Surface acoustic wave analyses in finite solids are of practical importance in surface acoustic wave (SAW) resonator design, but analytical solutions based on a two-dimensional theory similar to the bulk acoustic waves for finite plates are only obtained recently. By including the familiar interdigital transducers as typical electrodes of SAW resonators, the two-dimensional equations are further modified through the expansion parameters particular to the approximate theory. Then electrodes and the finite substrate are considered as a periodic structure requiring the coupled two-dimensional differential equations satisfying related boundary conditions. Equations and solutions of a typical SAW resonator model are obtained with a general procedure for the periodic problem with a numerical example, and applications of the equations and results are discussed.
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