Electromagnetic wave scattering by many small perfectly conducting particles of an arbitrary shape

New physical phenomena are predicted in the medium in which many small perfectly conducting particles are embedded: a change in the refraction coefficient, which may become spatially inhomogeneous, and a matrix differential conductivity operator which appears in the region, where the small conducting bodies are embedded.An analytical formula is derived for the electromagnetic (EM) field scattered by a perfectly conducting body of an arbitrary shape, small in comparison with the wavelength. Many-body EM wave scattering problem for small perfectly conducting particles of an arbitrary shape is solved. Multiple scattering is taken into account rigorously. Integral equation is derived for the limiting effective field in the medium in which many small particles are embedded, when the characteristic size a   of a small particle tends to zero and the total number of the embedded particles M(a)=O(a−3)M(a)=O(a−3) tends to infinity.A linear algebraic system is derived for numerical solution of the many-body EM wave scattering problem when the scatterers are small perfectly conducting particles of an arbitrary shape.