Integral equation methods in inverse obstacle scattering
نویسندگان
چکیده
منابع مشابه
Integral Equation Methods in Inverse Obstacle Scattering with a Generalized Impedance Boundary Condition
The inverse problem under consideration is to reconstruct the shape of an impenetrable two-dimensional obstacle with a generalized impedance boundary condition from the far field pattern for scattering of time-harmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that extends the approach suggested by Johansson and Sleeman [10] for the case of the inverse...
متن کاملIntegral Equation Methods for the Inverse Obstacle Problem with Generalized Impedance Boundary Condition
Determining the shape of an inclusion within a conducting medium from voltage and current measurements on the accessible boundary of the medium can be modeled as an inverse boundary value problem for the Laplace equation. We present a solution method for such an inverse boundary value problem with a generalized impedance boundary condition on the inclusion via boundary integral equations. Both ...
متن کاملHuygens' principle and iterative methods in inverse obstacle scattering
The main purpose of this paper is to establish relations between three iterative numerical methods based on Huygen’s principle that arose almost simultaneously to solve a particular inverse problem. The inverse problem we consider in this paper is to determine the shape of an obstacle from the knowledge of the far field pattern for scattering of time-harmonic plane waves. In the case of scatter...
متن کاملUniqueness and numerical methods in inverse obstacle scattering
The inverse problem we consider in this tutorial is to determine the shape of an obstacle from the knowledge of the far field pattern for scattering of time-harmonic plane waves. In the first part we will concentrate on the issue of uniqueness, i.e., we will investigate under what conditions an obstacle and its boundary condition can be identified from a knowledge of its far field pattern for i...
متن کاملInverse obstacle scattering in the time domain
This work is a study of the extension of an inverse obstacle scattering algorithm for fixed, single-frequency data to multi-frequency time-dependent settings. The inversion algorithm is based on the point source method, which reconstructs scattered fields pointwise with respect to frequency. We use Fourier transforms to obtain the time-dependent scattered fields as superpositions of single-freq...
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: The ANZIAM Journal
سال: 2000
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100011603