Measurements of frequency spectra of transmission coefficients to ultrasound through trapped microbubbles

Techniques which use hydrophobic polycarbonate thin sheets containing randomly spaced, fairly uniform small pores immersed in water to trap air bubbles have been found to be useful in biophysical experiments. The utilization of broadband polyvinylidene fluoride transducers in this work made it possible to measure a continuous frequency spectrum of the transmission coefficient of the trapped bubbles. The results of the measurements show: (1) the frequency response curve of the bubble ensemble is much broader than that of a single bubble predicted by theory; and (2) as the incident sound pressure at a micropore membrane increases from 110 to 660 Pa the resonance frequency of bubbles shifts to lower values by as much as 7%.