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Resonant Frequencies of a Cylindrical Enclosure


Parameters

Input

Length (L)

Radius (r)

Relative permittivity: εr =

 


TE Resonances (Hz)

f111 =

f113 =

f011 =

f012 =

f112 =

f021 =

f022 =

f121 =

f211 =

f212 =

f213 =

f221 =


TM Resonances (Hz)

f010 =

f011 =

f110 =

f111 =

f012 =

f020 =

f021 =

f022 =

f120 =

f121 =

f030 =

f211 =

f212 =

f210 =

f220 =


Instructions: Specify the length and radius of the enclosure interior. If the cavity is filled with a dielectric, you can specify the relative permittivity.

Cylindrical Enclosure with radius R and length L
Cylindrical Enclosure Resonance Equations

In cylindrical cavities, TE and TM resonances are calulated using different formulas defined in terms of Bessel functions, Jm(Xmn) = 0 and J'm(X'mn) = 0.

Values of Xmn for TM Modes

m
Xm1
Xm2
Xm3
0
2.405
5.520
8.654
1
3.832
7.016
10.174
2
5.135
8.417
11.620

Values of X'mn for TE Modes

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

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