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Scattering of electromagnetic (EM) waves by many small particles (bodies)embedded in a homogeneous medium is studied. Physical properties of theparticles are described by their boundary impedances. The limiting equation isobtained for the effective EM field in the limiting medium, in the limit $a\to0$, where $a$ is the characteristic size of a particle and the number $M(a)$ ofthe particles tends to infinity at a suitable rate. The proposed theory allowsone to create a medium with an inhomogeneous permeability. The main newphysical result is the explicit analytical formula for the permeability$\mu(x)$ of the limiting medium. While the initial medium has a constantpermeability $\mu_0$, the limiting medium, obtained as a result of embeddingmany small particles with prescribed boundary impedances, has a non-homogeneouspermeability which is expressed analytically in terms of the density of thedistribution of the small particles and their boundary impedances.

ELECTROMAGNETIC WAVE SCATTERING BY MANY SMALL PARTICLES AND CREATING MATERIALS WITH A DESIRED PERMEABILITY