Abstract
A previous treatment of overtone modes in trapped energy resonators is extended to the case of two-pole monolithic crystal filters. The asymptotic dispersion relations for the fundamental and odd overtone coupled thickness-shear and thickness-twist waves near cutoff along with the simple approximate edge conditions at junctions, which were employed in the earlier treatment of resonators, are applied in the analysis of two-pole monolithic crystal filters. Both thickness-shear and thickness- twist coupling directions are considered. The influence of piezoelectric stiffening, electrode mass loading, and electrical shorting is included in the analysis. A lumped parameter representation of the admittance matrix for the two-port device is obtained. Numerical results are presented for a few geometrical configurations.
Published Version
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