Group-theory approach to tailored electromagnetic properties of metamaterials: An inverse-problem solution
نویسندگان
چکیده
منابع مشابه
The use of inverse quadratic radial basis functions for the solution of an inverse heat problem
In this paper, a numerical procedure for an inverse problem of simultaneously determining an unknown coefficient in a semilinear parabolic equation subject to the specification of the solution at an internal point along with the usual initial boundary conditions is considered. The method consists of expanding the required approximate solution as the elements of the inverse quadrati...
متن کاملAn Inverse Problem in Number Theory and Geometric Group Theory
This paper describes a new link between combinatorial number theory and geometry. The main result states that A is a finite set of relatively prime positive integers if and only if A = (K −K)∩N, where K is a compact set of real numbers such that for every x ∈ R there exists y ∈ K with x ≡ y (mod 1). In one direction, given a finite set A of relatively prime positive integers, the proof construc...
متن کاملOn optimal solution of an inverse air pollution problem: Theory and numerical approach
A three-dimensional dispersion air pollution model with point sources is considered in a limited region. The adjoint model and the duality principle are used to pose a variational short-term control problem with the aim of determining optimal emission rates of the sources. The existence and uniqueness of the optimal control problem solution are proved. A numerical scheme using a process of orth...
متن کاملAn inverse electromagnetic scattering problem for cavity
We consider the inverse electromagnetic scattering problem of determining the shape of a perfectly conducting cavity from measurement of scattered electric field due to electric dipole sources on a surface inside the cavity. We prove a reciprocity relation for the scattered electric field and a uniqueness theorem for the inverse problem. Then the near field linear sampling method is employed to...
متن کاملGroup theoretical description of artificial electromagnetic metamaterials.
Point group theoretical methods are used to determine the electromagnetic properties of metamaterials, based solely upon the symmetries of the underlying constituent particles. From the transformation properties of an electromagnetic (EM) basis under symmetries of the particles, it is possible to determine, (i) the EM modes of the particles, (ii) the form of constitutive relations (iii) magneto...
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: Physical Review E
سال: 2011
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.83.066603