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1-order acoustic field acoustic waves analysis anisotropic antisymmetric applied approximation assumed axis Bragg calculated Chapter circuit components crystal delay line derived dispersion curves dispersion relation Elastic electrical boundary conditions electrodes electromagnetic element evaluated Example field distributions field equations FIGURE free boundary group velocity guided wave impedance incident wave integral isotropic isotropic plate Lamb waves lithium niobate longitudinal longitudinal wave Love wave matrix medium method nonpiezoelectric normal obtained overlay parameters partial waves particle velocity field Phys plane wave plate resonator potential propagation direction quasishear Rayleigh wave reciprocity relation reflected wave reflection coefficients S-parameter satisfy scattered waves Section SH modes shear wave Snell's Law space harmonic standing wave stopband stress stress-free boundary conditions strip substrate surface surface wave symmetry thickness transducer transmission line transverse resonance trial functions unperturbed Vibrations Volume wave amplitudes wave propagation wave solutions wave vector wave velocity waveguide modes y-cut zero