numerical modeling

Combination of the asymptotical approach for solving the initial diffraction problem and numerical solution of the received integral equations is applied to creating the media with desired refraction coefficient. The obtained refraction coefficient, close to the desired one, is created by change of electrophysical and geometrical parameters of small particles embedded in given media. The initial diffraction problem is considered under the assumptions ka > , where a is the size of the particle and d is the distance between the neighboring particles.

The problem of scattering of electromagnetic (EM) waves by many small impedance particles (bodies), embedded in a homogeneous medium is studied in order to create medium with desired permeability. Physical properties of the particles are described by their boundary impedance. The limiting integral equation is obtained for the effective EM field in the limiting medium, at a → 0 , where a is the characteristic size of a particle and M ( ) a is the number of particles. The proposed approach allows one to create a medium with a desirable spatially inhomogeneous permeability.

The problem of scattering of the electromagnetic (EM) waves by many small impedance bodies (particles), embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedance. The boundary integral equation is obtained for the effective EM field in the limiting medium for the case if radius of particles tends to zero and number of particles tends to infinity by suitable rate. The medium, created by the embedding of the small particles, has new physical properties.