COMPARISON OF WKB CALCULATIONS AND EXPERIMENTAL RESULTS FOR 3-DIMENSIONAL COCHLEAR MODELS
COMPARISON OF WKB CALCULATIONS AND EXPERIMENTAL RESULTS FOR 3-DIMENSIONAL COCHLEAR MODELS
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DOI：
10.1121/1.382570
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发表时间：
1979-01-01
影响因子：
2.4
通讯作者：
TABER, LA
中科院分区：
文献类型：
--
作者：
STEELE, CR;TABER, LA
本文将WKB渐近方法应用于具有正方形阶截面的耳蜗模型的计算，其中流体运动是完全三维的。分析开始于具有恒定特性的管道中的波传播的精确解。这个解决方案有些繁琐但简单，因为它需要在管道上进行傅里叶级数展开。然后用Whitham公式，很容易地为具有沿长度沿着缓慢变化的特性的管道生成近似解。对Cannel和海勒的实验模型进行了数值计算，他们提供了基底膜响应和模型参数的定量细节。在没有任何自由参数可供调整的情况下，本文的WKB解与实验模型的结果符合得相当好。电脑时间合理;对于给定频率，在沿着耳蜗沿着的多个站处的位移包络和相位的计算仅需要1 μ s的CPU [计算单元]时间。因此，该方法的可信度和实用性是建立在更现实和更精细的耳蜗模型的调查。
The WKB asymptotic method is applied to the calculation of cochlear models with square scala cross section, for which the fluid motion is fully 3 dimensional. The analysis begins with the exact solution for wave propagation in a duct with constant properties. This solution is somewhat tedious but straightforward, since it requires a Fourier series expansion across the duct. Then with the formulation of Whitham, the approximate solution is readily generated for the duct with properties which vary slowly along the length. Numerical calculations are carried out for the experimental models of Cannel and Helle who furnish quantitative details of both basilar membrane response and model parameters. Without any free parameters for adjusting, the present WKB solution shows quite satisfactory agreement with the experimental model results. Computer time is reasonable; the calculation of displacement envelope and phase at a number of stations along the cochlea for a given frequency requires only 1 s of CPU [computation unit] time. Thus the credibility and practicality of the approach is established for the investigation of yet more realistic and more elaborate cochlear models.