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Wave-field representations with Green's functions, propagator matrices, and Marchenko-type focusing functions
1Department of Geoscience and Engineering, Delft University of Technology, Stevinweg 1, 2628 CN Delft, The Netherlands.
The Journal of the Acoustical Society of America
|February 2, 2022
Summary
This study unifies acoustic wave-field representations using a matrix-vector approach. This enables advanced inverse scattering and imaging methods using data from a single boundary.
Area of Science:
- Acoustics
- Wave propagation
- Mathematical physics
Background:
- Classical acoustic wave-field representations rely on volume and boundary integrals.
- These integrals involve Green's functions, source distributions, and wave fields.
Purpose of the Study:
- To reformulate acoustic wave-field representations using a unified matrix-vector formalism.
- To develop advanced inverse scattering, imaging, and monitoring methods.
Main Methods:
- Utilized a unified matrix-vector wave equation for diverse wave phenomena.
- Reformulated representations in terms of Green's matrices, source vectors, and wave-field vectors.
- Introduced propagator matrices and Marchenko-type focusing functions.
Main Results:
- The matrix-vector formalism simplifies wave-field representations.
- Propagator matrices can replace Green's matrices.
- Boundary integrals are confined to a single open boundary when using propagator matrices and focusing functions.
Conclusions:
- The developed representations are suitable for inverse scattering, imaging, and monitoring.
- These methods are particularly effective for wave fields acquired on a single boundary.
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