Electromagnetic wave scattering by many parallel to the z−axis, thin, impedance, parallel, infinite cylinders is studied asymptotically as a → 0. Let Dmbe the cross-section of the m−th cylinder, a be its radius and
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Electromagnetic wave scattering by many parallel to the z−
axis, thin, impedance, parallel, infinite cylinders is studied asymptotically as a →
0. Let Dm
be the cross-section of the m−
th cylinder, a
be its radius and
be its center, 1 ≤ m ≤ M
). It is assumed that the points,
, are distributed, so that
(∆) is the number of points,
, in an arbitrary open subset, ∆, of the plane, xoy
. The function,
, is a continuous function, which an experimentalist can choose. An equation for the self-consistent (effective) field is derived as a →
0. A formula is derived for the refraction coefficient in the medium in which many thin impedance cylinders are distributed. These cylinders may model nano-wires embedded in the medium. One can produce a desired refraction coefficient of the new medium by choosing a suitable boundary impedance of the thin cylinders and their distribution law.