MIT2_71S09_gquiz2 - 2.710 Quiz 2 50 min 8:058:55am EDT...

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2.710 Quiz 2 50 min 8:05–8:55am EDT 8:05–8:55pm SST
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MASSACHUSETTS INSTITUTE OF TECHNOLOGY 2.710 Optics Spring ’09 QUIZ 2 Monday, April 27 th , 2009 1. Interference Two plane waves of wavelength λ are propagating on the xz plane such that their electric fields at ( x = 0 , z = 0) reach simultaneously their maximum positive values at t = 0. The first plane wave’s angle of propagation is π/ 6 radians. The second plane wave’s angle of propagation is π/ 3 radians, and its amplitude equals 1 / 2 of the first plane wave’s amplitude. We observe the interference pattern between the two plane waves on a screen parallel to the x axis and located at z = 0. a) (10%) What is the period of the interference pattern? (Express it as fraction of the wavelength λ .) b) (10%) What is the value of the intensity at x = 0? (Normalize such that the first plane wave, if propagating by itself, would produce intensity equal to 1.) c) (10%) What is the contrast of the interference pattern?
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