Continuation of acoustic near-fields.
Continuation of acoustic near-fields.
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DOI：
10.1121/1.1528173
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发表时间：
2003-02
期刊：
影响因子：
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通讯作者：
E. Williams
中科院分区：
文献类型：
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作者：
E. Williams
本文讨论了在与振子表面共形的有限片上确定的相干压力场的解析延拓问题。该解析延拓是将给定（测量）场扩展或外推到原始有限片外部且与原始有限片相切的区域中，并且基于与两个共形表面上的声学量相关的绿色函数（传递函数）。测量的压力场的延续是需要使用正则化理论的逆问题，特别是当数据中存在噪声时。提出了一种迭代算法，成功地将压力场延续到切向薄板中。该算法在接近原始边界处精度较高，且随着远离原始边界的距离逐渐衰减到零。结果表明，成功的外推（延续），这一数据到一个地区的近两倍，原来的压力场。该算法不局限于平面曲面，可适用于任意形状的曲面。
This paper deals with the analytic continuation of a coherent pressure field specified on a finite sheet located close to and conformal to the surface of a vibrator. This analytic continuation is an extension or extrapolation of the given (measured) field into a region outside and tangential to the original finite sheet, and is based on the Green's function (the transfer function) relating acoustic quantities on the two conformal surfaces. The continuation of the measured pressure field is an inverse problem that requires the use or regularization theory, especially when noise is present in the data. An iteration algorithm is presented that is successful in continuing the pressure field into the tangential sheet. The results are accurate close to the original boundary and taper (decay) toward zero with distance away from it. The algorithm is tested on numerical and experimental data from a point-driven rectangular plate. Results show the successful extrapolation (continuation) of this data into an area nearly double that of the original pressure field. This algorithm is not limited to planar surfaces and can be applied to arbitrarily shaped surfaces.