Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings
DOI10.1515/jiip.2011.048zbMath1279.78011OpenAlexW2333122159MaRDI QIDQ5745482
Johannes Elschner, Guanghui Hu
Publication date: 30 January 2014
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2011.048
uniquenessinverse scatteringNavier equationboundary conditions of the third (fourth) kindthree-dimensional diffraction grating
Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)
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Cites Work
- Unnamed Item
- Reflection and transmission of elastic waves by the spatially periodic interface between two solids (theory of the integral-equation method)
- Uniqueness in determining polygonal periodic structures
- On the uniqueness of the inverse elastic scattering problem for periodic structures
- Global uniqueness in determining polygonal periodic structures with a minimal number of incident plane waves
- Unique determination of periodic polyhedral structures by scattered electromagnetic fields
- Elastic Wave Propagation in a Semi-Infinite Solid Medium
- Uniqueness in inverse elastic scattering with finitely many incident waves
- Elastodynamic diffraction by a periodic rough surface (stress-free boundary)
- An inverse problem for scattering by a doubly periodic structure
- Diffraction in periodic structures and optimal design of binary gratings. Part I: direct problems and gradient formulas
- Uniqueness theorems in inverse scattering theory for periodic structures
- A uniqueness theorem for an inverse problem in periodic diffractive optics
- Optimal design of periodic antireflective structures for the Helmholtz equation
- Schiffer's theorem in inverse scattering theory for periodic structures
- An inverse problem in periodic diffractive optics: global uniqueness with a single wavenumber
- Determining a sound-soft polyhedral scatterer by a single far-field measurement
- Uniqueness theorems for an inverse problem in a doubly periodic structure
- Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers
- Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering
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