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Simulation of SAW waveguiding on substrates with asymmetric slowness and excitation

机译:具有非对称慢度和激励的基底上声表面波波导的仿真

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The 2D P-matrix method is extended to deal with SAWsubstrates with general slowness and excitation, asymmetric to main propagation direction. As described previously for general slownesses, which cannot be treated with the parabolic approximation, the problem of non-orthogonal transversal modes arises, which is treated by projection to adjoint modes . In the symmetric case modes were determined by demanding continuity of the mode and its derivative. In the asymmetric case this leads to the problem of diverging integrals of degenerate radiation modes. As a result radiation modes cannot be normalized. It is shown that by demanding continuity of the transversal power flow this problem can be solved. At the example of a resonator on lithium tantalate (YXl)/112.2 the validity of the new method is demonstrated. Another problem is the asymmetric propagation angle dependence of the phase between excitation and reflection, the directivity angle. By introducing an anisotropic phase shift into the transversal k-space excitation profile this effect is taken into account. At the example of a resonator on Quartz (YXl)/34.0 a good agreement with measurement is obtained.
机译:扩展了二维P矩阵方法,以处理具有一般慢度和激励,且与主传播方向不对称的SAW衬底。如前所述,对于一般的慢度,不能用抛物线近似来处理,出现了非正交的横向模态的问题,这可以通过投影到伴随模态来解决。在对称情况下,通过要求模式及其导数的连续性来确定模式。在非对称情况下,这导致退化辐射模式的积分发散的问题。结果,辐射模式无法归一化。结果表明,通过要求横向功率流的连续性,可以解决这个问题。在钽酸锂(YXl)/112.2上的谐振器示例中,证明了新方法的有效性。另一个问题是激发和反射之间的相位,方向角的不对称传播角度依赖性。通过将各向异性相移引入到横向k空间激发轮廓中,可以考虑这种影响。在石英(YXl)/34.0上的谐振器示例中,获得了与测量的良好一致性。

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