Elastic electrode polarization in a spatial harmonic field and the natural Boundary Element Method [SAW transducers]

The polarization of an elastic electrode under the influence of electrical and mechanical displacement fields being harmonic in space is treated analytically. The known exact analytic solutions of the electrostatic problem for periodic electrode structures and of the mechanical problem for a rectangular elastic strip are used to find surface charge and surface mechanical stress distributions induced by the spatial harmonic fields on the electrode. It is demonstrated for the first time that the stresses near the electrode edges have logarithmic singularities. The knowledge of the electrode polarization allows one to select by a natural way an optimal function basis for expansions of surface charge and stress distributions