In many applications, knowledge of the sound pressure transfer to the eardrum is important. The transfer is highly influenced by the shape of the ear canal and its acoustic properties, such as the acoustic impedance at the eardrum. Invasive procedures to measure the sound pressure at the eardrum are usually elaborate or costly. In this work, we propose a numerical method to estimate the transfer impedance at the eardrum given only input impedance measurements at the ear canal entrance by using one-dimensional first-order finite elements and Nelder-Mead optimization algorithm. Estimations on the area function of the ear canal and the acoustic impedance at the eardrum are achieved. Results are validated through numerical simulations on ten different ear canal geometries and three different acoustic impedances at the eardrum using synthetically generated data from three-dimensional finite element simulations.

翻译：在许多应用中，了解声音压力到鼓膜的传递至关重要。这种传递受耳道形状及其声学特性（如鼓膜处的声阻抗）的显著影响。测量鼓膜处声压的侵入式方法通常复杂且成本高昂。本文提出一种数值方法，仅通过耳道入口处的输入阻抗测量值，利用一阶一维有限元法和Nelder-Mead优化算法估计鼓膜处的传递阻抗。该方法实现了对耳道面积函数和鼓膜声阻抗的估计。通过使用三维有限元模拟生成的合成数据，对十种不同耳道几何形状和三种不同的鼓膜声阻抗进行了数值模拟验证，结果证明了方法的有效性。