Hey guys. I'm trying to comprehend the TE(adsbygoogle = window.adsbygoogle || []).push({}); _{mn}EM fields in wave guides. I've gone through the derivation, using Pozar's microwave textbook, and for the most part it's straight forward. I am having a hard time though determining what the effect of the imaginary factor in the field equations are.

Here is the simplest case, a TE_{10}wave propagating in the z direction, with a picture of the waveguide dimentions and the E field as I would imagine it to be.

The E and H fields are given as:

E[itex]_{y}[/itex] = [itex]\frac{-jωμm\pi}{k^{2}a}[/itex] A sin[itex]\frac{mx\pi}{a}[/itex] e[itex]^{-jβz}[/itex]

H[itex]_{x}[/itex] = [itex]\frac{jβm\pi}{k^{2}a}[/itex] A sin[itex]\frac{mx\pi}{a}[/itex] e[itex]^{-jβz}[/itex]

I understand there is a dependency on z from the e[itex]^{-jβz}[/itex] factor.

I also understand there is a time and frequency dependancy (not shown) from e[itex]^{jωt}[/itex] factor.

But what I'm really trying to understand is, how does the factor, [itex]\frac{-jωμm\pi}{k^{2}a}[/itex] , effect the fields?

I'm not sure how I should tread the imaginary factor in this case.

Thanks a lot.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Imaginary factor in WAVE guide TE field

**Physics Forums | Science Articles, Homework Help, Discussion**