wilkinsonSplitterUnequal

Create unequal Wilkinson splitter

Since R2021b

Description

Use the wilkinsonSplitterUnequal object to create an unequal Wilkinson power splitter. You can use the unequal Wilkinson splitter to divide power unequally between two output ports. Unequal splitters are also used to feed power to antenna arrays for beam shaping.

Three part image from right to left: Default image of an unequal Wilkinson splitter. Current distribution on the unequal Wilkinson splitter. S-parameters plot of the unequal Wilkinson splitter.

To analyze the behavioral model for the unequal Wilkinson power splitter, set the Behavioral property in the sparameters to true or 1.

Creation

Syntax

splitter = wilkinsonSplitterUnequal

splitter = wilkinsonSplitterUnequal(Name=Value)

Description

splitter = wilkinsonSplitterUnequal creates an unequal Wilkinson splitter with default properties for a resonating frequency of 1 GHz.

example

splitter = wilkinsonSplitterUnequal(Name=Value) sets Properties using one or more name-value arguments. For example, wilkinsonSplitterUnequal(PortLineLength=0.0300) creates a Wilkinson splitter with an input and output line length of 0.0300 meters. Properties not specified retain their default values.

example

Properties

expand all

`PortLineLength` — Length of input and output line
`0.0070` (default) | positive scalar

Length of the input and the output line in meters, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(PortLineLength=0.0070)

Data Types: double

`PortLineWidth` — Width of input and output line
`0.0051` (default) | positive scalar

Width of the input and the output line in meters, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(PortLineWidth=0.0070)

Data Types: double

`SplitLineLength` — Length of 70-ohm line
`0.0279` (default) | positive scalar

Length of the 70-ohm line in meters, specified as a positive scalar. The typical length of a Wilkinson splitter is λ/4.

Example: splitter = wilkinsonSplitterUnequal(SplitLineLength=0.0570)

Data Types: double

`SplitLineWidth` — Width of 70-ohm line
`[0.0014 0.0049]` (default) | two-element vector

Width of the 70-ohm line in meters, specified as a two-element vector of positive elements.

Example: splitter = wilkinsonSplitterUnequal(SplitLineWidth=[0.00780 0.00890])

Data Types: double

`MatchLineLength` — Length of output matching line
`0.0277` (default) | positive scalar

Length of the output matching line in meters, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(MatchLineLength=0.0780)

Data Types: double

`MatchLineWidth` — Width of output matching line
`[0.0039 0.0066]` (default) | two-element vector

Width of the output matching line in meters, specified as a two-element vector of positive elements.

Example: splitter = wilkinsonSplitterUnequal(MatchLineWidth=[0.0049 0.0076])

Data Types: double

`ResistorLength` — Length of resistor in meters
`0.0020` (default) | positive scalar

Length of the resistor in meters, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(ResistorSLength=0.0050)

Data Types: double

`Resistance` — Resistance value
`106` (default) | positive scalar

Resistance value in ohms, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(Resistance=50)

Data Types: double

`Height` — Height of Wilkinson splitter from ground plane
`0.0016` (default) | positive scalar

Height of the Wilkinson splitter from the ground plane in meters, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(Height=0.0076)

Data Types: double

`GroundPlaneWidth` — Width of ground plane in meters
`0.0300` (default) | positive scalar

Width of the ground plane in meters, specified as a positive scalar.

Example: splitter = wilkinsonSplitterUnequal(GroundPlaneWidth=0.046)

Example: double

`Substrate` — Type of dielectric material
`dielectric` object

Type of dielectric material used as a substrate, specified as a dielectric object. The dielectric material in a wilkinsonSplitterUnequal object with default properties is Teflon. The thickness of the default dielectric material Teflon is 0.0016 m or the same value as the Height property.

Example: d = dielectric("FR4"); splitter = wilkinsonSplitterUnequal(Substrate=d)

Data Types: string | char

`Conductor` — Type of metal used in conducting layers
`metal` object

Type of metal used in the conducting layers, specified as a metal object. The type of metal in a wilkinsonSplitterUnequal object with default properties is Copper.

Example: m = metal("PEC"); splitter = wilkinsonSplitterUnequal(Conductor=m)

Data Types: string | char

Object Functions

`charge`	Calculate and plot charge distribution
`current`	Calculate and plot current distribution
`design`	Design unequal Wilkinson splitter around specified frequency
`feedCurrent`	Calculate current at feed port
`layout`	Plot all metal layers and board shape
`mesh`	Change and view mesh properties of metal or dielectric in PCB component
`shapes`	Extract all metal layer shapes of PCB component
`show`	Display PCB component structure or PCB shape
`sparameters`	Calculate S-parameters for RF PCB objects

Examples

collapse all

Create Default Unequal Wilkinson Splitter

Open Live Script

Create and view a default unequal Wilkinson splitter.

splitter = wilkinsonSplitterUnequal

splitter = 
  wilkinsonSplitterUnequal with properties:

      PortLineLength: 0.0070
       PortLineWidth: 0.0051
     SplitLineLength: 0.0279
      SplitLineWidth: [0.0014 0.0049]
     MatchLineLength: 0.0277
      MatchLineWidth: [0.0039 0.0066]
      ResistorLength: 0.0020
          Resistance: 106
              Height: 0.0016
    GroundPlaneWidth: 0.0300
           Substrate: [1x1 dielectric]
           Conductor: [1x1 metal]

show(splitter)

Figure contains an axes object. The axes object with title wilkinsonSplitterUnequal element, xlabel x (mm), ylabel y (mm) contains 8 objects of type patch, surface. These objects represent PEC, feed, Teflon, load.

Calculate and plot the S-parameters of the splitter at 3 GHz.

spar=sparameters(splitter,3e9);
figure
rfplot(spar);

$Figure contains an axes object. The axes object with xlabel Frequency (GHz), ylabel Magnitude (dB) contains 9 objects of type line. These objects represent dB(S_{11}), dB(S_{21}), dB(S_{31}), dB(S_{12}), dB(S_{22}), dB(S_{32}), dB(S_{13}), dB(S_{23}), dB(S_{33}).$

Create Multilayer Unequal Wilkinson Splitter

Open Live Script

Create and view a multilayer unequal Wilkinson splitter.

sub =  dielectric(Name=["Teflon","Teflon"],EpsilonR=[2.1 2.1], ...
    LossTangent=[0 0],Thickness=[0.8e-3 0.8e-3]);
unsplitter = wilkinsonSplitterUnequal(Height=0.8e-3,Substrate=sub);
show(unsplitter)

Figure contains an axes object. The axes object with title wilkinsonSplitterUnequal element, xlabel x (mm), ylabel y (mm) contains 9 objects of type patch, surface. These objects represent PEC, feed, Teflon, load.

Plot the charge and current on this splitter at 3 GHz.

figure
charge(unsplitter,3e9)

Figure contains an axes object. The axes object with title Charge distribution, xlabel x (m), ylabel y (m) contains 4 objects of type patch.

figure
current(unsplitter,3e9)

Figure contains an axes object. The axes object with title Current distribution, xlabel x (m), ylabel y (m) contains 4 objects of type patch.

References

[1] Pozar, David M. Microwave Engineering. 4th ed. Hoboken, NJ: Wiley, 2012.

Version History

Introduced in R2021b

expand all

R2022b: Behavioral Analysis for Unequal Wilkinson Power Splitter

Use the sparameters function and the pcbElement object to perform the behavioral analysis of an unequal Wilkinson power splitter.

wilkinsonSplitterUnequal

Description

Creation

Syntax

Description

Properties

`PortLineLength` — Length of input and output line
`0.0070` (default) | positive scalar

`PortLineWidth` — Width of input and output line
`0.0051` (default) | positive scalar

`SplitLineLength` — Length of 70-ohm line
`0.0279` (default) | positive scalar

`SplitLineWidth` — Width of 70-ohm line
`[0.0014 0.0049]` (default) | two-element vector

`MatchLineLength` — Length of output matching line
`0.0277` (default) | positive scalar

`MatchLineWidth` — Width of output matching line
`[0.0039 0.0066]` (default) | two-element vector

`ResistorLength` — Length of resistor in meters
`0.0020` (default) | positive scalar

`Resistance` — Resistance value
`106` (default) | positive scalar

`Height` — Height of Wilkinson splitter from ground plane
`0.0016` (default) | positive scalar

`GroundPlaneWidth` — Width of ground plane in meters
`0.0300` (default) | positive scalar

`Substrate` — Type of dielectric material
`dielectric` object

`Conductor` — Type of metal used in conducting layers
`metal` object

Object Functions

Examples

Create Default Unequal Wilkinson Splitter

Create Multilayer Unequal Wilkinson Splitter

References

Version History

R2022b: Behavioral Analysis for Unequal Wilkinson Power Splitter

See Also

Topics

wilkinsonSplitterUnequal

Description

Creation

Syntax

Description

Properties

PortLineLength — Length of input and output line 0.0070 (default) | positive scalar

PortLineWidth — Width of input and output line 0.0051 (default) | positive scalar

SplitLineLength — Length of 70-ohm line 0.0279 (default) | positive scalar

SplitLineWidth — Width of 70-ohm line [0.0014 0.0049] (default) | two-element vector

MatchLineLength — Length of output matching line 0.0277 (default) | positive scalar

MatchLineWidth — Width of output matching line [0.0039 0.0066] (default) | two-element vector

ResistorLength — Length of resistor in meters 0.0020 (default) | positive scalar

Resistance — Resistance value 106 (default) | positive scalar

Height — Height of Wilkinson splitter from ground plane 0.0016 (default) | positive scalar

GroundPlaneWidth — Width of ground plane in meters 0.0300 (default) | positive scalar

Substrate — Type of dielectric material dielectric object

Conductor — Type of metal used in conducting layers metal object

Object Functions

Examples

Create Default Unequal Wilkinson Splitter

Create Multilayer Unequal Wilkinson Splitter

References

Version History

R2022b: Behavioral Analysis for Unequal Wilkinson Power Splitter

See Also

Topics

`PortLineLength` — Length of input and output line
`0.0070` (default) | positive scalar

`PortLineWidth` — Width of input and output line
`0.0051` (default) | positive scalar

`SplitLineLength` — Length of 70-ohm line
`0.0279` (default) | positive scalar

`SplitLineWidth` — Width of 70-ohm line
`[0.0014 0.0049]` (default) | two-element vector

`MatchLineLength` — Length of output matching line
`0.0277` (default) | positive scalar

`MatchLineWidth` — Width of output matching line
`[0.0039 0.0066]` (default) | two-element vector

`ResistorLength` — Length of resistor in meters
`0.0020` (default) | positive scalar

`Resistance` — Resistance value
`106` (default) | positive scalar

`Height` — Height of Wilkinson splitter from ground plane
`0.0016` (default) | positive scalar

`GroundPlaneWidth` — Width of ground plane in meters
`0.0300` (default) | positive scalar

`Substrate` — Type of dielectric material
`dielectric` object

`Conductor` — Type of metal used in conducting layers
`metal` object