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hw8_p5406_s10

# hw8_p5406_s10 - HW 8 Phys5406 S10 due 1 A monochrmatic...

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HW 8 Phys5406 S10 due 4/8/10 1) A monochrmatic plane, unpolarized electro-magnetic wave of angular freqency ω is mov- ing as in the diagram on page 277 of my notes. Calculate the fraction of the intensity transmitted from the Poynting vectors and show that this equals 1-R, where R is the frac- tion of the intensity reflected. 2) The situation is that of problem 1, except the incident and transmitted media are non- magnetic. Consider two cases: a) n = 1 , n = 1 . 5 and b) n = 1 . 5 , n = 1. For each case graph as a function of incident angle, θ (0 , π/ 2), the following: i) the transmitted angle, θ , ii) the reflection coefficients, R bardbl , R , iii) the transmission coefficients, T bardbl , T , iv) the fraction of the intensity transmitted, v) pick out θ B and if any θ c from the graphs, vi) in terms of R bardbl , R , what would these quantities be if the wave was traveling from the transmission to incident region with reversed wave vector, vii) in case b where the incident angle is larger than the critical angle, cos θ

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hw8_p5406_s10 - HW 8 Phys5406 S10 due 1 A monochrmatic...

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