next up previous contents
Next: Contents

TE Modes in a Rectangular Waveguide

Dan McCoy
and
Matthew Beyer

May 8, 1997

Abstract:

This project explores the behavior of electromagnetic plane waves confined to a hollow pipe (waveguide), rectangular in shape. We consider the walls of the waveguide to be perfectly conducting. This allows us to consider the parallel component of tex2html_wrap_inline144 and the perpendicular component of tex2html_wrap_inline146 to be equal to zero at the inner wall of the waveguide. Using these boundary conditions, it is possible to derive a relationship for transverse electric (TE) waves propagating down the waveguide. The equation for TE waves has a number of solutions, called modes, which are differentiated by a corresponding eigenvalue. These modes are graphically depicted in figures to follow. It can be seen, through an analysis of the angular frequency and wavenumber, that only waves of a certain frequency can propagate down the waveguide. Also, the energy, and hence the information, carried by the wave, travels at a specific group velocity, given in terms of angular frequency. Wave phenomenon confined to a rectangular waveguide is therefore described in terms of mode, cut off frequency, and group velocity.




next up previous contents
Next: Contents

Electromagnetism
Thu May 8 10:47:29 EDT 1997