Home / Examples / Electromagnetic Analysis [Hertz] / Example 11: TE-Mode Dielectric Resonator (3D)
Example 11: TE-Mode Dielectric Resonator (3D)

General
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A TE01δ-mode dielectric resonator is analyzed in 3D.
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The resonant frequencies and the electromagnetic field distribution are solved.
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Unless specified in the list below, the default conditions will be applied.
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Obtain this session's project file. (Right-click and choose 'Save link as')
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Results will vary depending on Femtet version and the PC environment.
Analysis Space
|
Item |
Settings |
|
Analysis Space |
3D |
|
Model Unit |
mm |
Analysis Conditions
|
Item |
Settings |
|
Solver |
Electromagnetic Analysis [Hertz] |
|
Analysis Type |
Resonant Analysis |
The resonant analysis is set up as follows.
|
Tab |
Setting Item |
Settings |
|
Mesh Tab |
Element Type |
2nd-order Element |
|
Resonant Analysis |
Number of Modes |
3 |
|
Approximated Frequency |
0.0E9 [Hz] |
|
|
Input Power |
1.0 [W] |
Model
A cylindrical-shaped air solid (AIR) is created. At the center, a cylindrical-shaped dielectric solid (DR) is created.
Inside the dielectric, a solid air hole (AIR) is created. In meshing,
automatic boolean operations create a dielectric resonator with a hole.

Body Attributes and Materials
|
Body Number/Type |
Body Attribute Name |
Material Name |
|
0/Solid |
AIR |
000_Air(*) |
|
1/Solid |
DR |
DR_Mat |
|
2/Solid |
AIR |
000_Air(*) |
* Available from the material DB
Relative permittivity and dieletctric tangent of DR_MAT are set up on the permittivity tab as follows.
|
Material Name |
Tab |
Properties |
|
DR_Mat |
Permittivity |
Relative Permittivity: 40 Dielectric Tangent: 0 |
Boundary Conditions
The outer boundary, that is the outer peripheral of Air, is set as the conductor wall.
|
Boundary Condition Name/Topology |
Tab |
Boundary Condition Type |
Settings |
|
Outer Boundary Condition |
Electric |
Electric |
|
Results
The resonant frequencies are output on the table.
The fundamental resonant frequency is 5.88 [Hz].
The field distributions for TE01δ mode are shown below. The electric field is at phase 0 deg. The magnetic field is at phase 90 deg.



