Electromagnetic Wave Scattering by a Thin Layer in Which Many Small Particles Are Embedded
نویسنده
چکیده
Scattering of electromagnetic (EM) waves by many small particles (bodies), embedded in a thin layer, is studied. Physical properties of the particles are described by their boundary impedances. The thin layer of depth of the order O(a) with many embedded in it small particles of characteristic size a, is described by a boundary condition on the surface of the layer. The limiting interface boundary condition is obtained for the effective EM field in the limiting medium, in the limit a → 0, where the number M (a) of the particles tends to infinity at a suitable rate.
منابع مشابه
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 scatte...
متن کاملElectromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications
The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary shape and an integral equation for the effective field in the medium where many such particles are embedded. These results are applied for creating a medium with a desired ...
متن کاملElectromagnetic 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...
متن کاملElectromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape
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...
متن کاملElectromagnetic 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...
متن کامل