Numerical methods for locating small dielectric inhomogeneities
نویسنده
چکیده
We present numerical simulations illustrating the reconstruction of data for electromagnetic inverse problems. Two situations are considered: prescribed electric field and measured magnetic field at the boundary of a medium with cylindrical symmetries, and the analysis of the far field pattern of a scattered field produced by the incidence of an incoming wave on a set of small inhomogeneities. © 2003 Elsevier Science B.V. All rights reserved.
منابع مشابه
The Leading-Order Term in the Asymptotic Expansion of the Scattering Amplitude of a Collection of Finite Number of Dielectric Inhomogeneities of Small Diameter
We rigorously derive the leading-order term in the asymptotic expansion of the scattering amplitude for a collection of a finite number of dielectric inhomogeneities of small diameter. The asymptotic formula derived in this paper provides the basis for the numerical reconstruction of dielectric scatterers of small diameter, as demonstrated by Volkov. [email protected] Address all co...
متن کاملA direct impedance tomography algorithm for locating small inhomogeneities
Impedance tomography seeks to recover the electrical conductivity distribution inside a body from measurements of current flows and voltages on its surface. In its most general form impedance tomography is quite ill-posed, but when additional a-priori information is admitted the situation changes dramatically. In this paper we consider the case where the goal is to find a number of small object...
متن کاملGlobally Convergent Numerical Methods for Coefficient Inverse Prob- lems for Imaging Inhomogeneities
How can we differentiate between an underground stone and a land mine? We discuss a class of methods for solving such problems. This class of methods concerns globally convergent numerical methods for Coefficient Inverse Problems, unlike conventional locally convergent algorithms. Numerical results are presented modeling imaging of the spatially distributed dielectric permittivity function in a...
متن کاملEffective dielectric constant of periodic composite materials
We present computer simulation data for the effective permittivity ~in the quasistatic limit! of a system composed of discrete inhomogeneities of permittivity e1 , embedded in a three-dimensional homogeneous matrix of permittivity e2 . The primary purpose of this paper is to study the related issue of the effect of the geometric shape of the components on the dielectric properties of the medium...
متن کاملSensitivity Analysis with Respect to the Insertion of Small Inhomogeneities
In the present work, the topological asymptotic analysis is extended to the case of the insertion of small inhomogeneities in the domain. As a model example, we consider solutions to the Helmholtz equation in two and three dimensions: div (αε∇uε) + βεuε = 0, where (αε, βε) are the piecewise constant functions equal to (α1, β1) inside the inhomogeneity x0 + εB, B denoting a fixed subdomain of R,...
متن کاملذخیره 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 2003