ps07 - Homework (7) for Physics 316, Modern Physics I

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Unformatted text preview: Homework (7) for Physics 316, Modern Physics I (Hoffstaetter/Drasco/Thibault) Due Date: Friday, 03/18/05 - 9:55 in 132 Rockefeller Hall Exercise 1: How can a device be built that outputs horizontally polarized light of an intensity that is independent of the polarization direction of an incoming linearly polarized beam? Exercise 2: Cross two linear polarizers with an angle of 90 ◦ so that no light is transmitted. Insert a third polarizer in between these two with an angle θ to the first polarizer. What is the transmission as a function of θ ? Exercise 3: Given a horizontally polarized beam with ~ E = ~e x E x cos( kz- ωt + φ x ) and ω = ck . a) Verify that | ~ E ( z,t ) | 2 depends on z and t . Compute the time average < | ~ E ( z,t ) | 2 > t . Does it depend on z ? b) Given a coordinate system that is tilted by an angle θ so that ~e x = ~e x cos θ + ~e y sin θ and ~e y =- ~e x sin θ + ~e y cos θ . Derive the field components E x and E y in the x and in the y direction....
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This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell.

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