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.
Original language | English |
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Pages (from-to) | 651-675 |
Number of pages | 25 |
Journal | IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) |
Volume | 80 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2015 Sept 1 |
Bibliographical note
Publisher Copyright:© 2014 The authors.
All Science Journal Classification (ASJC) codes
- Applied Mathematics