Asymptotic Solution of the Scattering Problem on a Set of Chaotic Placed Small Particles

In this paper, we study the electromagnetic (EM) field scattering on a set of chaotic placed small particles using the asymptotic method. Initially, the particles are embedded in a homogeneous material with the fixed material parameters. The smallness of particles results in the semi-analytical form of solution, which in the numerical relation is reduced to solving the system of linear algebraic equations (SLAE) with respect to the auxiliary parameters. This defines an explicit solution to the problem of scattering. The new physical result is the magnetic permeability specific distribution in the obtained inhomogeneous material. The explicit relation is reduced for this material parameter as well.