Compact Waveguide and Guided Beam Pattern Based on the Whispering-Gallery Mode of a Hollow Pillar in a Phononic Crystal Plate

Yuan, Weitao; Zhao, Jinfeng; Bonello, Bernard; Djafari‐Rouhani, Bahram; Zhang, Xiaoqing; Pan, Yongdong; Zhong, Zheng

doi:10.1103/physrevapplied.10.034010

Cited by 8 publications

(3 citation statements)

References 32 publications

(64 reference statements)

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“…(II) Waveguides, defect states, and filtering applications. If the travelling frequencies are located within a Bragg or a hybridization band gap of the background pillared structures, waveguides may be constructed consisting of different sizes of pillars or line-or curved-shape defects [59,78,81,[116][117][118][119][120][121][122][123][124][125][126][127]. Such design interventions can produce localized modes inside the Bragg or hybridization band gaps of the phononic crystal, hence allowing the propagation of confined modes in the waveguide.…”

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confidence: 99%

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

et al. 2021

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The introduction of engineered resonance phenomena on surfaces has opened a new frontier in surface science and technology. Pillared phononic crystals, metamaterials, and metasurfaces are an emerging class of artificial structured materials, featuring surfaces, that consist of pillars-or branching substructures-standing on a substrate or a plate. A pillared phononic crystal exhibits Bragg band gaps while a pillared metamaterial may feature both Bragg gaps and local-resonance hybridization gaps. These two band-gap phenomena, along with other unique wave dispersion characteristics, have been exploited for a variety of applications spanning a range of length scales and covering multipe disciplines in applied physics and engineering. The placement of pillars on a semi-infinite surface has similarly provided new avenues for the control and manipulation of wave propagation, including Rayleigh and Love waves along the surface of substrates, as well as Lamb waves in plates-for frequencies ranging from Hz to several GHz. Even a finite placement of pillars along specific directions on a surface has been shown to offer unique functionality, such as steering a wavefront in the subwavelength regime. At the nanoscale, pillared membranes have been investigated and it was shown that atomic-scale resonances-stemming from the nanopillars-alter the fundamental nature of conductive thermal transport by reducing the group velocities and generating mode localization across the entire spectrum well into the THz regime. In this article, we first overview the history and development of pillared materials, then provide a detailed synopsis of a selection of key research topics that involve the utilization of pillars in different contexts. The following sections present a review of different configurations, properties, and 2 characteristics, namely: (i) fundamental vibrational and propagation properties of pillared plates; (ii) metamaterial phenomena in pillared plates including the opening of low and wide hybridization band gaps as well as super-resolution focusing; (iii) pillared metasurfaces and their wave steering functions;(iv) topologically protected phononic edge states in pillared plates; and (v) nanophononic metamaterials in the form of pillared membranes exhibiting exceptionally low in-plane thermal conductivity. Finally, we conclude by providing a short summary on the salient properties of pillared materials and structures and outlining some perspectives on the state of the field and its promise for further future development.

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Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

et al. 2021

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“…(Fig. 2(c)) cannot be observed in this simulation [17]. Also, the spot can be well understood since the underlying mechanism, i.e., upon the excitation of the quadrupolar WGM 1, the hollow pillar shall reemit a quadrupole A 0 mode along both the x and y axes in the rear of the waveguide as shown in Fig.…”

Section: Introductionmentioning

confidence: 83%

“…Another approach to construct waveguides is using resonators as defects [14][15][16][17][18]. Yuan et al [17] show the experimental evidence that replacing one row of solid pillars with hollow pillars in an otherwise perfect PCs gave rise to high quality factor waveguides owing to the whispering-gallery modes (WGMs) in the hollow pillars. In the acoustic filed, although WGMs feature the manifold polarization symmetries, including the quadrupolar, hexapolar, and octopolar symmetries, only one type of quadrupolar WGMs is generated.…”

Section: Introductionmentioning

confidence: 99%

Waveguide for Lamb Waves Based on Whispering-Gallery Mode

Yuan¹,

Zhao²,

Zhong³

et al. 2018

2018 IEEE International Ultrasonics Symposium (IUS)

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We proposed three kinds of waveguides namely straight waveguide, Z-shaped waveguide and Pi-shaped waveguide in an otherwise perfect phononic crystal. We analyzed numerically the transmissivity and the displacement field distribution behind the waveguides. We demonstrated that these three waveguides are efficient for guiding the lowest-order antisymmetric Lamb mode (A 0), based on the whispering-gallery modes in the hollow pillars that comprise the route line. Our approach provides a simple method to design sophisticated waveguides.

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Multi-branch subwavelength focusing of the lowest-order antisymmetric Lamb mode in a gradient-index phononic crystal

Cui

Zhao

Boyko

et al. 2019

International Journal of Mechanical Sciences

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Compact Waveguide and Guided Beam Pattern Based on the Whispering-Gallery Mode of a Hollow Pillar in a Phononic Crystal Plate

Cited by 8 publications

References 32 publications

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces

Waveguide for Lamb Waves Based on Whispering-Gallery Mode

Multi-branch subwavelength focusing of the lowest-order antisymmetric Lamb mode in a gradient-index phononic crystal

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