Rectangular waveguide

  • #1

Homework Statement



I have a rectangular, hollow, conductor. Something like this:

rectangular_waveguide_30.gif


The length in z direction should be infinite. The propagation of electromagnetic waves in the conductor are given via the equations:

Homework Equations



[itex]\Delta \vec{E} = \frac{1}{c^2} \frac{\partial^2 \vec{E}}{\partial t^2}[/itex]

[itex]\Delta \vec{B} = \frac{1}{c^2} \frac{\partial^2 \vec{B}}{\partial t^2}[/itex]

Question 1: Which boundary conditions follow for the E field? And what does that mean for the B field?

The Attempt at a Solution



Well. Since there are free charges in the conductor, the tangential component of the E field should be 0 (otherwise the charges would start to move). Which in return means the normal component of the B field must also be 0.

Is there more I could derive from this or is that it? My answer seems a bit too simplistic ...
 

Answers and Replies

Related Threads on Rectangular waveguide

  • Last Post
Replies
1
Views
1K
Replies
1
Views
573
Replies
2
Views
591
Replies
2
Views
5K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
1
Views
964
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
10
Views
3K
  • Last Post
Replies
2
Views
2K
Top