A two-stage method for inverse medium scattering
نویسندگان
چکیده
منابع مشابه
A two-stage method for inverse medium scattering
We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with mixed regularization. The first step is strictly direct and of sampling type, and faithfully detects the scatt...
متن کاملA Two-Stage Method for Inverse Acoustic Medium Scattering
We present a novel numerical method to the time-harmonic inverse medium scattering problem of recovering the refractive index from noisy near-field scattered data. The approach consists of two stages, one pruning step of detecting the scatterer support, and one resolution enhancing step with nonsmooth mixed regularization. The first step is strictly direct and of sampling type, and it faithfull...
متن کاملA Direct Sampling Method for Inverse Electromagnetic Medium Scattering
In this paper, we study the inverse electromagnetic medium scattering problem of estimating the support and shape of medium scatterers from scattered electric/magnetic near-field data. We shall develop a novel direct sampling method based on an analysis of electromagnetic scattering and the behavior of the fundamental solution. It is applicable to a few incident fields and needs only to compute...
متن کاملInverse Medium Scattering Problems for Electromagnetic Waves
Consider a time-harmonic electromagnetic plane wave incident on a medium enclosed by a bounded domain in R3. In this paper, existence and uniqueness of the variational problem for forward scattering are established. An energy estimate for the scattered field with a uniform bound with respect to the wavenumber is obtained in the case of low frequency on which the Born approximation is based. A c...
متن کاملA new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium
A new method is presented for solving the inverse scattering problem of determining the speed of sound in an inhomogeneous medium from the far-field data. If F (a; k , 6 ) are the far-field data corresponding to an incident plane wave with wavenumber k moving in the direction & and F j , ( f ; k , &) are the far-field data for a ball no containing the inhomogeneous region and satisfying an impe...
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 Physics
سال: 2013
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2012.12.004