Asymptotic Method for Solving the Problem of Scattering of Electromagnetic Fields by a Set of Small Impedance Particles
摘要
The solution to the problem of scattering of electromagnetic waves by a set of small-size impedance particles of any shape is obtained by using the asymptotic approach. Particles are located in a homogeneous domain with electric constant ε0 and magnetic permeability μ0 . The solution is obtained under the condition that the characteristic size b of particles tends to zero, b → 0, whereas the number of particles M(b) tends to infinity according to a certain rule. The solution of the problem is presented in the explicit form, which excludes the necessity of solving the corresponding boundary integral equations for finding the fields on the surfaces of particles and, therefore, it is not necessary to integrate the derivatives of the Green function, which is the kernel of the boundary integral equation. The practical application of this approach makes it possible to simulate media with desired inhomogeneous distributions of the refraction coefficient and magnetic permeability. For the analyzed physical parameters, we obtain explicit analytic relations.