Electromagnetic wave scattering by a small impedance particle: Theory and modeling

2012

Optics Communications

Self Cite

Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a → 0, where a is the radius of the cylinders. It is assumed that the centers of the cylindersx m are distributed so that, where N (∆) is the number of pointŝin an arbitrary open subset of the plane xOy, the axes of cylinders are parallel to z-axis. The function N(x) ≥ 0 is a given continuous function. An equation for the self-consistent (limiting) field is derived as a → 0. The cylinders are assumed perfectly conducting. Formula for the effective refraction coefficient of the new medium, obtained by embedding many thin cylinders into a given region, is derived. The numerical results presented demonstrate the validity of the proposed approach and its efficiency for solving the many-body scattering problems, as well as the possibility to create media with negative refraction coefficients.

“…This work continues the earlier investigations in [10]- [21], and the numerical modeling presented in [1]- [3].…”

supporting

confidence: 84%

Section: Numerical Resultsmentioning

confidence: 99%

Scattering of electromagnetic waves by many thin cylinders: Theory and computational modeling

2012

Optics Communications

Self Cite

“…Let us assume that in any sub-domain ∆, the number N (∆) of the embedded bodies D m is given by formula (1), and boundary impedances ζ m of small particles are defined by formula (2).…”

Section: Finding the Solutionmentioning

confidence: 99%

Application of the asymptotic solution to EM field scattering problem for creation of media with prescribed permeability

2013

J. Appl. Math. Comput.

Scattering of electromagnetic (EM) waves by many small impedance particles (bodies), embedded in a homogeneous medium, is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for the effective EM field in the limiting medium, in the limit a → 0, where a is the characteristic size of a particle and the number M (a) of the particles tends to infinity at a suitable rate. The proposed theory allows one to create a medium with a desirable spatially inhomogeneous permeability. The main new physical result is the explicit analytical formula for the permeability µ(x) of the limiting medium. The computational results confirm a possibility to create the media with various distributions of µ(x).

Section: B Finding the Solutionmentioning

confidence: 99%

“…The computational procedures for numerical solution of the scattering problem were developed in [1], [2].…”

Section: Introductionmentioning

confidence: 99%

Creating media with prescribed permeability using the asymptotic solution to EM wave scattering problem

2014 20th International Conference on Microwaves, Radar and Wireless Communications (MIKON)

2014

Abstract-Asymptotic solution to scattering problem of electromagnetic (EM) waves by many small impedance particles, embedded in a homogeneous medium, is applied for creating media with prescribed permeability. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for the effective EM field in the resulting medium. The proposed theory allows one to create a medium with a desirable spatially inhomogeneous permeability. The main new physical result is the explicit analytic formula for the permeability µ(x) of the limiting medium. The computational results confirm a possibility to create the media with various distributions of µ(x).