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Reflectance Equal to Transmittance

  1. May 24, 2015 #1
    1. The problem statement, all variables and given/known data
    Under what conditions would the reflectance, R, and the transmittance, T, be equal to each other at normal incidence at an interface? What would be the values of R and T under these conditions?

    2. Relevant equations
    Rs = |rs|2

    Ts = |ts|2 η2cosθt / η1cosθi

    Rs + Ts = 1

    rs = η2cosθi - η1cosθt / η2cosθi + η1cosθt

    ts = 1 + rs

    t & r = Fresnel coefficients
    R = Reflectance
    T = Transmittance
    η = refractive indicies

    3. The attempt at a solution
    I've been given these equations and the ts makes me think that there are no conditions in which transmittance can be equal to each other at normal incidence at an interface.

    The second part of this question, 'What would be the values of R and T under these conditions?' makes me think I'm wrong, but I don't understand how they could be equal...
     
  2. jcsd
  3. May 24, 2015 #2
    If you talk about light, see Brewster's angle definition.
     
  4. May 24, 2015 #3

    Simon Bridge

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    Why would the ts lead you to think there are no conditions such that R=T?
    Have you tried putting R=T in the equations and checking?
     
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