AI Article Synopsis
- The study examines correlation-type reciprocity theorems in wavefields through perturbed media, revealing that the reciprocity theorem for scattered fields is foundational to the generalized optical theorem.
- This new theorem is more flexible as it accommodates inhomogeneous backgrounds and doesn't require far-field conditions, unlike the generalized optical theorem, which is specific to certain conditions.
- Additionally, the reciprocity theorem effectively cancels out non-physical arrivals in seismic interferometry and can be extended beyond acoustic waves to include other wavefields, establishing a broader framework for related theories.
Article Abstract
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.
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| http://dx.doi.org/10.1121/1.3569728 | DOI Listing |
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