Abstract :
Dispersion curves, coupling constants, surface displacements, and displacement profiles are numerically calculated for acoustic plate modes, propagating in fused and Y-rotated, X-cut quartz with thickness h/lambda in the range 0 - 4.5 (h, thickness, lambda, wavelength). Four Anisimkin Jr.´ modes with velocity vnmiddot close to that of longitudinal bulk wave vL and dominant longitudinal displacement u1 distributed uniformly through the plate thickness are found in the crystal with cut angles mu = 120deg-140deg and plate thickness h/lambda = 0 - 0.36, 0.94 - 1.78, 2.32 - 3.08, and 3.64 - 4.44. Velocities vn are varied within plusmn 0.5 %. The coupling constants Kn 2 decrease with mode order n and h/lambda, approaching maximum 0.475 % for n = 0 at h/lambda = 0.2. The same modes in fused quartz are not found, except in a narrow region near zero thickness.
Keywords :
acoustic dispersion; plates (structures); quartz; structural acoustics; Anisimkin Jr.´ modes; SiO2; acoustic plate modes; coupling constants; dispersion curves; displacement profiles; fused quartz; quartz plates; surface displacement; Acoustic propagation; Acoustic sensors; Acoustic waves; Anisotropic magnetoresistance; Crystalline materials; Polarization; Software; Solids; Surface acoustic waves; Surface waves;
