Band gap and defect state engineering in a multi-stub phononic crystal plate

Jiang, Ping; Wang, Xiaopeng; Chen, Tianning; Zhu, Jian

doi:10.1063/1.4917565

Cited by 38 publications

(10 citation statements)

References 41 publications

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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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confidence: 99%

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

et al. 2021

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“…5(b). In comparison to previous cavity designs reported in the literature and using similar calculation method [5,14,16], the proposed structure enables to achieve the much higher Q factor with minimal phononic crystal size.…”

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confidence: 93%

“…The acoustic energy with frequencies in the band gaps may be localized in the defect and therefore the propagation can be engineered. In the case of locally resonant structural unit cells, the phononic crystals can exhibit band-gaps with a lattice constant smaller than the relevant wavelength [8][9][10][11][13][14][15][16]. The eigen-frequencies of the localized modes generally depend on the precise geometrical properties (such as size or shape) and the composition of the supporting structure.…”

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confidence: 99%

“…The eigen-frequencies of the localized modes generally depend on the precise geometrical properties (such as size or shape) and the composition of the supporting structure. Many authors have studied the defect states in such phononic crystals and demonstrated their usefulness as waveguides, filters, and cavity modes [14][15][16]. In this study, we introduce a new design of cavity resonator design based on 1D phononic crystal structure.…”

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Acoustic isolation of disc‐shaped modes using periodic corrugated plate‐based phononic crystal

et al. 2018

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The properties of highly confined and isolated surface modes in a phononic crystal based on a stripped membrane combined with discshaped thin films deposited on the micro-strip surface is investigated. The structure is made of an aluminium nitride (AlN) thin film membrane and gold (Au) for the disc-shaped thin film. These materials are chosen owing to the strong contrast in their elastic and density properties and to their compatibility with electroacoustic devices technology. An optimal choice of the geometrical parameters of the membrane and the grooves enables the obtaining of wide stop-band frequencies. The introduction of disc-shaped thin films on the grooved surface enables the introduction of nearly flat modes within the band gap and consequently paves the way to implement advanced design of electroacoustic filters and high-performance cavity resonators.

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“…Therefore, line defects can be used in efficient waveguides, while curved or bifurcation defects can be applied in waveguides or filters. 7 Jiang 8 formed point defects and line defects in the 2D local resonant phononic crystal, respectively. For point defects, the displacement field of the defect state was concentrated near the point defect, thus producing a defect cavity with local resonance.…”

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confidence: 99%

Characteristics of defect states in periodic railway track structure

Yan

Zhao

Wang

2021

Journal of Low Frequency Noise, Vibration and Active Control

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To overcome the ill-conditioned matrix problem of the traditional transfer matrix method, the Floquet transform method and supercell technology are used to study the defect states of the periodic track structure. By solving the equations of the supercell directly, the propagation characteristics of elastic waves in the track structure with defects are analyzed. The existence of defects destroys the periodicity of track structure, thus resulting in the formation of defect states within the band gaps. Moreover, the elastic wave is localized near the defect position at the frequency of the defect state. The formation mechanism of the defect state in track structure can be explained by the local resonance at the defect. With the expansion of the defect range, the number of local resonance modes that can be formed near the defect increases, thus generating multiple defect states. Furthermore, the defect state enhances the vibration of the structure adjacent to the defect. Therefore, the vibration transmission coefficient in a finite-length range can be used to detect the defect characteristics in the track structure, and the defect degree can be evaluated by the peak frequency of the vibration transmission coefficient within the band gap.

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Band gap and defect state engineering in a multi-stub phononic crystal plate

Abstract: Lamb wave band gaps in a homogenous plate with periodic tapered surface

Cited by 38 publications

References 41 publications

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

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

Acoustic isolation of disc‐shaped modes using periodic corrugated plate‐based phononic crystal

Characteristics of defect states in periodic railway track structure

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