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st 18 C.2 a) A particular optical device has Jones matrix C.3 C S ar when expressed using a standard Cartesian co-ordinate system. i) Find the polarization state transmitted by this device when light linearly po- larized along the r direction is incident upon it. ii) Repeat for y polarized incident light iii) Find the eigenpolarizations and eigenvalues of J. iv) On the basis of your results for parts i)-iii), identify the device, and suggest the physical effect responsible for its behaviour. v) An unpolarised light beam of intensity lo passes through our device and is near-normally incident upon a high quality mirror, as illustrated below. Unpolarised Mirror 131 121 15 123 14] Given that the Jones matrix of the device is the same for travel in either direction, express I (the intensity after the first pass) and 12 (the intensity after the second pass) in terms of the incident intensity Io. b) The E field of a particular electromagnetic wave has the form: E(2, 1) = ( cos(wt) + e, sin(wt)] E, sin(kz) (i) Sketch the t dependence of E, vs E, for a series of different values of z. (ii) Sketch also E-(z) vs E,(2) for a series of different values of t. 12 12