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- Waveguide -
 

See the online cavity resonance calculator here.
Click here to go to waveguide selection chart.

Rectangular Waveguide

Cutoff Frequency

The lower cutoff frequency (or wavelength) for a particular mode in rectangular waveguide is determined by the following equations:

(Hz)

(m)

where

a=
b=
m=
n=
e =
m =

Inside width
Inside height
Number of ½-wavelength variations of fields in the "a" direction
Number of ½-wavelength variations of fields in the "b" direction
Permittivity
Permeability
TE (Transverse Electric) Mode
The TE10 mode is the dominant mode of a rectangular waveguide with a>b, since it has the lowest attenuation of all modes. Either m or n can be zero, but not both.


End View (TE10)

 
Side View (TE10)


Top View (TE10)

 ____ Electric field lines
   _ _ _ Magnetic field lines

TM (Transverse Magnetic) Mode
 For TM modes, m=0 and n=0 are not possible, thus, TM11 is the lowest possible TM mode.


End View (TM11)

 
Side View (TM11)

 ____ Electric field lines
   _ _ _ Magnetic field lines

 

 Circular Waveguide

TE (Transverse Electric) Mode

The lower cutoff frequency (or wavelength) for a particular TE mode in circular waveguide is determined by the following equation:

(m),

where p'mn is

m p'm1 p'm2 p'm3
0 3.832 7.016 10.174
1 1.841 5.331 8.536
2 3.054 6.706 9.970

TM (Transverse Magnetic) Mode

The lower cutoff frequency (or wavelength) for a particular TM mode in circular waveguide is determined by the following equation:

(m),

 

where pmn is

m pm1 pm2 pm3
0 2.405 5.520 8.654
1 3.832 7.016 10.174
2 5.135 8.417 11.620