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33 - Reflection and Refraction

# 33 - Reflection and Refraction - Physics 212 Fall 2009...

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Physics 212 Fall 2009 Reflection and Refraction

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Summary Electromagnetic Wave E ( x , t ) = E m sin( kx ω t ) B ( x , t ) = B m sin( kx ω t ) E m = cB m c = ω k = λ f = 1 μ 0 ε 0 EM Waves carry energy and momentum E rms = E m 2 I = E rms 2 μ 0 c P = F Δ A = (2) I c EM Waves can be polarized
Reflection and Refraction θ 1 = θ 1 relection n 1 sin θ 1 = n 2 sin θ 2 refraction Lots of new jargon ray, normal, interface, plane of incidence, index of refraction...

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Example A light ray strikes an air/water surface at an angle of 46º wrt the normal. The refractive index of water is 1.33. Find the angle of refraction when the direction of the ray is from (a) air to water and (b) from water to air. n 2 >n 1 Bent toward the normal sin θ 2 = n 1 sin θ 1 n 2 = (1.0)sin(46 ° ) 1.33 = 0.53 θ 2 = sin 1 (0.54) = 33 ° n 2 <n 1 Bent away from the normal sin θ 2 = n 1 sin θ 1 n 2 = (1.33)sin(46 ° ) 1.00 = 0.96 θ 2 = sin 1 (0.96) = 74 ° n 1 sin θ 1 = n 2 sin θ 2 Snell’s Law
Index of Refraction n = c v n=speed of light in vacuum / speed of light in the medium Waves slow down when they enter a medium with higher index of refraction v = c n

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