MIT6_013S09_pset05

MIT6_013S09_pset05 - MASSACHUSETTS I STITUTE OF TECH OLOGY...

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MASSACHUSETTS Iglyph1197STITUTE OF TECHglyph1197OLOGY Department of Electrical Engineering and Computer Science 6.013 – Electromagnetics and Applications Problem Set 5 Suggested Reading: Course notes, Sections 9.5.1 - 9.5.3, 9.2.1 - 9.2.4. 9.1, 9.2.6. Problem 5.1 -6 A certain pair of Polaroid sheets transmits light with minimum transmission (10 ) when their attenuating axes are at right angles, and with an ideal 0.5 transmission when these axes are aligned. We wish to design a light intensity modulator by electrically controlling the permittivity ε fast along the fast axis of a perfectly transparent plate of -5 thickness d inserted between these two polaroids, where ε fast = ε slow + 10 V , ε slow = 2ε o is the permittivity of the orthogonal slow axis, and V is the control voltage applied along the fast axis. (a) In terms of d and ε o , what control voltage V yields a quarter-wave plate (QWP) between the polaroids, and what is the maximum fraction F of the incident light that can then pass through the modulator when the two Polaroid sheets are at right angles (i.e.

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