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at R+T=1i

at R+T=1i

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2. I showed in class that the reflection coefficient for TE waves is r = transmission coefficient is t = t = 2 n₁ cos B₁ Bi n₁ cos i + n₂ cos 6+ wwwww n₁ cose-n₂ cos et = and E₁ n₁ cose; + ng cos et . Further, I mentioned that the reflectivity is R = I did not, however, claim that the transmissivity is T = | because T . ' # Incident light is either reflected or transmitted. Therefore, using the concept of energy flow, we should have (S₂). = −(S) · n + (S) · ŵ, where n is the unit normal pointing from Medium 1 to Medium 2 (see sketch below). Using the formula derived in Problem 1 and r and t above, show that (S) = -(S) + (St) ŵn is indeed true. The reflectivity is actually defined as R = and the transmissivity is T = |(S)-| . Verify that R+T = 1 is also true for TM waves. | (Si)-n|* (Si) (S,-) |(S,)-n| | (Si)-| E n (St) |
Transcribed Image Text:2. I showed in class that the reflection coefficient for TE waves is r = transmission coefficient is t = t = 2 n₁ cos B₁ Bi n₁ cos i + n₂ cos 6+ wwwww n₁ cose-n₂ cos et = and E₁ n₁ cose; + ng cos et . Further, I mentioned that the reflectivity is R = I did not, however, claim that the transmissivity is T = | because T . ' # Incident light is either reflected or transmitted. Therefore, using the concept of energy flow, we should have (S₂). = −(S) · n + (S) · ŵ, where n is the unit normal pointing from Medium 1 to Medium 2 (see sketch below). Using the formula derived in Problem 1 and r and t above, show that (S) = -(S) + (St) ŵn is indeed true. The reflectivity is actually defined as R = and the transmissivity is T = |(S)-| . Verify that R+T = 1 is also true for TM waves. | (Si)-n|* (Si) (S,-) |(S,)-n| | (Si)-| E n (St) |
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