A Three Port Model for Thickness Mode Transducers Using SPICE II
Chriswell G. Hutchens, Sidney A. Morris · 1984
A model based on Schwarz's artificial transmission line (ATL) model [l] has been developed for use on the SPICE I1 circuit analysis program. The model uses lumped elements configured as two stages. The first stage models the electrical behavior of the transducer. The second stage consists of a T type artiticial transmission line which models the acoustic behavior of the transducer. Piezoelectric coupling is modeled by dependent circuit sources in each stage. Expressions are derived for the minimum number of artificial transmission line sections as a function of maximum tolerable error in Zo, phase error, and cut off frequency. Comparison of simulation results with actual transducer systems show agreement. simulation of the complete transducer system: transducer, driver and receiver electronics, plus electrical and acoustical matching and acoustic loading. The model is extremely easy to use allowing