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E&M: Energy Transported over medium w/ total internal reflection

  1. Feb 25, 2007 #1
    1. The problem statement, all variables and given/known data
    In the case of total internal reflection, show that the average rate of energy transport across the boundary is zero.

    2. Relevant equations
    None Provided

    3. The attempt at a solution

    All that I have come to is that I should use some form of the following method to find the time average of a product:

    <fg> = (1/2)Re<fg*> ....(fg on the RHS can have real and/or imaginary parts)

    I am quite lost on this problem and have hit a brick wall for this hw problem. Any help is appreciated, thank you.
  2. jcsd
  3. Feb 27, 2007 #2

    Meir Achuz

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    Science Advisor
    Homework Helper
    Gold Member

    The wave number in the material is purely imaginary for TIR,
    so Re(E*B)=0.
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