Scattering matrix approach to STW resonators.

The scattering matrix method was used for the analysis of surface transverse wave (STW) resonators on quartz. An expression for the transfer function of the resonators with different numbers of electrodes in the reflectors was derived. It was found that, for a proper ratio of these numbers, the spurious signal level below the resonance frequency can be lowered. The STW resonator for the frequency near 1090 MHz was designed, fabricated, and measured. By matching the measured and calculated transfer functions, the velocity, the electromechanical coupling coefficient, and the reflection coefficient of one aluminium strip of the STW on the 36 degrees Y-cut quartz were determined. The insertion loss about 7 dB, loaded quality coefficient near 4200, and the spurious signal level about 5 dB lower compared with the resonance one were obtained for the resonator.