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

## Homework Statement

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

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.

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Meir Achuz
Homework Helper
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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.

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.