Stability estimates for obstacles in inverse scattering
نویسندگان
چکیده
منابع مشابه
Stability Estimates in Inverse Scattering
An algorithm is given for calculating the solution to the 3D inverse scattering problem with noisy discrete fixed energy data. The error estimates for the calculated solution are derived. The methods developed are of general nature and can be used in many applications: in nondestructive evaluation and remote sensing, in geophysical exploration, medical diagnostics and technology.
متن کاملStability estimates for an inverse scattering problem at high frequencies
We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator ...
متن کاملNew Global Stability Estimates for Monochromatic Inverse Acoustic Scattering
We give new global stability estimates for monochromatic inverse acoustic scattering. These estimates essentially improve estimates of [P. Hähner, T. Hohage, SIAM J. Math. Anal., 33(3), 2001, 670-685] and can be considered as a solution of an open problem formulated in the aforementioned work.
متن کاملUniqueness in Inverse Transmission Scattering Problems for Multilayered Obstacles
Assume a time-harmonic electromagnetic wave is scattered by an infinitely long cylindrical conductor surrounded by an unknown piecewise homogeneous medium remaining invariant along the cylinder axis. We prove that, in TM mode, the far field patterns for all incident and observation directions at a fixed frequency uniquely determine the unknown surrounding medium as well as the shape of the cyli...
متن کاملThe direct and inverse scattering problems for partially coated obstacles
Abstract We consider the direct and inverse scattering problems for partially coated obstacles. To this end, we first use the method of integral equations of the first kind together with variational methods to solve a scattering problem for the Helmholtz equation where the scattered field satisfies mixed Dirichletimpedance boundary conditions on the Lipschitz boundary of the scatterer D. We the...
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: Journal of Computational and Applied Mathematics
سال: 1992
ISSN: 0377-0427
DOI: 10.1016/0377-0427(92)90164-s