fresnel - Physics 8.03 Vibrations and Waves November 16,...

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± ± Physics 8.03 Vibrations and Waves November 16, 2004 Snell’s law: n 1 sinθ 1 = n 2 sinθ 2 . This holds in general: sound waves, water waves, E&M waves. Snell’s law is not the result of Maxwell’s equations. The following equations (the Fresnel eqs.) are the result of Maxwell’s eqs.; θ 1 and θ 2 are connected through Snell’s law. r ± = E 0 r ± /E 0 i ± = n 1 cosθ 2 n 2 cosθ 1 n 1 cosθ 2 + n 2 cosθ 1 = tan ( θ 1 θ 2 ) tan ( θ 1 + θ 2 ) (1) r = E 0 r /E 0 i = n 1 cosθ 1 n 2 cosθ 2 n 1 cosθ 1 + n 2 cosθ 2 = sin ( θ 1 θ 2 ) sin ( θ 1 + θ 2 ) (2) t ± = E 0 t ± /E 0 i ± = 2 n 1 cosθ 1 n 1 cosθ 2 + n 2 cosθ 1 = 2 sinθ 2 cosθ 1 sin ( θ 1 + θ 2 ) cos ( θ 1 θ 2 ) (3) t = E 0 t /E 0 i = 2 n 1 cosθ 1 n 1 cosθ 1 + n 2 cosθ 2 = 2 sinθ 2 cosθ 1 sin ( θ 1
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This note was uploaded on 04/22/2011 for the course PHYS 1441 taught by Professor White during the Spring '08 term at UT Arlington.

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fresnel - Physics 8.03 Vibrations and Waves November 16,...

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