Plastic sheet is made by passing plastic between rollers. this leaves the polymer in the plastic partially aligned, so that the permittivity is different for the x , y and z axes \left ( \epsilon _x, \epsilon _y, \epsilon _z \right ) .
(a) what is the wavelength of light of frequency f when it is polarized along \hat{x} ?
(b) green light has electric vector \vec{e}=\left ( \hat{x}cos\left\theta +\hat{y}sin\theta \right )exp(ikz-i\omega t)) for z< 0 (just outside the plastic). for what thickness d and angle \theta of the plastic will the light have circular polarization at z=d ?
(c) a solution of molecules that are not mirror symmetric (such as sugar) have different permittivities \epsilon _r , \epsilon _l for right- and left- hand circularly polarized light. what happens to linearly polarized light when it passes through such a material (give a quantitative discussion, . note that linearly polarized light can be represented as a coherent superposition of right- and left-hand circularly polarized light)?