p34_041 - 41. (a) The rotation cannot be done with a single...

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41. (a) The rotation cannot be done with a single sheet. If a sheet is placed with its polarizing direction at an angle of 90 to the direction of polarization of the incident radiation, no radiation is transmitted. It can be done with two sheets. We place the Frst sheet with its polarizing direction at some angle θ , between 0 and 90 , to the direction of polarization of the incident radiation. Place the second sheet with its polarizing direction at 90 to the polarization direction of the incident radiation. The transmitted radiation is then polarized at 90 to the incident polarization direction. The intensity is I 0 cos 2 θ cos 2 (90 θ )= I 0 cos 2 θ sin 2 θ ,where I 0 is the incident radiation. If θ is not 0 or 90 , the transmitted intensity is not zero. (b) Consider n sheets, with the polarizing direction of the Frst sheet making an angle of θ =90 /n relative to the direction of polarization of the incident radiation. The polarizing direction of each
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