Ultrasonic contrast agent detection and imaging by low frequency manipulation of high frequency scattering properties
a technology of high frequency scattering and contrast agent, applied in diagnostics, applications, reradiation, etc., can solve the problems of high transmission amplitude, low image resolution typical obtained with harmonic imaging, and the destruction of contrast agent bubbles
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[0037] The invention will now be described in more detail with reference to the figures.
[0038] For small amplitude radius excursions, the mathematical equations governing contrast bubble oscillation can be linearized and we obtain the following transfer function from drive pressure to radial bubble displacement 1 H 1( ) =12 - 1 - i d where d =b0 m,0 2 = s m , = 0
[0039] Here, .omega. is the angular frequency and .omega..sub.0 is the resonance frequency of the bubble while s is the stiffness of the gas and shell, m is the inertia of the surrounding liquid, and d is a damping factor of the resonant system.
[0040] The absolute value and phase angle of H.sub.1(.OMEGA.) is shown in the upper and lower panel in FIG. 1a, respectively. In the lower panel, we see that for drive frequencies well below resonance the displacement is .pi. out of phase with the driving pressure. For frequencies well above resonance the bubble responds differently and the displacement and drive pressure are now in p...
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