Limits to the enhancement of piezoelectric transducers achievable by materials engineering

The case of a piezoelectric material with infinity m axial symmetry (applicable to piezoceramics and most piezocomposites) is analyzed, and formulae for the resulting structures are derived. In terms of transducer design, the constraints on the elastic and dielectric constants provide no blockage to achieving acoustic impedance matching to the medium and electric impedance matching to the electronics. Electromechanical coupling is shown to be limited by the material's maximal coupling factors. A simple formula is derived which facilitates evaluating the maximal electromechanical coupling factor when the electric field is applied along the polar axis from the planar coupling factor and the thickness coupling factor, which can be readily evaluated from the lateral and thickness resonances of a disk.<<ETX>>

[1]  B. Auld Acoustic fields and waves in solids. Vol. 1 , 1990 .

[2]  Ronald E. Cohen,et al.  Origin of ferroelectricity in perovskite oxides , 1992, Nature.

[3]  W. A. Smith,et al.  PmC6a. Maximal electromechanical coupling in piezoelectric ceramics—its effective exploitation in acoustic transducers , 1992 .

[4]  R. Bellman Introduction To Matrix Analysis By Richard Bellman, New York, 1960 , 1960 .

[5]  J. Nye Physical Properties of Crystals: Their Representation by Tensors and Matrices , 1957 .

[6]  W. A. Smith,et al.  New opportunities in ultrasonic transducers emerging from innovations in piezoelectric materials (Invited Paper) , 1992, SPIE Optics + Photonics.

[7]  H. Baerwald Invariant Form of Linear Twin-Property Constitutive Equations and Its Application to Piezoelectricity , 1970, IEEE Transactions on Sonics and Ultrasonics.

[8]  H. Baerwald EIGEN COUPLING FACTORS AND PRINCIPAL COMPONENTS, THE THERMODYNAMIC INVARIANTS OF PIEZOELECTRICITY , 1960 .

[9]  Don Berlincourt,et al.  3 – Piezoelectric and Piezomagnetic Materials and Their Function in Transducers , 1964 .

[10]  W. A. Smith,et al.  Optimizing electromechanical coupling in piezocomposites using polymers with negative Poisson's ratio , 1991, IEEE 1991 Ultrasonics Symposium,.

[11]  M. Musgrave,et al.  ON THE CONSTRAINTS OF POSITIVE-DEFINITE STRAIN ENERGY IN ANISOTROPIC ELASTIC MEDIA , 1990 .

[12]  Thomas R. Shrout,et al.  Relaxor ferroelectric materials , 1990, IEEE Symposium on Ultrasonics.