Example12 TE-Mode Dielectric Resonator (2D)

General

  • Exercise 11’s TE01δ-mode dielectric resonator is analyzed with axisymmetric modeling.
     

  • 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

Axisymmetric

Model unit

mm

 

Analysis Conditions

Item

Settings

Solvers

Electromagnetic Analysis [Hertz]

Analysis Type

Resonant analysis

Transverse Mode

TE

Options

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

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

xx

 

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[Hz]

Input power

1.0[W]

Model

The model is basically a section of Exercise 11’s model. DR is a sheet body, a section of dielectric resonator. It is surrounded with rectangular AIR.

The resonator’s hole is represented by another rectangular AIR.

The boolean operation will be performed during the meshing automatically, and the model is recognized as a section of the holed resonator.

The “electric wall” boundary condition is set on the axis of symmetry.

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Sheet

AIR

000_Air(*)

1/Sheet

DR

DR_Mat

2/Sheet

AIR

000_Air(*)

3/Wire

Imprinting body

 

* 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 electric wall is set up around the air.

The “electric wall” boundary condition is set on the axis of symmetry.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

EW/Edge

Electric

Electric wall

 

Outer Boundary Condition

Electric

Electric wall

 

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

On the [Results] tab,
 


 

select 0[deg] at Phase .
 

The magnetic field

On the [Results] tab,
 


 

select 90[deg] at Phase .