The reciprocity theorem for the scattered field is the progenitor of the generalized optical theorem.
The reciprocity theorem for the scattered field is the progenitor of the generalized optical theorem.
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散射场的互易定理是广义光学定理的前身。
DOI：
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发表时间：
2011
影响因子：
2.4
通讯作者：
R. Snieder
中科院分区：
文献类型：
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作者：
H. Douma;I. Vasconcelos;R. Snieder
通过分析扰动介质中波场的相关型互易定理，表明散射场的相关型互易定理是广义光学定理的鼻祖。与广义光学定理相反，该互易定理允许不均匀的背景特性并且不利用远场条件。当考虑嵌入均匀背景介质中的有限尺寸散射体并利用远场条件时，该定理专门针对广义光学定理。此外，结果表明，散射场的互易定理是地震干涉测量中非物理（寄生）到达的抵消的原因，因此提供了此类到达的数学描述。尽管这里仅处理声波，但是所提出的处理不限于这样的波场并且可以推广到一般波场。因此，这项工作提供了推导一般波场的广义光学定理等价物的框架。
By analyzing correlation-type reciprocity theorems for wavefields in perturbed media, it is shown that the correlation-type reciprocity theorem for the scattered field is the progenitor of the generalized optical theorem. This reciprocity theorem, in contrast to the generalized optical theorem, allows for inhomogeneous background properties and does not make use of a far-field condition. This theorem specializes to the generalized optical theorem when considering a finite-size scatterer embedded in a homogeneous background medium and when utilizing the far-field condition. Moreover, it is shown that the reciprocity theorem for the scattered field is responsible for the cancellation of non-physical (spurious) arrivals in seismic interferometry, and as such provides the mathematical description of such arrivals. Even though here only acoustic waves are treated, the presented treatment is not limited to such wavefields and can be generalized to general wavefields. Therefore, this work provides the framework for deriving equivalents of the generalized optical theorem for general wavefields.