Computer programs in MATLAB were wrote down starting from basic physics, not borrowing from commercially available programs. Thus models can be modified or combined in any way depending on required conditions, and therefore these models have lead to deep understanding. In this way new ideas were created and lead to 57 US patents and other WTIO or EP patents.
Available computer programs are,
* Acoustic wave propagations, near field to far field directivities, wave diffraction and attenuation, dependency on transducer size.
* Transducer design on arbitrary number of multilayer including bonding layer, impedance matching layer (including mass-spring model), multilayer absorber, protection layer effect, input impedance, external circuit effects by transmission line and electrical matching networks.
* Piezo-parameter determination from measured impedance spectrum of single phase PZT or 1-3 composite, or 2-2 composite, PVDF or PVDF/TrFE copolymer. The parameters are at the high frequency region (~ MHz) of actual use of transducers, which should be different from vendor's spec which are for more generalized applications.
* Waveform predictions for drive with arbitrary number of burst cycles and response wave for the designed transducers and external circuits.
* Arbitrary number of multilayer flexural sensors for sensing vibrations, displacements, force or acceleration suitable for PVDF or PZT sensors in cantilever or both ends simple supported or fixed, resonance, fundamental and higher order mode.
* Cylindrical film resonators of PVDF for air acoustic transducers, which can be mounted on tip or a pen and used for computer input devices for hand drawing.
