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 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 =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 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 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 rad = 360 2.84 2....
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35 - Interference - Physics 212 Fall 2009 Interference...

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