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Updated: Jul 7, 2026

A Stable Phantom Material for Optical and Acoustic Imaging
Published on: June 16, 2023
Pulse-echo single frequency acoustic nonlinearity parameter (B /A) measurement
1Bio-Imaging Res., Lincolnshire, IL.
Abstract:
A pulse-echo single-frequency method for B/A measurement is reported. The technique is based on excitation of the medium at a progressively increasing amplitude level and the computing of B/A from the deviation in linearity of the transducer input-output relationship. Starting from the nonlinear wave equation, a three-dimensional analytical formulation that predicts the approximate field distribution for finite-amplitude waves is derived. This provides the computation for the transducer output voltage for progressively increasing signal levels. It is shown that, by a suitable normalization, the effects of the diffraction can be excluded. From a nonlinear least-squares fit of the experimental data to the analytical equation, the B/A is computed. A number of simulations for the model together with preliminary experiments that were carried out at 3.5 GHz are presented.
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