An iterative method for a two-dimensional inverse scattering problem for a dielectric
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Ahmet Altundag
und
Rainer Kress
Abstract.
The inverse problem under consideration is to reconstruct the shape of a homogeneous dielectric infinite cylinder from the far field pattern for scattering of a time-harmonic E-polarized electromagnetic plane wave. We propose an inverse algorithm that extends the approach suggested and investigated by Kress and Rundell for the electrostatic case and by Ivanyshyn and Kress for the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layer potential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples.
© 2012 by Walter de Gruyter Berlin Boston
Artikel in diesem Heft
- Masthead
- Preface
- Single-logarithmic stability for the Calderón problem with local data
- The identification problem for the functional equation with a parameter
- A posteriori error analysis for unstable models
- A review of selected techniques in inverse problem nonparametric probability distribution estimation
- Unified approach to classical equations of inverse problem theory
- Optimized analytic reconstruction for SPECT
- Numerical method for solving an inverse electrocardiography problem for a quasi stationary case
- A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
- On inverse problems in partially ordered spaces with a priori information
- An iterative method for a two-dimensional inverse scattering problem for a dielectric
- On the Shack–Hartmann based wavefront reconstruction: Stability and convergence rates of finite-dimensional approximations
- Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem
Artikel in diesem Heft
- Masthead
- Preface
- Single-logarithmic stability for the Calderón problem with local data
- The identification problem for the functional equation with a parameter
- A posteriori error analysis for unstable models
- A review of selected techniques in inverse problem nonparametric probability distribution estimation
- Unified approach to classical equations of inverse problem theory
- Optimized analytic reconstruction for SPECT
- Numerical method for solving an inverse electrocardiography problem for a quasi stationary case
- A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
- On inverse problems in partially ordered spaces with a priori information
- An iterative method for a two-dimensional inverse scattering problem for a dielectric
- On the Shack–Hartmann based wavefront reconstruction: Stability and convergence rates of finite-dimensional approximations
- Unique continuation and continuous dependence results for a severely ill-posed integro-differential parabolic problem
