Continuous Representation of the Mode Shape in Acoustic Surface Wave Resonators

摘要

The usual representation of the mode shape along the transmission path in acoustic surface wave resonators is determined by cascading a transmission matrix over a large number of reflectors. This representation is extremely cumbersome to use in perturbation integrals that arise in the calculation of the change in resonant frequency due to biasing states. Consequently, a continuous representation of the mode shape along the transmission path is obtained from the solution of the linear difference system of transmission equations for the periodic array. Although the procedure was developed for surface weave resonators subject to biases, it applies to any cascaded transmission matrix with small impedance discontinuity. Consequently, it may be useful in the design of reflecting arrays for surface wave resonators. (Reprints)