Charge distribution and capacitance calculation for generalized periodic SAW transducers using Floquet's technique

摘要

Analytic formulae for the charge density, total charges on the electrodes, and static capacitance of the generalized periodic SAW transducers are derived in the paper using the basic analytic solution for a periodic phased array transducer. Static capacitance is determined by summation of the weighted interelectrode capacitors, with the capacitors values and weights found analytically. The solution of the mixed electrostatic problem where each electrode might be characterized either by its voltage or by its charge is also considered. As a special case, the solution for transducers with separate or interconnected floating strips follows from the general solution.