An analytic approach is developed for simulating synchronous resonators emp
loying shear horizontally polarized surface acoustic waves, such as surface
transverse waves, and leaky surface acoustic waves on LiTaO3 and LiNbO3 su
bstrates, The approach, based on a simplified parametrized Green's function
theory, allows the description of the localization of the wave and the int
eraction with bulk acoustic waves. An analytic expression is found for the
harmonic admittance of an infinite periodic electrode array, and approximat
e corrections for finite structures are presented. The model enables fast c
omputation of the admittance of synchronous resonators, and it compares fav
orably with experiments and numerical simulations.