Fig. 2 Imaging resonant modes with s-SNOM.

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Fig. 2 Imaging resonant modes with s-SNOM. Imaging resonant modes with s-SNOM. (A) Simplified schematic of the s-SNOM setup. The sample is illuminated by a QCL continuous-wave laser through a Michelson interferometer. An AFM tip is tapping on the sample and scatters back light, modulating it with its tapping frequency. A moving mirror, oscillating with the same frequency of the tip, is used to demodulate (pseudoheterodyne demodulation) phase and amplitude of the scattered field (that is, the complex amplitude). Images are obtained by scanning the sample (tip and laser are left in the same position). (B) The measured amplitude is the superposition of several contributions, listed here, each associated to a possible path of the photon in the tip-sample system. The modulated scattering contribution is very small here and can be neglected. (C) Procedure to separate the three contributions. First, the material contribution is measured in the center of the disc (where the Ez field of the mode is null) and on the substrate far from the disc. The two values are assigned respectively inside and outside the disc using the topography to determine the edges of the disc. Then, the material contribution is subtracted from the image. The resulting polaritonic field is the superposition of the direct and round-trip components. For bright modes, they can be separated, noting that the round-trip is even with respect to the symmetry axis of the mode, while the direct is odd. For dark modes, the direct contribution vanishes by definition. (D) Example of separation of contributions for the fundamental mode (1425 cm−1) of a disc with diameter D = 730 nm, using the first pseudoheterodyne harmonic. (E) Same as (D) for the second harmonic. (F) A higher-order mode (n = 2, s = 1, 1527 cm−1) using the second harmonic. Note that the direct coupling is nonzero only for bright modes (that is, only for s = 1). Michele Tamagnone et al. Sci Adv 2018;4:eaat7189 Copyright © 2018 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).