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 MoreMetadata
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)
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- Index Terms
- Operation Symbols ,
- Dirichlet-to-Neumann Operator ,
- Wavefield ,
- Elliptic Problem ,
- Propionate ,
- Phase Space ,
- Transition Region ,
- Dirac Delta ,
- Irradiation Conditions ,
- Subintervals ,
- Solid Curve ,
- Wave Equation ,
- Eigenvalue Problem ,
- Scattering Matrix ,
- Limit Point ,
- Riccati Equation ,
- Operator Equation ,
- Fundamental Solution ,
- Integro-differential Equations ,
- Feynman Integrals ,
- Helmholtz Equation ,
- Forward Wave ,
- Singular Equations ,
- Imaginary Part
- Author Keywords
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- Index Terms
- Operation Symbols ,
- Dirichlet-to-Neumann Operator ,
- Wavefield ,
- Elliptic Problem ,
- Propionate ,
- Phase Space ,
- Transition Region ,
- Dirac Delta ,
- Irradiation Conditions ,
- Subintervals ,
- Solid Curve ,
- Wave Equation ,
- Eigenvalue Problem ,
- Scattering Matrix ,
- Limit Point ,
- Riccati Equation ,
- Operator Equation ,
- Fundamental Solution ,
- Integro-differential Equations ,
- Feynman Integrals ,
- Helmholtz Equation ,
- Forward Wave ,
- Singular Equations ,
- Imaginary Part
- Author Keywords