# Scattering Width of an Infinite Cylinder

Calculate the scattering width of an infinite cylinder. The infinite cylinder is modelled using an one-dimensional periodic boundary condition (PBC).

The scattering by a circular cylinder^{1} is computed by:

$$SW=\frac{1}{\lambda}\underset{\rho \to \infty}{\mathrm{lim}}\left[2\pi \rho \frac{\mid {E}_{z}^{s}{\mid}^{2}}{\mid {E}_{z}^{i}{\mid}^{2}}\right]$$
.

^{1}C. A. Balanis, Advanced Engineering Electromagnetics, Wiley, 1989, pp. 607.