论文标题

分层海底的散射:理论与积分方程之间的比较

Scattering from layered seafloors: Comparisons between theory and integral equations

论文作者

Olson, Derek R., Jackson, Darrell

论文摘要

来自分层海底的声学散射表现出对平均地球声分层以及每一层的粗糙度特性的依赖。存在这种环境的几种理论处理,包括小的粗糙度扰动近似,基尔chhoff近似和三种不同版本的小坡度近似。所有这些模型都为散射横截面和相干反射系数提供了不同的结果,目前无法区分哪种模型最正确。在这项工作中,提出了用于从带有粗糙界面的分层海底散射的积分方程,并与小的粗糙度扰动方法和两个小坡度近似相比。发现杰克逊(Jackson)和奥尔森(Olson)的最新小坡度近似是最准确的,当均方根(RMS)粗糙度较大时,当RMS粗糙度较小时,某些模型彼此吻合。

Acoustic scattering from layered seafloors exhibits dependence on both the mean geoacoustic layering, as well as the roughness properties of each layer. Several theoretical treatments of this environment exist, including the small roughness perturbation approximation, the Kirchhoff approximation, and three different versions of the small slope approximation. All of these models give different results for the scattering cross section and coherent reflection coefficient, and there is currently no way to distinguish which model is the most correct. In this work, an integral equation for scattering from a layered seafloor with rough interfaces is presented, and compared with small roughness perturbation method, and two of the small slope approximations. It is found that the most recent small slope approximation by Jackson and Olson is the most accurate when the root mean square (rms) roughness is large, and some models are in close agreement with each other when the rms roughness is small.

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