Fourier integral operators with open umbrellas and seismic inversion for cusp caustics

Fourier integral operators with open umbrellas and seismic inversion for cusp caustics
复制标题

具有开伞和尖点焦散地震反演的傅立叶积分算子

DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
A. Greenleaf
A. Greenleaf
中科院分区：
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文献类型：
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作者：
R. Felea;A. Greenleaf

文献摘要

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通常，傅里叶积分算子(FIO)的组成不必是FIO。受背景声速存在尖点焦散的线性化地震反演问题的启发，我们考虑了正则关系具有一定双边尖点简并性的FOS，并证明了所得到的组合在对角线和开伞的联合下具有波前关系，这是最简单的奇异拉格朗日流形。
In general the composition of Fourier integral operators (FIOs) need not be an FIO. Motivated by the problem of linearized seismic inversion in the presence of cusp caustics for the background sound speed, we consider FIOs whose canonical relations have certain two-sided cusp degeneracies, and show that the resulting compositions have wave-front relations in the union of the diagonal and an open umbrella, the simplest type of singular Lagrangian manifold.