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 |
|---|---|
| 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 Sep 1 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
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Singularity of scattering and Dirichlet-to-Neumann operator symbols in elliptic wave propagation models. / Yoon, Ji Hun; Kim, Jeong-Hoon; Jo, Jinnam.
In: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), Vol. 80, No. 3, 01.09.2015, p. 651-675.Research output: Contribution to journal › Article
TY - JOUR
T1 - Singularity of scattering and Dirichlet-to-Neumann operator symbols in elliptic wave propagation models
AU - Yoon, Ji Hun
AU - Kim, Jeong-Hoon
AU - Jo, Jinnam
PY - 2015/9/1
Y1 - 2015/9/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84941208850&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84941208850&partnerID=8YFLogxK
U2 - 10.1093/imamat/hxu006
DO - 10.1093/imamat/hxu006
M3 - Article
AN - SCOPUS:84941208850
VL - 80
SP - 651
EP - 675
JO - IMA Journal of Applied Mathematics
JF - IMA Journal of Applied Mathematics
SN - 0272-4960
IS - 3
ER -