Collet Bernard, Destrade Michel
Laboratoire de Modélisation en mécanique, Université Pierre et Marie Curie, Paris, France.
IEEE Trans Ultrason Ferroelectr Freq Control. 2006 Nov;53(11):2132-9. doi: 10.1109/tuffc.2006.153.
Consider a layer consisting of a m3m dielectric crystal, with faces cut parallel to a symmetry plane. Then bond it onto a semi-infinite mm2 piezoelectric substrate. For a X- or Y-cut of the substrate, a Love wave can propagate in the resulting structure and the corresponding dispersion equation is derived analytically. It turns out that when the upper (free) face of the layer is metalized, a fully explicit treatment can also be conducted in the case of a Y-cut rotated about Z. In the case of a germanium layer over a potassium niobate substrate, the wave exists at any wavelength for X-and Y-cuts but this ceases to be the case for rotated cuts, with the appearance of forbidden ranges. By playing on the cut angle, the Love wave can be made to travel faster than, or slower than, or at the same speed as, the shear bulk wave of the layer. A by-product of the analysis is the derivation of the explicit secular equation for the Bleustein-Gulyaev wave in the substrate alone, which corresponds to an asymptotic behavior of the Love wave. The results are valid for other choices for the layer and for the substrate, provided they have the same, or more, symmetries.
考虑一个由m3m介电晶体组成的层，其面平行于一个对称面切割。然后将其粘结到一个半无限大的mm2压电基片上。对于基片的X切割或Y切割，洛夫波可以在所得结构中传播，并且相应的色散方程可以通过解析方法推导出来。结果表明，当层的上（自由）面金属化时，对于绕Z轴旋转的Y切割情况，也可以进行完全明确的处理。在铌酸钾基片上的锗层的情况下，对于X切割和Y切割，波在任何波长下都存在，但对于旋转切割情况则不再如此，会出现禁带范围。通过调整切割角度，可以使洛夫波的传播速度比层的剪切体波快、慢或相同。该分析的一个副产品是单独推导了基片中布吕斯泰因 - 古利亚耶夫波的显式久期方程，它对应于洛夫波的一种渐近行为。只要层和基片具有相同或更多的对称性，这些结果对于层和基片的其他选择也是有效的。
