your question is slight not clear, and needs to be elaborated a little more.
A SAW transducer becomes sensitive to an external stimuli (in the propagation path) when the acoustic velocity get changed, and this will cause a change in its designed center frequency.
1) Do You want to study the pressure sensitivity of a SAW transducer, and want
to know how to apply the pressure on the SAW device.
2) Similarly you want apply voltage (DC or AC, what frequency) to the SAW device, and then observe how sensitive is the SAW device ( change in its center frequency), and wish to know how to apply this dc/ac voltage to be detected.
If you can clarify a little bit more, it will be convenient to understand the question.
I am enclosing one paper, see if it is of interest to you.
Sensitivity of a surface acoustic wave transducer?
Interdigital metal finger structure on the surface of piezoelectric substrate can be used to launch surface acoustic waves. The finger spacing repeats for every wavelength. The wave length is proportional to surface wave velocity.
This structure is known as Interdigital Transducer, which converts electrical signal to surface acoustic wave. By symmetry, the same transducer converts surface wave to electrical signal.
The popular substrates are lithium niobate and quartz.
There is no "sensitivity" term used with regard to surface acoustic wave. Each substrate has coupling coefficient, which in turn decides what should be the finger length.
You may re-state your problem clearly.
You can refer my publications on SAW oscillators and filters available in ResearchGate.
In a conventional ultrasound transducer we have a sensitivity mentioned in certain Volts/Pa. Similarly for an input IDT which converts voltage to acoustic wave (which I feel can be correlated to pressure), can we form a similar value? Please let me know If I still haven't made it clear.
Yes, I have seen electromechanical coupling coefficient. What I am interested is to know if we can find out the SAW displacement (or pressure) for a given voltage input to an IDT and vice versa. Can we get this information from the coupling coefficient?
first of all, you should make sure that your IDT has an impedance of 50Ohm at the working frequency if you talk about voltage. Otherwise, you should refer to the load power (forward - reflected power), instead of voltage, giving you a correct indication of how much power is fed to the IDT.
Regarding the amplitude: There are papers dealing theoretically with the amplitude achievable for a given IDT (e.g. 10.1109/TUFFC.2003.1176527). 3D FEM simulations of SAWs are still not feasible at this point of time.
For practical measurements - which I would always recommend if you need exact values - you would need to have access to a laser vibrometer (e.g. the UHF120). Please keep in mind, that SAWs are subject to diffraction! Therefore, the wavefield parameters (amplitude and phase) change with distance from the IDT...