EE 164 Problem Set 1 Solution

# EE 164 Problem Set 1 Solution - EE 164 Problem 1 Problem...

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EE 164 Problem Set 1 Spring 2004 Problem 1 An optical ray with 0 λ of 640nm traveling through another medium measures a wavelength of 427nm. a) Find Index of refraction of the other medium ( ) 2 n 1 20 2 n n  =   Solve for 2 n ( )( ) 0 2 2 1 640 1.5 427 nm n n nm == = 2 1.5 n = b) Find the Velocity of the ray in the other medium ( ) 2 v 8 8 2 2 31 0 21 0 1.5 cm s vm s n × = × 8 2 0 s ∴ =× c) Find the angle of incident 1 θ if the angle of refraction 2 is equal to 33 ° 11 2 2 sin sin nn = () 22 1 1 1.5 sin33 sin sin 0.817 1 n n ° = 1 54.78

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Problem 2 An optical beam travels through a glass tube filled with Helium gas. If the combined attenuation due to absorption and scattering ( ) ab aa + is equal to 7.2 and the ratio of the output/input () / oi n I I intensities is 0.354, compute the length ( ) d of the tube. Solve for d ( ) as aad n II e −+ = o in I e I = ( ) ln 0.354 d = 7.2 1.038 d −= 14.4 dc m = Problem 3: A monochromatic optical ray of wavelength λ equals to 680nm is incident upon a birefringent material with refractive indices of o n equal to 1.25, e n equal to 1.5 and
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EE 164 Problem Set 1 Solution - EE 164 Problem 1 Problem...

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