3. Reflection from Solar Panels: Solar panels work by converting incident electromagnetic power into electrical currents. Assume that the solar panel is located at z = 0 and is represented by 'Medium 2' in the figure below. The solar panel is made out of crystalline silicon and has a permittivity e, = 13.8p. At a particular frequency w, the incident wave is propagating in the z-direction and the corresponding electric field is given by E' = & E'cos(wt - koz). The reflected and transmitted electric fields are given by E" = & E" cos(wt + koz) and E = &E'cos(wt-k,z) respectively. zio Medium 1 Medium 2 a) Find an expression for the time averaged incident power density (in Watts/m?). b) Find an expression for the time averaged reflected power density (in Watts/m?). c) Find an expression for the time averaged transmitted power density (in Watts/m). Is power being transmitted efficiently? d) How can the system be modified to increase the percentage of power that transfers into the solar panel?