproduces the experiments with minimal computational cost. Thus, it is demonstrated that the HDA modelling self-consistently explains the measured complex-valued polariton near-field, while being a general approach applicable to other polariton types, like plasmon- and exciton-polaritons, active in the wide range of vdW materials.

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Publication details

The article was received on 27 Aug 2019, accepted on 07 Oct 2019 and first published on 07 Oct 2019

Article type: Paper
DOI: 10.1039/C9NR07387F
Nanoscale, 2019, Accepted Manuscript

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    Dipole modelling for a robust description of subdiffractional polariton waves

    F. H. Feres, I. Barcelos, R. Mayer, T. M. Miguel, R. D. O. Freitas, M. B. Raschke, D. A. Bahamon and F. C. Barbosa Maia, Nanoscale, 2019, Accepted Manuscript , DOI: 10.1039/C9NR07387F

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