Transmission properties of locally resonant sonic materials with finite slab thickness
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Kin Hung Fung
Abstract
Using multiple-scattering theory, we studied the transmission properties of a slab of composite material that have sonic band gaps due to local resonances. Thin slabs of such material have transmission properties that are apparently different from conventional band gap material. For example, there can be transmission peaks in the frequency range inside the bulk sonic band gap. If the slab thickness is changed, we found that the top of band gap shifts while the bottom of band gap, being pinned by the resonance frequency, does not. By changing the slab thickness, the “effective band gap” may be narrowed or broadened, depending on the filling fraction of the locally resonant units. In order to provide an intuitive understanding of the phenomena, we constructed a simple model to understand the phenomena by comparing its transmission and band structure with that of the locally resonant sonic materials.
© by Oldenbourg Wissenschaftsverlag, München
Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
Articles in the same Issue
- Editorial: Phononic Crystals – Sonic Band-Gap Materials
- Classical wave localization and spectral gap materials
- Classical vibrational modes in phononic lattices: theory and experiment
- Scanning phononic lattices with surface acoustic waves
- Acoustic band gap measurements in waveguides with periodic resonant structures
- Experimental observation of resonant filtering in a two-dimensional phononic crystal waveguide
- Experimental study of guiding and filtering of acoustic waves in a two dimensional ultrasonic crystal
- Surface acoustic wave band gaps in micro-machined air/silicon phononic structures — theoretical calculation and experiment
- The layer multiple-scattering method applied to phononic crystals
- Tunneling and dispersion in 3D phononic crystals
- Transmission properties of locally resonant sonic materials with finite slab thickness
- Large enhancement of phononic gap in periodic and quasiperiodic elastic composites by using air inclusions
- Sound propagation in the time-domain by the Split-Operator technique
- Inverse design of phononic crystals by topology optimization
- Elastic waves in arrays of elliptic inclusions
- Books Received
