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Exercise III Optics

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Exercise III Optics

Problem 1:

(a) Write an expression for a P-state light wave of angular frequency ω and amplitude E0 propagating along the x-axis with its plane of vibration at an angle of 25◦ to the xy- plane. The disturbance is zero at t = 0 and x = 0.

(b) Suppose you were given a linear polarizer and a quarter-wave plate. How could you determine which was which, assuming you also had a source of natural light?

(c) Light reflected from a glass (ng = 1.65) plate immersed in ethyl alcohol (ne = 1.36) is found to be completely linearly polarized. At what angle will the partially polarized beam be transmitted into the plate?

Problem 2:

Describe completely the state of polarization of each of the following waves

Problem 3:

Imagine that we have randomly polarized room light incident almost normally on the glass surface of a radar screen. A portion of it would be specularly reflected back toward the viewer and would thus tend to obscure the display. Suppose now that we cover the screen with a right- circular polarizer, as shown in Figure bellow. Trace the incident and reflected beams, indicating their polarization states. What happens to the reflected beam?

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Problem 4:

The prism shown in figure below known as a Rochon polarizer. Sketch of the pertinent rays, assuming

1. that it is made of calcite.

2. that is made of quartz.

3. why might such a device be more useful that a dichroic polarizer when functioning with high- flux density laser light?

4. what valuable feature of the Rochon is lacking in the Wollaston polarizer?

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