Green´s function applications in SAW devices

Manifold applications of the Green´s function concept to surface acoustic wave devices are reviewed. The state-of-the-art field calculations are presented together with a newly formulated dynamic piezoelectric element factor. Two- and three-dimensional calculations within the electrostatic- and piezoelectric limits are considered. SAW structures with a finite number of electrodes as well as periodic transducers are analyzed. The concept of periodic-dynamic-dyadic Green´s functions is introduced. This concept leads to a dynamic piezoelectric element factor as a generalization of the element factor in the electrostatic limit. It is known that the Floquet theorem combined with dual series, as applied to periodic structures, generally leads to ill-conditioned numerical calculations. It is shown that the application of the proposed periodic Green´s functions eminently improves the results