Phonon and heat transport control using pillar-based phononic crystals

Figures & data

Figure 1. Phonon dispersion of a pillar-based PnC (solid lines), a silicon membrane (dashed lines), and resonant frequencies of a pillar (horizontal dash-dotted lines). The color of the branches shows the physical location of the modes (ξ). Details of the simulated structure can be found in Ref [30].

Figure 2. (a) Schematic of the sample used by Achaoui et al. [36] to study the phonon transmission through an array of nickel pillars of 6.4 µm in diameter and 4.7 µm in height. (b) Transmittance spectrum shows a phononic bandgap. (c) The out-of-plane displacement map shows the reflection of 170 MHz phonons from the PnC region. Reprinted figure with permission from [36]. Copyright 2018 by the American physical Society.

Figure 3. (a) Lithium niobate pillar-based PnC with pillars of 240 nm in diameter and 225 nm in height [49]. (b) Phonon dispersion of a PnC measured using Brillouin light scattering technique. The experimental data (black dots) agree with the result of the FEM simulations (small blue dots). Reprinted figure with permission from [49]. Copyright 2018 by the American Physical Society.

Figure 4. Example of a molecular dynamics model of a pillar-based PnC and the dependence of the thermal conductivity normalized by that of a membrane on the pillar height (t) found in Refs [33,34,55,58].

Figure 5. (a) Relative heat capacity of bulk silicon samples with pillars on the surface measured by Iskandar et al. [62] at room temperature. The inset shows one of the samples (the shape and size are different for every sample). Reprinted from [62], with the permission of AIP Publishing. (b) The thermal conductivity of the nanobeams with pillars of different diameters measured by Anufriev et al. [63] at room temperature. The inset shows the fragment of the nanobeam and transmission electron microscopy image of the pillar/beam interface featuring surface roughness.

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