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

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Homework Statement


In the case of total internal reflection, show that the average rate of energy transport across the boundary is zero.


Homework Equations


None Provided

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.
 

Answers and Replies

  • #2
Meir Achuz
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Homework Statement


In the case of total internal reflection, show that the average rate of energy transport across the boundary is zero.


Homework Equations


None Provided

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

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