Waveguide of travelling waves

Homework Statement

How to solve this problem?

An air-fi lled waveguide of rectangular cross-section (1 cm x 2 cm) is used to
carry EM waves at a frequency of 10 GHz.
Show that only the TE01 mode can be used?

I tried to find the cut-off frequency ( 7.5GHZ) and is that enough to prove that only TE01 can be used?

rude man
Homework Helper
Gold Member

Homework Statement

How to solve this problem?

An air-filled waveguide of rectangular cross-section (1 cm x 2 cm) is used to
carry EM waves at a frequency of 10 GHz.
Show that only the TE01 mode can be used?

I tried to find the cut-off frequency ( 7.5GHZ) and is that enough to prove that only TE01 can be used?

Use the formula for cutoff frequency fc(m,n,a,b) where m,n are the mode descriptors Tmn and a and b are the waveguide dimensions. Then show that the only possible mode is TE01. Remember to distinguish between a and b with respect to the cutoff formula.

PS the TM01 mode requires one extra step beyond just using the fc formula.

Last edited: