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.
|Number of pages||25|
|Journal||IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)|
|Publication status||Published - 2015 Sep 1|
Bibliographical notePublisher Copyright:
© 2014 The authors.
All Science Journal Classification (ASJC) codes
- Applied Mathematics