2001
DOI: 10.1007/978-94-017-0613-1
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Acoustic Characterization of Contrast Agents for Medical Ultrasound Imaging

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Cited by 159 publications
(173 citation statements)
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“…2224 Therefore, it was assumed that the gas cores of the microbubbles were filled purely with air due to the washing and conjugation steps in air-saturated media. The polytropic exponent for the gas core was calculated by first considering the thermal diffusion length: 6 lD=Kg2ωdρgCp where ω d is the damped angular frequency, and K g , ρ g and C p are the thermal conductivity, density and heat capacity at constant pressure of the gas, respectively. The polytropic exponent was then calculated by the following equation: 6 κ=normalRe{[1γ(1+3(γ1)normalΨ2(normalΨnormalcothnormalΨ1))]1} where normalΨ=12(1+i)RlD and γ is the adiabatic constant (specific heat ratio) of the gas.…”
Section: Resultsmentioning
confidence: 99%
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“…2224 Therefore, it was assumed that the gas cores of the microbubbles were filled purely with air due to the washing and conjugation steps in air-saturated media. The polytropic exponent for the gas core was calculated by first considering the thermal diffusion length: 6 lD=Kg2ωdρgCp where ω d is the damped angular frequency, and K g , ρ g and C p are the thermal conductivity, density and heat capacity at constant pressure of the gas, respectively. The polytropic exponent was then calculated by the following equation: 6 κ=normalRe{[1γ(1+3(γ1)normalΨ2(normalΨnormalcothnormalΨ1))]1} where normalΨ=12(1+i)RlD and γ is the adiabatic constant (specific heat ratio) of the gas.…”
Section: Resultsmentioning
confidence: 99%
“…After measuring and recording a microbubble radius-time curve, the damped resonance frequency was determined using the fast Fourier transform (FFT). The radial oscillations of the microbubble were assumed to obey a linear equation of motion: 6 truex¨+2δω0truex˙+ω02x=0 where x is the microbubble radial displacement, truex˙ is the radial velocity, truex¨ is the radial acceleration, δ is the damping ratio, and ω 0 is the angular eigenfrequency. It was also assumed that, after the initial thermal expansion from the pulsed laser heating of the gold nanoparticles, there is no forcing term present during the microbubble oscillations.…”
Section: Methodsmentioning
confidence: 99%
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“…A model for the oscillation of gas bubbles encapsulated in a thin shell [11,12] has been employed to calculate the nonlinear scattering of Sonazoid microbubbles. Sonazoid is a lipid stabilized suspension of perfluorobutane microbubbles with a median diameter between 2.4 and 3.5 micrometers.…”
Section: Resultsmentioning
confidence: 99%