小海底不均匀体对internal waves的散射
Scattering of internal waves from small sea bottom inhomogeneities
摘要：
本文从模式间散射的观点出发，研究了线性内波在海底小不均匀体上的散射问题。导出了模式转化系数的一个简单公式，该公式量化了从入射场第m模式散射到第n模式的能量。在这个公式中，不均匀性的表示，通过它们的扩展到傅立叶和傅立叶-贝塞尔级数分别相对于角坐标和径向坐标。计算结果，在一个简单的模型的情况下，进行。所得到的公式可以用于制定的反问题，因为它是在声学的情况下。
英文摘要：
The problem of scattering of linear internal waves from small compact sea bottom inhomogeneities is considered from the point of view of mode-to-mode scattering. A simple formula for modal conversion coefficients, quantifying the amount of energy that is scattered into the n-th mode from the incident field m-th mode, is derived. In this formula the representation of inhomogeneities by their expansions into the Fourier and Fourier-Bessel series with respect to angular and radial coordinates respectively are used. Results of calculations, performed in a simple model case, are presented. The obtained formula can be used for a formulation of the inverse problem, as it was done in the acoustic case.
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