Kim Yong Tae, Kim Ho Chul, Inada-Kim Matthew, Jung Sung Soo, Yun Yong Hyeon, Jho Moon Jae, Sandstrom Kurt
Division of Physical Metrology, Korea Research Institute of Standards and Science, Yusong, Daejeon, Republic of Korea.
Ultrasound Med Biol. 2009 Mar;35(3):472-81. doi: 10.1016/j.ultrasmedbio.2008.09.005. Epub 2008 Dec 20.
The tissue mimicking quality of tofu has been evaluated in terms of acoustic properties and acousto/thermal conversion as functions of frequency and diffraction corrected intensity over the 2 MHz to 18 MHz range using three unfocussed transducers with center frequencies of 5 MHz, 10 MHz and 15 MHz. The density and acoustic velocity were close to the American Institute of Ultrasound in Medicine (AIUM) recommended values for the soft tissue, however, the attenuation increases nonlinearly with frequency as alpha = 0.56 x f(1.3). As a result, the temperature rise in tofu due to ultrasound absorption is expressed by the product of the acousto/thermal conversion factor and the attenuation/diffraction corrected acoustic intensity. The decrease of temperature rise with depth measured by embedded thermocouples agrees with the theoretical exponential decrease of the attenuation/diffraction corrected acoustic intensity. The heat capacity per unit mass of tofu is 0.76 cal/g degrees C (equivalent to 3.18 J/g degrees C) of which about 76% is water. The nonlinear frequency dependence of attenuation in tofu as f(1.3) correctly describes the frequency dependence of temperature rise. The present results suggest that tofu may only be used in a limited low MHz range in view of the estimation of temperature rise and penetration depth due to nonlinear frequency dependence of attenuation.
已使用三个中心频率分别为5兆赫、10兆赫和15兆赫的非聚焦换能器,在2兆赫至18兆赫范围内,根据声学特性以及作为频率和衍射校正强度函数的声/热转换,对豆腐的组织模拟质量进行了评估。豆腐的密度和声速接近美国医学超声学会(AIUM)推荐的软组织值,然而,其衰减随频率呈非线性增加,α = 0.56×f(1.3)。因此,豆腐中因超声吸收导致的温度升高由声/热转换因子与衰减/衍射校正声强的乘积表示。通过嵌入式热电偶测量的温度升高随深度的降低与衰减/衍射校正声强的理论指数下降相符。豆腐的单位质量热容为0.76卡/克·摄氏度(相当于3.18焦/克·摄氏度),其中约76%是水。豆腐中衰减的非线性频率依赖性为f(1.3),正确地描述了温度升高的频率依赖性。鉴于衰减的非线性频率依赖性对温度升高和穿透深度的影响,目前的结果表明豆腐可能仅适用于有限的低兆赫范围。