Electromagnetic wave scattering by small bodies

Electromagnetic wave scattering by small bodies

A reduction of the Maxwell’s system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies. This equation is solved asymptotically as the characteristic size of the bodies tends to zero. The technique developed is used for solving the manybody EM wave scattering problem by rigorously reducing it to s...

Wave Scattering by Small Bodies of Arbitrary Shapes. Wave Scattering by Small Bodies of Arbitrary Shapes * †

Wave scattering by many small bodies

Abstract Wave scattering by many (M = M(a)) small bodies, at the boundary of which an interface boundary condition is imposed, is studied. Smallness of the bodies means that ka << 1, where a is the characteristic dimension of the body and k = 2π λ is the wave number in the medium in which small bodies are embedded. Equation for the effective field is derived in the limit as a → 0, M(a)→∞, at a ...

Many-body wave scattering by small bodies

Acoustic or electromagnetic EM wave scattering by one or several bodies is usually studied by reducing the problem to solving some integral equations. In this paper we show that if the bodies are small in comparison with the wavelength, then the scattering problem can be reduced to solving linear algebraic systems with matrices whose elements have physical meaning. These elements are electrical...

Electromagnetic Wave Scattering by Small Impedance Particles

Scattering of electromagnetic (EM) waves by one and many small (ka 1) impedance particles Dm of an arbitrary shape, embedded in a homogeneous medium, is studied. Analytic formula for the field, scattered by one particle, is derived. The scattered field is of the order O(a2−κ), where κ ∈ [0, 1) is a number. This field is much larger than in the Rayleigh-type scattering. An equation is derived fo...