Reconstruction of discontinuities from backscattering data in 2 D ∗

نویسندگان

  • Daniel Faraco
  • Alberto Ruiz
  • Ana Vargas
چکیده

We prove that the non smooth part of a non compactly supported potential q in the Schrödinger Hamiltonian −∆ + q, in dimension n = 2, is contained in its Born approximation qB for backscattering data in a precise sense in terms of continuity: Given q in W the difference q−qB is in the Hölder class Λ for any β < α.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Ultra-Fast Image Reconstruction of Tomosynthesis Mammography Using GPU

Digital Breast Tomosynthesis (DBT) is a technology that creates three dimensional (3D) images of breast tissue. Tomosynthesis mammography detects lesions that are not detectable with other imaging systems. If image reconstruction time is in the order of seconds, we can use Tomosynthesis systems to perform Tomosynthesis-guided Interventional procedures. This research has been designed to study u...

متن کامل

Automatic Rock Mass Discontinuities Detection Based on Binocular 3-D Reconstruction

Measurement of rock mass discontinuities was the key for rock mass 3D network simulation, seepage analysis, and stability analysis. In this paper, a non-contact rock mass discontinuities detection method based on the single camera binocular three-dimensional reconstruction theory was presented. This method provided an effective way for grouping rock mass discontinuities and calculation the disc...

متن کامل

A field investigation of application of digital terrestrial photogrammetry to characterize geometric properties of discontinuities in open-pit slopes

In order to analyze the slope stability in open-pit mines, the structural parameters of rock mass such as persistence and spatial orientation of discontinuities are characterized through field surveys, which involve spending high costs and times as well as posing high risks of rock toppling and rock fall. In the present work, a new application of terrestrial digital photogrammetry is introduced...

متن کامل

Bayesian reconstruction of surface roughness and depth profiles

Bayesian data analysis provides a consistent probabilistic theory for the extraction of sample parameters from spectra measured with MeV ion beam analysis methods. The application of Bayesian data analysis is demonstrated on three different examples, namely the deconvolution of the apparatus function for improving the energy resolution of solid state detectors, the reconstruction of depth profi...

متن کامل

Asphalt Pavement Performance Model of Airport Using Microwave Remote Sensing Satellite

The purpose of this study is to build the binary logit model of an airport pavement that could monitor the pavement condition in near real time using microwave remote sensing satellite, then the relationship between the international roughness index (IRI) of an airport and backscattering values from PALSAR images of the ALOS satellite was determined. Total 390 data were used in analysis. This m...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013