Title :
Cascading formulas for identical transducer P-matrices
Author :
Morgan, David P.
Author_Institution :
Impulse Consulting, Northampton, UK
Abstract :
Formulas are derived for the P-matrix of a cascade of identical acoustic transducers, in terms of the P-matrix of one elementary transducer. The derivation makes no assumptions other than reciprocity and the validity of the P-matrix description. Consequently, the results are valid for a wide range of cases, such as simple SAW gratings or group-type single-phase unidirectional transducers (SPUDT´s), where each element is a transducer plus grating. The formulas are used to derive a general relation for the directivity of a SPUDT in terms of the directivity of one period.
Keywords :
S-matrix theory; acoustic transducer arrays; surface acoustic wave transducers; transmission line matrix methods; acoustic transducers; cascading formulas; closed-form formulae; directivity; elementary transducer; group-type single-phase unidirectional transducers; identical transducer P-matrices; reciprocity; simple SAW gratings; three port matrix; transducer array; Acoustic scattering; Acoustic transducers; Acoustic waves; Couplings; Equations; Ferroelectric materials; Gratings; Surface acoustic waves; Ultrasonics, ferroelectrics, and frequency control; Voltage;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
