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
N1 - Publisher Copyright:
© 2014 The authors.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
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.
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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 -