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(a) Numerical transmission spectra at normal incidence through a water-immersed rigid plate perforated with a square array of circular holes, where the solid and dashed lines represent the results for the systems with and without polyethylene inclusions, respectively. Here, we use the dimensionless frequency , with being the wavelength in water. (b) Transmission spectra at different incident angles.
(a) Top and side views of the displacement field distributions around the sample with polyethylene inclusions, incident normally by a plane wave at the resonant frequency, where the color scale and the arrow indicate the amplitude and direction of the vibration, respectively. (b) Numerical transmission spectrum for a Gaussian beam launched upon a plate of finite size, where a single hole is perforated and filled with polyethylene inclusion. Here the inset displays a side view of the field distribution at the resonant frequency.
Dependences of the resonant frequencies on the geometric parameters of the polyethylene inclusion, with (a) and (b) for the sample thickness and the hole radius, respectively. (c) Dependences of the resonant frequencies on the relative material parameters ( ) with respect to those of polyethylene. In all cases, we change only one parameter but fix the others.
(a) The experimental (solid line) and numerical (dashed line) transmission spectra at normal incidence through a water-immersed brass plate embedded with a square array of epoxy inclusions (see the inset), together with the spectrum (dotted line) for a similar structure but made of a rigid plate. (b) Similar to (a), but with the absorption of epoxy considered in the calculation.
Material parameters: density , longitudinal velocity and transversal velocity .
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