A Rayleigh-Plesset-like equation is derived that describes the radial oscillation of an encapsulated microbubble between two elastic walls, assuming that the microbubble is attached to one of them. The obtained equation is then used in numerical simulations in order to establish how the presence of the opposite wall affects the resonance properties and the scattered echo of the encapsulated microbubble. The results of the present study are of immediate interest for targeted ultrasound imaging where one has to deal with the acoustic response of contrast agents oscillating inside blood vessels.
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