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Unformatted text preview: Phys 375 HW 4 Fall 2009 Due 19 / 20 October, 2009 1. Consider the disturbance given by the expression ( ) [ ] ) sin( 2 / cos ˆ ) cos( ˆ ) , ( kz E t j t i t z E π ω ω − + = , where i ˆ and j ˆ are unit vectors in the x and ydirections. What kind of wave is it? Draw a sketch showing its main features. Solution: First, since the zdependence is alone inside the sine function we see that this is a standing wave. Then we notice that light is equal split between x ˆ and y ˆ , with a 2 / π phase shift, implying that the light is circularly polarized. 2. Substances such as sugar, Karo syrup, and insulin are optically active; they rotate the plane of polarization in proportion to both the path length and the concentration of the solution. A glass vessel is placed between two perfect crossed linear polarizers, and 50% of the natural light incident on the first polarizer is transmitted through the second polarizer. By how much did the sugar solution in the cell rotate the light that passed by...
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 Spring '11
 ENO
 Physics, Polarization, Cos, nair

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