Example23 Mixed-Mode S-Parameters Analysis of Balanced Line

General

  • The characteristics of a balanced line are analyzed.

 

  • The mixed-mode S-parameters are solved.

 

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

 

 

Analysis Space

Item

Setting

Analysis Space

3D

Modelunit

mm

 

Analysis Conditions

Item

Setting

Solver

Electromagnetic Analysis [Hertz]

Analysis Type

Harmonic analysis

Options for Electromagnetic Analysis

Select Propagation mode transformation.

 

Mesh, harmonic analysis, and open boundary are set as follows.

Tab

Setting Item

Setting

Mesh

Frequency-Dependent Meshing

Reference frequency: 1×10^10[Hz]

Select “The conductor bodies thicker than the skin depth constitute the boundary condition.”

Harmonic Analysis

Frequency

Minimum: 0.1×10^9[Hz]

Maximum: 5×10^9[Hz]

Sweep Type

Select Linear step by division number.

Division number: 10

Sweep Setting

Select discrete sweep

Input

1.0[W]

Open Boundary

Type

Absorbing boundary

Order of Absorbing Boundary

1st degree

 

Graphical Objects

Two electrodes are created on a substrate. They function as a balanced line.

They are covered with rectangle air space.

Air and ports at both ends of the substrate are set as in the diagram below.
Set two integral paths (PATH1 and PATH2) connecting two electrodes and the bottom of the substrate.
The bottom of the substrate contacts the electric wall outer boundary condition.

 

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

SUBSTRATE

006_Glass_epoxy *

1/Solid

AIR

000_Air(*)

2/Solid

LINE

003_Ag *

3/Solid

LINE

003_Ag *

5/Sheet

Imprinting body

 

6/Sheet

Imprinting body

 

(*) Available from the Material DB

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Setting

Port_001/Face

Electric

I/O Port

Integral Path:

  • Set PATH1 and PATH2 as shown in the diagram above.

  • Set PATH1 and PATH2 for differential pair. *1

Reference Impedance:

  • Select Specify

  • Select Differential impedance *2

  • 100 [Ω]

Number of Modes

  • number of precalculated modes: 5

  • number of modes used in the 3D analysis:
    select Automatic setting.

Port_002/Face

Electric

I/O Port

Same as above.

Outer Boundary Condition

Electric

Electric wall

 

*1) Click [Differential pair] button while selecting PATH1 and PATH2.
The integral path in the same differential pair will be given the same number like “1” following the integral path name.

*2) Differential impedance can be selected if the differential pair is set.

Results

1. Propagation Mode

Select Port for [Analysis type]. From [Mode], select 5GHz which is the maximum analysis frequency.
As the number of modes to precalculate is set to 5,
five propagation modes are calculated for one frequency.
The diagram below shows the electric fields of five propagation modes calculated at PORT1 with 5GHz.

A part of the Propagation constant dialog box is also shown at the bottom of each picture in the diagram below.
Propagation constant dialog box can be opened from Mode Information of the [Chart] button.

Mode

Differential Mode Analysis

50: 5.000000e+09Hz: (0)

PORT1 p1m1

51: 5.000000e+09Hz: (1)

PORT1 p1m2

52: 5.000000e+09Hz: (2)

PORT1 Not used

53: 5.000000e+09Hz: (3)

PORT1 Not used

54: 5.000000e+09Hz: (4)

PORT1 Not used

You can tell that the differential mode is calculated first, and then the common mode is calculated at PORT1.
The third mode is not used in the 3D analysis as the Propagation constant dialog box shows “Not used”.

Please confirm that the differential and common modes are used in the 3D analysis also at PORT2.

2. S-Parameters

Click [SYZ Matrix] of the [Chart] button. SYZ Matrix dialog box will show up.
Select your desired component and click the [XY Graph] button.
Mixed-mode S-parameters graph will appear as in the diagram below.

As shown in the Port Index of the SYZ Matrix dialog box, suffixes of S-parameters indicate the ports as follows.

Number

Port: Mode

1

PORT1:DIFF(PATH1,PATH2)

2

PORT1:COM(PATH1,PATH2)

3

PORT2:DIFF(PATH1,PATH2)

4

PORT2:COM(PATH1,PATH2)

“DIFF” means differential mode and “COM” means common mode.