A thin and infinitely long, perfectly conducting strip occupies the area 0 ≤ x ≤ w of the y = 0 plane. A monochromatic plane wave polarized along +z scatters from the strip as shown below. Assume specular reflection and let ω = ck = ck₀.

(a) Find the physical optics surface current density.
(b) Perform the z integration in the exact vector potential produced by K_PO(r, t) and use the Hankel function identity,

to show that

(c) Evaluate A(ρ,φ) in the far zone and show that the two-dimensional differential cross section for scattering is

Do not completely neglect the dependence of |ρ − ρ'| on x when approximating a phase factor in the far zone.

Transcribed Image Text:

ko y Po W k X