Modeling the Radiation Characteristics of a Set Chaotically Placed Microparticles

Solution to the problem of electromagnetic (EM) scattering of waves on the impedance particles with small size of various shapes with the chaotic rule of their distribution is sought for by the asymptotic approach. The particles are placed in a homogeneous volume with the given material parameters. Solution to problem is derived under the condition that the definitive size of particles approaches to zero; besides the quantity of particles approaches to infinity at a specific principle. The solving procedure is reduced to derivation of a close form of the solution that avoids the need of solving the governing integral equation, which is used to determine the fields in the particle’s surfaces. This allows to keep out of integration of the derivatives of Green function, which are presented in a kernel of the derived integral equation. The solution to auxiliary system of linear algebraic equations (SLAE) allows getting the numerical solution of problem. The modeling results confirm the quick convergence of the method proposed.