任意幂律衰减下弱波传播压力振幅的闭式解
Closed-form weak-wave propagation pressure amplitudes for arbitrary power-law attenuation
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中文总结 AI 辅助
针对生物组织幂律衰减，提出任意幂律衰减下基波、二次和三次谐波压力振幅的闭式弱波表达式，显著降低基波带耗损和B/A估计误差，支持定量超声组织表征。
中文摘要 AI 辅助
生物组织表现出衰减系数的幂律频率依赖性。我们推导了在具有任意幂律衰减的均匀介质中，单色声平面波基波、二次和三次谐波压力振幅的闭式弱波表达式，以扩展经典二次衰减表达式。对于线性频率依赖的衰减，使用k-Wave k空间赝谱求解器进行的一维模拟显示，基波带耗损的归一化均方根误差为35-42%（经典）和0-2%（所提出的）。这一扩展支持改进定量超声组织表征中基波带B/A估计。在具有近似线性衰减的体模中进行的概念验证透射应用，实验B/A估计误差为23.7-52.7%（经典）和4.0-5.9%（所提出的）。
英文摘要
Biological tissues exhibit power-law frequency dependence of the attenuation coefficient. We derive closed-form weak-wave expressions for fundamental, second-, and third-harmonic pressure amplitudes of monochromatic acoustic plane waves in homogeneous media with arbitrary power-law attenuation to extend classical expressions for quadratic attenuation. For linear frequency dependence of attenuation, one-dimensional simulations using the k-Wave k-space pseudospectral solver yielded 35-42% (classical) and 0-2% (proposed) normalized root-mean-square errors for fundamental-band depletion. This extension supports improved fundamental-band B/A estimation for quantitative ultrasound tissue characterization. A proof-of-concept through-transmission application in phantoms with nearly linear attenuation yielded experimental B/A estimation errors of 23.7-52.7% (classical) and 4.0-5.9% (proposed).
发表机构
- Pontificia Universidad Católica del Perú（秘鲁天主教宗座大学）
- University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）
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