Parabolic wave equation approxi-mations in heterogeneous media
Parabolic wave equation approxi-mations in heterogeneous media
复制标题
异质介质中的抛物线波动方程近似
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
P. Joly
中科院分区：
文献类型：
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作者：
A. Bamberger;B. Engquist;L. Halpern;P. Joly
分析了标量波动方程抛物近似的不同变形的性质。这些方程具有一般形式，包括地震学、水声学和其他应用中所用的方程。本文导出了一种适用于非均匀介质的新的抛物近似。它具有最佳的性能，在材料界面处的波反射。反射波和透射波的振幅连续地依赖于界面。证明了存在性、唯一性和能量估计。
The properties of different variants of parabolic approximations of scalar wave equations are analyzed. These equations are of general form which includes those used in seismology, underwater acoustics and other applications. A new version of the parabolic approximation is derived for heterogeneous media. It has optimal properties with respect to wave reflection at material interfaces. The amplitudes of the reflected and transmitted waves depend continuously on the interface. Existence, uniqueness and energy estimates are proved.