Singularity of scattering and Dirichlet-to-Neumann operator symbols in elliptic wave propagation models | OUP Journals & Magazine | IEEE Xplore

Singularity of scattering and Dirichlet-to-Neumann operator symbols in elliptic wave propagation models

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Abstract:

Combining wave field decomposition, invariant imbedding and general phase theory can reformulate the ill-posed elliptic wave propagation problems into the exact, well-pos...Show More

Abstract:

Combining wave field decomposition, invariant imbedding and general phase theory can reformulate the ill-posed elliptic wave propagation problems into the exact, well-posed, one-way problems. As a main focus in the direct and inverse analysis of this approach, the singularity structure (turning points, focal points, cusps, kinks and poles) of the scattering and Dirichlet-to-Neumann operator symbols are presented and analysed in the transversely homogeneous limit. A specific 2D example is provided with numerical results.
Published in: IMA Journal of Applied Mathematics ( Volume: 80, Issue: 3, June 2015)
Page(s): 651 - 675
Date of Publication: June 2015

ISSN Information:


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