• Support PF! Buy your school textbooks, materials and every day products Here!

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

  • Thread starter astrosag
  • Start date
  • #1
1
0

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
Science Advisor
Homework Helper
Gold Member
2,177
69

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.
 

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

Replies
0
Views
3K
Replies
0
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
7
Views
1K
Replies
2
Views
2K
Replies
4
Views
576
  • Last Post
Replies
4
Views
5K
Replies
3
Views
972
Replies
1
Views
911
  • Last Post
Replies
2
Views
5K
Top