Energy distribution in a quartz resonator

We present a theoretical analysis of the acoustical energy distribution in a surface acoustic wave (SAW) test resonator on the 34/spl deg/ cut of quartz. To calculate the energy density at each point for a known voltage, we chose a combination of three different methods: a P-Matrix algorithm for the longitudinal direction, a Stack-Matrix formalism across the aperture of the resonator and a Partial Wave Method normal to the substrate surface. We determined the distribution of energy in all three dimensions and located the peak stress at the metallization-vacuum interface.