Electromagnetic wave scattering by a small impedance particle of arbitrary shape

OPTICS COMMUNICATIONS

卷:284

Article

Ramm, A. G.

关键词: Electromagnetic waves;    Wave scattering by small body;    Boundary impedance;   

DOI  :  10.1016/j.optcom.2011.04.035

来源: Elsevier

【 摘 要 】

Scattering of electromagnetic (EM) waves by one small (ka << 1) impedance particle (body) D of arbitrary shape, embedded in a homogeneous medium, is studied. Physical properties of the particle are described by its boundary impedance. The problem is of interest because scattering of light by colloidal particles, or by dust in the air is an example of the scattering theory discussed in this paper. An analytic formula is obtained for the EM field in the far zone without usage of boundary integral equation. If a monochromatic incident field of frequency omega is E-0(x, omega), then the scattered field v in the zone r: = vertical bar x vertical bar >> a, where a = 0.5diamD is the characteristic size of D, is calculated by the formula v = [del e(ij sigma)/4 pi r, Q]. where [A, B] is the cross product of two vectors, (Q, e(j)) is the dot product, e(j), 1 <= j <= 3, are orthonormal basis vectors in R-3, Qj : = (Q, e(j)) = i zeta vertical bar S vertical bar/omega mu(0) tau(jp)(del xE(0)(O))(p), over the repeated index p summation is understood from Eqs. (1) to (3), zeta is the boundary impedance and vertical bar S vertical bar is the surface area of the particle, O is an element of D is the origin, the tensor tau(jp): = delta(jp) - vertical bar S vertical bar(-1) integral N-S(j)(s)N-p(s)ds, where N-j(s) is the j-th component of the unit normal N(s) to the surface Sat the point s is an element of S, k = omega(c(0)mu(0))(1/)2 is the wave number. (C) 2011 Elsevier B.V. All rights reserved.

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