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Use of a Modal Model in Predicting Propagation from a Point Source Over Grooved Ground
The Quarterly Journal of Mechanics and Applied Mathematics ( IF 0.9 ) Pub Date : 2021-02-02 , DOI: 10.1093/qjmam/hbaa018
Steve Mellish 1 , Shahram Taherzadeh 1 , Keith Attenborough 1
Affiliation  

Summary
Regularly spaced low walls and rectangular lattices on a hard ground have been investigated as a means for reducing noise levels from surface transport. Predictions of the insertion loss of such surfaces has involved the use of computationally intensive numerical methods such as the Boundary Element Method (BEM) or Finite difference techniques (FDTD and PSTD). By considering point-to-point propagation above regularly spaced acoustically hard grooves with rectangular cross sections, a modal model used hitherto to predict electromagnetic and ultrasonic surface waves is adapted to derive an effective impedance for such a grooved surface. When this effective impedance is used in the classical theory for propagation from a point source above an impedance plane, the modal model enables predictions of excess attenuation spectra that compare closely with those obtained by numerical methods but take a fraction of the time. Also the modal method is extended to predict excess attenuation spectra above phase gradient metasurfaces with porous material in each constituent groove.


中文翻译:

模态模型在预测点源在沟槽地面上的传播中的应用

概要
已经研究了在坚硬地面上以规则间隔布置的低墙和矩形格子,作为减少表面运输产生的噪音的一种方法。对此类表面的插入损耗的预测涉及到使用计算密集型数值方法,例如边界元方法(BEM)或有限差分技术(FDTD和PSTD)。通过考虑在具有矩形横截面的规则间隔的声学硬槽上方的点对点传播,迄今用于预测电磁和超声波表面波的模态模型适用于推导此类槽表面的有效阻抗。当经典理论中使用此有效阻抗从阻抗平面上方的点源传播时,模态模型可以预测与通过数值方法获得的衰减谱相比非常接近的过量衰减谱,但只需要花费一小部分时间。同样,模态方法被扩展以预测在每个组成凹槽中具有多孔材料的相位梯度超表面之上的过量衰减谱。
更新日期:2021-02-07
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