Extended Sampling Method for Inverse Elastic Scattering Problems Using One Incident Wave
نویسندگان
چکیده
منابع مشابه
Multilevel Linear Sampling Method for Inverse Scattering Problems
A novel multilevel algorithm is presented for implementing the widely used linear sampling method in inverse obstacle scattering problems. The new method is shown to possess asymptotically optimal computational complexity. For an n×n sampling mesh in R2 or an n×n×n sampling mesh in R3, the proposed algorithm requires one to solve only O(nN−1) far-field equations for a RN problem (N=2,3), and th...
متن کاملFast methods for inverse wave scattering problems
Inverse wave scattering problems arise in many applications including computerized/diffraction tomography, seismology, diffraction/holographic grating design, object identification from radar singals, and semiconductor quality control. Efficient algorithms exist for some inverse wave scattering problems in the low-and high-frequency regime or with weak scatterers. However, inverse wave scatteri...
متن کاملElastic electron scattering using the Finite Element Method: forward and inverse problems
We address here the case of electron-matter elastic interaction as it occurs in Transmission Electron Microscopy (TEM) experiments. In the forward problem, we show that it is possible to derive the scattered electron wave function as the solution of a Helmholtz equation. This equation depends on the spatial potential associated with the analyzed sample, and can be relevantly solved using the Fi...
متن کاملDirect and Inverse Elastic Scattering Problems for Diffraction Gratings
This paper is concerned with the direct and inverse scattering of time-harmonic plane elastic waves by unbounded periodic structures (diffraction gratings). We present a variational approach to the forward scattering problems with Lipschitz grating profiles and give a survey of recent uniqueness and existence results. Concerning the inverse problem, global uniqueness results within the class of...
متن کاملA Volume Integral Equation Method for the Direct/Inverse Problem in Elastic Wave Scattering Phenomena
The analysis of elastic wave propagation and scattering is an important issue in fields such as earthquake engineering, nondestructive testing, and exploration for energy resources. Since the 1980s, the boundary integral equation method has played an important role in the analysis of both forward and inverse scattering problems. For example, Colton and Kress (1998) presented a survey of a vast ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Imaging Sciences
سال: 2019
ISSN: 1936-4954
DOI: 10.1137/19m1237788