Causal determination of acoustic group velocity and frequency derivative of attenuation with finite-bandwidth Kramers-Kronig relations.
Causal determination of acoustic group velocity and frequency derivative of attenuation with finite-bandwidth Kramers-Kronig relations.
复制标题
利用有限带宽 Kramers-Kronig 关系确定声群速度和衰减频率导数的因果关系。
DOI：
10.1103/physreve.72.016604
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Miller,JamesG
中科院分区：
文献类型：
--
作者：
Mobley,Joel;Waters,KendallR;Miller,JamesG
Kramers-Kronig（KK）实验数据的分析是复杂的外推问题，也就是说，如何未经检查的光谱带影响KK计算。这项工作演示了因果关系的共振型数据提供的声学KK关系的群velocityand的衰减系数的衍生物（组件的衍生物的声学复波数）没有外推或未测量的参数。这些关系提供了更严格的测试因果一致性相对于先前建立的KK关系的相velocityand衰减系数（组件的未分化的声波数）由于其形状不变性相对于减法常数。对于群速度和衰减导数，导出了三种形式的关系式。这些关系对于覆盖整个无限频谱的带宽是等价的，但是当限制于带限频谱时不同。使用实验数据从悬浮液中的弹性球在盐水中，有限带宽KK预测的准确性和证明。在多种方法中，发现最准确的是那些积分仅用相速度和衰减系数本身表示的方法，不需要微分量。
Kramers-Kronig (KK) analyses of experimental data are complicated by the extrapolation problem, that is, how the unexamined spectral bands impact KK calculations. This work demonstrates the causal linkages in resonant-type data provided by acoustic KK relations for the group velocityand the derivative of the attenuation coefficient(components of the derivative of the acoustic complex wave number) without extrapolation or unmeasured parameters. These relations provide stricter tests of causal consistency relative to previously established KK relations for the phase velocityand attenuation coefficient(components of the undifferentiated acoustic wave number) due to their shape invariance with respect to subtraction constants. For both the group velocity and attenuation derivative, three forms of the relations are derived. These relations are equivalent for bandwidths covering the entire infinite spectrum, but differ when restricted to bandlimited spectra. Using experimental data from suspensions of elastic spheres in saline, the accuracy of finite-bandwidth KK predictions forandis demonstrated. Of the multiple methods, the most accurate were found to be those whose integrals were expressed only in terms of the phase velocity and attenuation coefficient themselves, requiring no differentiated quantities.