35 - Interference

# 35 - Interference - Physics 212 Fall 2009 Interference...

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Unformatted text preview: Physics 212 Fall 2009 Interference 11/18/09 Summary θ 1 = ′ 1 reflection n 1 sin 1 = n 2 sin 2 refraction Concave Mirror Convex Mirror Converging Lens Diverging Lens Image Equations 1 i + 1 o = 1 f m = h i h o = − i o i - image distance o - object distance f - focal distance h i- image height h o- object height Note: Be careful applying the image equations - sign matters concave mirror f>0, convex mirror f<0 converging lens f>0, diverging lens f<0 Superposition of Waves Phase Difference - angular difference between two waves Constructive Interference Destructive Interference Interference Superposition of Traveling Waves Example Two waves with λ =550 nm have equal amplitudes and are in-phase before entering media 1 and 2 as shown below. Medium 1 is air (n 1 =1.0) and medium 2 is plastic with an index of refraction n 2 =1.600 and thickness 2.60 μ m. What is the phase difference of the emerging waves in wavelengths, radians, and degrees. What is their effective phase difference? Number of wavelengths in the media N 1 = L λ 1 = n 1 L 1 = n 1 N 2 = L 2 = n 2 L 2 = n 2 N 2 − N 1 = L n 2 − n 1 ( ) Because n1 ≠ n2 different number of wavelengths “Ft “ in each media Phase difference between two waves can change if the waves travel through different materials with different indexes of refraction N 2 − N 1 = (2.6 E − 6 m ) (550 E − 9 m ) 1.60 − 1.00 ( ) = 2.84 Effective phase difference everything after the decimal 1 = 2 π rad = 360 ° 2.84 2....
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35 - Interference - Physics 212 Fall 2009 Interference...

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