Scattering of Acoustic and Electromagnetic Waves by Small Impedance Bodies of Arbitrary Shapes

CHAPTER 3

CREATING MATERIALS WITH A DESIRED REFRACTION COEFFICIENT

3.1 Scalar wave scattering. Formula for the refraction coefficient.

Suppose that in a bounded domain filled with a material with a known refraction coefficient n₀(x) M small (ka 1) bodies D_m,1 ≤ m ≤ M, of an arbitrary shape are embedded according to the distribution law (2.1.11), and the boundary impedance of these small bodies is given in (2.1.12). If conditions (2.1.22), (2.1.23), ...