Quantum 1/f effect in LiNbO3 crystals

The quantum 1/f theory is applied to surface acoustic wave (SAW) LiNbO(3) resonators. The theory has so far been applied only to quartz resonators. Here we are first considering the case in which the phonons are coherent throughout the resonator volume. Then the quantum 1/f theory is applied to the general case of an arbitrary coherence length of the phonons, which may be large or small compared with the size of the resonator. This yields a 1/N factor in the expression of the power spectral density of resonance frequency fluctuations. The theory is further extended to include defect scattering along with the phonon scattering case exclusively considereded so far.