The light beam in the figure passes through a polarizer whose transmission axis makes an angle ϕ with the vertical. The beam is partially polarized and partially unpolarized, and the average intensity S̅0 of the incident light is the sum of the average intensity S̅0, polar of the polarized light and the average intensity S̅0, unpolar of the unpolarized light; S̅0 = S̅0, polar + S̅0, unpolar. The intensity S of the transmitted light is also the sum of two parts: S̅ = S̅polar + S̅unpolar. As the polarizer is rotated clockwise, the intensity of the transmitted light has a minimum value of S̅ = 2.0 W/m2 when ϕ = 20.0° and has a maximum value of S̅ = 8.0 W/m2 when the angle is ϕ = ϕmax.
(i) How is S̅unpolar related to S̅0, unpolar?
(ii) How is S̅polar related to S̅0, polar?
(a) What is the intensity S̅0, unpolar of the incident light that is unpolarized?
(b) What is the intensity S̅0, polar of the incident light that is polarized?
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