Example11 TE-Mode Dielectric Resonator(3D)

General

  • A TE01δ-mode dielectric resonator is analyzed in 3D.
     

  • The resonant frequencies and the electromagnetic field distribution are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

 

Item

Settings

Analysis Space

3D

Model unit

mm

Analysis Conditions

Item

Settings

Solver

Electromagnetic Analysis [Hertz]

Analysis Type

Resonant analysis

Options

Select “Ignore the influence of face/edge electrode thickness” *

* This is the default setting. There are no face electrodes with this model. Therefore it is irrelevant to select it or not.

 

The resonant analysis is set up as follows.

Tabs

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 holed dielectric cylinder (DR) is placed in the air cylinder (AIR).
The hole is another air cylinder (AIE). The boolean operation will be performed during the meshing automatically.
Therefore, the model will be recognized as a holed cylinder.

 

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

 

The material property of DR_MAT is set up on the permittivity tab as follows.

Material Name

Tab

Properties

DR_Mat

Permittivity

Relative permittivity: 40

tanD: 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.