Study of Waveform Recovery by Deconvolution using Simulated Hydrophone

In the measurement of acoustic pressure from medical ultrasonic instruments with a hydrophone, waveform recovery by deconvolution based on a wide-band calibration of the hydrophone has been proposed. To study the deconvolution method, we numerically simulated a hydrophone as well as a nonlinearly propagated focused ultrasonic wave to be received by the hydrophone. Deconvolution with a proper extrapolation of the pressure to voltage sensitivity in frequency domain perfectly recovered the pressure waveform except for a small vicinity of the positive peak, while scaling by the sensitivity at the primary frequency overestimated both negative and positive peak pressures about 5%. Deconvolution underestimated the positive peak pressure by 0-8%, which decreased monotonously as the frequency to start extrapolation increased above 4 times the primary frequency.