声波传播:二维维格纳和三维波前模拟

J. Salo, K. Bjorknas, J. Fagerholm, A. Friberg, M.M. Salmaa
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引用次数: 4

摘要

最近,我们应用了一种基于角谱的方法——薄单元分解(TED)来计算声SAW在波导结构中的传播。然而,角度光谱不允许在波导中反射,这导致了长条带的差异。这导致我们使用维格纳分布函数来描述声表面波在近轴极限的传播。这种方法导致了一种快速且易于实现的光线跟踪类型算法。我们计算了波在波导中的传播,并将结果与经典导模理论的结果进行了比较。我们还讨论了维格纳分布函数在锐边界附近的行为。我们还模拟了由块体中的点扰动产生的扩展声波前。由于固体的弹性各向异性,与平面波相关的能量通量与波矢量不共线,相应地,波前(对应于群速度面)不是球形的。
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Acoustic wave propagation: 2D Wigner and 3D wavefront simulations
Recently, we have applied an angular-spectrum based method, the thin-element decomposition (TED), to calculate SAW propagation in waveguide structures. However, the angular spectrum does not allow for reflections in the waveguide, which leads to discrepancies for long strips. This has lead us to use the Wigner-distribution function to describe the propagation of SAW in the paraxial limit. This approach leads to a ray-tracing type algorithm which is fast and easy to implement. We calculate wave propagation in a waveguide and compare the results to those given by the classical guided mode theory. We also discus the behaviour of Wigner distribution functions near sharp boundaries. We have also simulated expanding acoustic wavefronts produced by a point disturbance in a bulk. Due to elastic anisotropy of the solid, the energy flux associated with a plane wave is not collinear with the wave vector and, correspondingly, wave fronts (which correspond to the group-velocity surfaces) are not spherical.
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