A monochromatic laser beam of intensity Io = 659.0 W/m2 is polarized in the y-di

Question

A monochromatic laser beam of intensity Io = 659.0 W/m2 is polarized in the y-direction and propagates in the positive z-direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of ?1 = 79.0 degrees with the positive x axis.
1) What is Imid, the intensity of the beam immediately following the polarizer whose transmission axis is aligned with the x-axis?
2) What is Ifinal, the intensity of the beam immediately following the last polarizer?
3) What is the ratio of Ey,final, the maximum value of the y-component of the electric field immediately following the last polarizer, to Eo, the amplitude of the electric field oscillations in the incident polarized beam?
4) The positions of the quarter-waveplate and the last polarizer are now interchanged. What is Ifinal,new, the intensity of the beam after passing through the new arrangement of the two polarizers and the quarter-wave plate?
5) What is the polarization of the beam immediately following the quarter-wave plate?
Right Circularly Polarized
-Left Circularly Polarized
-Linearly polarized at 45 degrees to the positive x-axis.
-Linearly polarized at 135 degrees to the positive x-axis.
6) Suppose you are free to rotate ?1, the transmisison axis of the initial polarizer. How many values of ?1, 0 ? ?1 < 180o, will produce a final intensity of zero after the quarter-wave plate?
-None
-One
-Two

Explanation / Answer

hope this helps. https://docs.google.com/viewer?a=v&q=cache:E5FL-0rxqDsJ:www.ece.neu.edu/courses/eece5646/2009fa/hw2sol.pdf+&hl=en&pid=bl&srcid=ADGEESjXgt-OV6HLGICrsZ1r8DdHA02qPSAqeOY6NSgU70yb0I-68D9Mi3I7-Y3JPBc-WlT6gfZ2u3Q3Xr_Hp2kQGWcGIvjIUv-gPWhgw4EzG7rpF1jZODkqz_TLHITjAlxIoy65RNif&sig=AHIEtbQyMq6tCrjfs4NCKZa8Q9DCOcgs0g&pli=1

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