Inverse Scattering for Monochromatic Phaseless Measurements
نویسندگان
چکیده
منابع مشابه
Phaseless inverse scattering problems in 3 - d
Consider the Schrödinger equation in R with the compactly supported potential q (x) , x ∈ R. The problem of the reconstruction of the function q (x) from measurements of the solution of that equation on a certain set is called “inverse scattering problem”. In this paper we prove uniqueness theorems for some 3-d inverse scattering problems in the case when only the modulus of the complex valued ...
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 کاملPhased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients
In this work we first review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coefficients. We perform sensitivity, resolution, and stability analysis of both phased and phaseless problems and compare the degree of ill-posedness of the phased and phaseless reconstructions. The phaseless reconstruc...
متن کاملPhased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients
In this work we shall review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coefficients. We perform sensitivity, resolution and stability analysis of both phased and phaseless problems and compare the degree of ill-posedness of the phased and phaseless reconstructions. The phaseless reconstruct...
متن کاملCompressive Inverse Scattering Ii. Siso Measurements
Inverse scattering schemes based on the restricted isometry property (RIP) in compressed sensing are proposed and analyzed. The methods employ randomly and repeatedly (multipleshot) the single-input-single-output (SISO) measurements in which the frequency, the chosen incidence and the sampling angle are related in a precise way and are capable of recovering exactly (point of extended) scatterer...
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: IEEE Transactions on Instrumentation and Measurement
سال: 2017
ISSN: 0018-9456,1557-9662
DOI: 10.1109/tim.2016.2615478