A plane wave traveling through vacuum in the z direction encounters a perfect conductor occupying the region z ≥ 0, and reflects back: E(z, t) = E0 [cos(kz − ωt) − cos(kz + ωt)] ˆx, (z < 0). Requried:
a. Find the accompanying magnetic field (in the region z < 0).
b. Assuming B = 0 inside the conductor, find the current K on the surface z = 0, by invoking the appropriate boundary condition.
c. Find the magnetic force per unit area on the surface, and compare its time average with the expected radiation pressure.