Global boundary flattening transforms for acoustic propagation under rough sea surfaces.
Global boundary flattening transforms for acoustic propagation under rough sea surfaces.
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粗糙海面下声波传播的全局边界平坦化变换。
DOI：
10.1121/1.3445783
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
R. Oba
中科院分区：
文献类型：
--
作者：
R. Oba
本文介绍了一维粗糙海面下声学域到平顶声域的保角变换。这种非微扰变换可以包括数百个波长的表面变化。由此产生的二维平顶区域允许使用变换的声速直接应用任何现有的Helmholtz或波动方程的声传播模型。这种变换-模型组合适用于表面粒子速度比声速慢得多的地方，从而可以忽略边界运动。一旦计算了声场，双射(一对一和一对一)映射允许根据原始坐标对场进行内插。逆Riemann映射的Bergstrom方法通过迭代求解曲面匹配项的积分方程来确定变换。粗糙海面正向散射试验用Helmholtz方程的抛物线方程模型对该方法进行了验证。
This paper introduces a conformal transform of an acoustic domain under a one-dimensional, rough sea surface onto a domain with a flat top. This non-perturbative transform can include many hundreds of wavelengths of the surface variation. The resulting two-dimensional, flat-topped domain allows direct application of any existing, acoustic propagation model of the Helmholtz or wave equation using transformed sound speeds. Such a transform-model combination applies where the surface particle velocity is much slower than sound speed, such that the boundary motion can be neglected. Once the acoustic field is computed, the bijective (one-to-one and onto) mapping permits the field interpolation in terms of the original coordinates. The Bergstrom method for inverse Riemann maps determines the transform by iterated solution of an integral equation for a surface matching term. Rough sea surface forward scatter test cases provide verification of the method using a particular parabolic equation model of the Helmholtz equation.