Consider a plasma slab of thickness L and number density specified by n(x), where the x axis is normal to the slab. A plane polarized monochromatic electromagnetic wave is normally incident on the slab (assume ω sufficiently large that η² > 0). Neglecting reflection from the slab surfaces, determine an expression for the Faraday rotation angle as the wave traverses the plasma slab. Then, simplify this expression considering the cases n(x) =constant and n(x) = x, for 0 < x < L.