Generalized Discrete Model of Systems with Distributed Feedback Based on Surface Acoustic Waves

Abstract

We have developed a self-consistent physical model that improves the accuracy of calculating the characteristics of the devices based on both surface and pseudosurface acoustic waves. The model is free from restrictions inherent in the well-known method of coupled modes and other phenomenological methods for studying distributed systems. The compact relationships describing all the characteristics of the acoustoelectric transducers of all types with allowance for the possible directionality of their radiation and its propagation loss are obtained using analytical solution of the difference equations. The method for determining the spatial orientation of the elastic-polarization ellipse in an anisotropic crystal, which allows one to unambiguously calculate the phase shift between the oscillations of two coupled dynamical subsystems, i.e., elastic displacements and the corresponding electric field, is proposed. The obtained results, which considerably facilitate the task of fast and accurate design of various devices on the basis of surface and pseudosurface acoustic waves, are valid in the general case for any frequency, including the harmonics of the frequency of the fundamental acoustic synchronism.