The analysis of transient Doppler frequency shift from microcavitation

By transmitting a probing wave (29.4 MHz) toward a microbubble, a transient Doppler frequency shift is observed by estimating the transient frequency of the backscattered signal. An analytical solution is obtained by modeling the scatterer as a quasi-static sphere. The model is used to explain the experimental data. By using Prony´s method or eigenanalysis, the frequency shift of the probing wave is clearly shown. The time and frequency correspondence for bubble growth and collapse indicate an acceptable match