Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations

نویسندگان

  • Larisa Beilina
  • Michel Cristofol
  • Kati Niinimäki
  • L. Beilina
چکیده

We consider the inverse problem of the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell’s system in 3D with limited boundary observations of the electric field. The theoretical stability for the problem is provided by the Carleman estimates. For the numerical computations the problem is formulated as an optimization problem and hybrid finite element/difference method is used to solve the parameter identification problem.

برای دانلود 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

Ground penetrating radar inversion in 1-D: an approach for the estimation of electrical conductivity, dielectric permittivity and magnetic permeability

This paper presents a method for inverting ground penetrating radargrams in terms of one-dimensional profiles. We resort to a special type of linearization of the damped E-field wave equation to solve the inverse problem. The numerical algorithm for the inversion is iterative and requires the solution of several forward problems, which we evaluate using the matrix propagation approach. Analytic...

متن کامل

تابش چرنکوف نسبیتی در حضور محیط دی‌الکتریک مغناطیده

In this paper, relativistic Cherenkov radiation was studied in a 3-D magneto-dielectric medium. Electric permittivity and magnetic permeability of the medium as functions of frequency, are assumed to satisfy Kramers- Kronig equations. A new interaction Hamiltonian, which is different from Hamiltonian term in non-relativistic state, was introduced by the quantized vector potential field and part...

متن کامل

Size–Dependent Bruggeman Approach for Dielectric–Magnetic Composite Materials

Abstract Expressions arising from the Bruggeman approach for the homogenization of dielectric–magnetic composite materials, without ignoring the sizes of the spherical particles, are presented. These expressions exhibit the proper limit behavior. The incorporation of size dependence is directly responsible for the emergence of dielectric–magnetic coupling in the estimated relative permittivity ...

متن کامل

Hybrid method for full identification of buried objects and surrounding media

This study describes a hybrid technique for identification of buried objects. The object’s shape and electromagnetic profile are reconstructed from evaluations of electrical permittivity and conductivity. The method suggests a combination of linear sampling and optimization. Linear sampling method (LSM) is used to recover shape and metaheuristic optimizations essential to reconstruct the inside...

متن کامل

Optimization Techniques for Permittivity and Permeability Determination

This paper discusses optimization techniques for the determination of complex permittivity and permeability in transmission lines. The traditional theoretical model using scattering parameters is extended into a mathematical regression model that can be solved with widely accepted numerical techniques. This new model produces accurate primary mode results for the samples tested including nonmag...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017