TM-Mode Dielectric Resonatorexamples|products|Murata Software Co., Ltd.

Example1 TM-Mode Dielectric Resonator

General

  • The model is a TM-mode dielectric resonator.
     

  • It is analyzed by the electromagnetic waves-thermal-mechanical stress analysis.
     

  • 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]

Thermal Analysis [Watt]

Mechanical Stress Analysis [Galileo]

Analysis Type

Electromagnetic waves analysis: Resonant analysis

Thermal analysis: Steady-state analysis

Mechanical stress analysis: Static 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.

xx

* “Thermal Load” is selected by default for the thermal load-mechanical stress coupled analysis.

 

 

The resonant analysis is set up as follows.

Tabs

Setting Item

Settings

Mesh Tab

Mesh Size

2.0

Element type

2nd-order element

Adaptive mesh

Off (to shorten the calculation time)

Frequency-Dependent Meshing

Reference frequency: 1.0×10^9[Hz]

Resonant analysis

Number of modes

3

Input power

10[W] *

Calculate the Q factor with high accuracy

Select

 

* The losses in electrodes and dielectric material are taken into account.

Therefore, all the input power is to be consumed in the resonator.

 

Model

Electrodes are set on the top and bottom faces of the dielectric disc.

The temperature and the displacement are fixed at the bottom electrode.

 

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

Dielectric material

Dielectric material

1/Solid

Electrode

008_Cu *

2/Solid

Electrode

008_Cu *

* Available from the Material DB

 

Material Name

Tab

Properties

Dielectric material

Permittivity

Relative Permittivity: 40

tanD: 0.001

Thermal Conductivity

10[W/m/deg]

Coefficient of Expansion

10×10^-6[1/deg]

Elasticity

Young’s modulus: 1×10^9[Pa]

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Bottom/Face

Thermal

Temperature

25[deg]

Mechanical

Displacement

Select UX, UY, and UZ all.

The displacement is 0[m] for all.

Results

The vectors of the electric fields resulting from the electromagnetic waves analysis [Hertz] are shown below.

 

Mode 0:

 

Mode 1:

The electric field in the center is peaked and bottomed in Modes 0 and 1 respectively.

 

The next figures show the results of thermal analysis [Watt].

 

Mode 0:

 

Mode 1:

The temperature rise is high at the area where the electric field is concentrating.

It is dependent on the distribution of the electromagnetic field.

 

The next figure shows the vectors of displacement as a result of Galileo following Watt.

 

Mode 0:

 

Mode 1:

The deformation is dependent on the distribution of the electromagnetic field.