# Coplanar Waveguide Transmission Line

Model coplanar waveguide transmission line

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• RF Blockset / Equivalent Baseband / Transmission Lines

## Description

The Coplanar Waveguide Transmission Line block models the coplanar waveguide transmission line described in the block dialog box in terms of its frequency-dependent S-parameters. A coplanar waveguide transmission line is shown in cross-section in the following figure. Its physical characteristics include the conductor width (w), the conductor thickness (t), the slot width (s), the substrate height (d), and the relative permittivity constant (ε).

## Parameters

expand all

### Main

Physical width of the conductor of the coplanar waveguide, specified as a scalar in meters.

Physical width of the slot of the coplanar waveguide, specified as a scalar in meters.

Thickness of the dielectric on which the conductor resides in the coplanar waveguide, specified as a scalar in meters.

Physical thickness of the conductor in which wave propagates.

Relative permittivity of the dielectric, expressed as the ratio of the permittivity of the dielectric to permittivity in free space ε0, specified as a scalar.

Loss tangent of the dielectric, specified as a scalar.

Conductivity of the conductor, specified as a scalar in siemens per meter. Conductivity measures the ease with which current flows in the conductor.

Physical length of the transmission line, specified in meters.

The block enables you to model the transmission line as a stub or as a stubless line.

#### Stubless Transmission Line

• `Not a stub`Not a stub

If you model a coaxial transmission line as stubless line, the Coaxial Transmission Line block first calculates the ABCD-parameters at each frequency contained in the modeling frequencies vector. It then uses the `abcd2s` function to convert the ABCD-parameters to S-parameters. For more info, see Stub Mode- Not a stub.

#### Shunt Transmission Line

• `Shunt`—This parameter provides a two-port network that consists of a stub transmission line that you can terminate with either a short circuit or an open circuit as shown in these diagrams.

Zin is the input impedance of the shunt circuit. The ABCD-parameters for the shunt stub are calculated as

`$\begin{array}{c}A=1\\ B=0\\ C=1/{Z}_{in}\\ D=1\end{array}$`

#### Series Transmission Line

• `Series`—This mode parameter provides a two-port network that consists of a series transmission line that you can terminate with either a short circuit or an open circuit as show in these diagrams.

Zin is the input impedance of the series circuit. The ABCD-parameters for the series stub are calculated as

`$\begin{array}{c}A=1\\ B={Z}_{in}\\ C=0\\ D=1\end{array}$`

Stub termination for stub modes `Shunt` and `Series`. Choices are `Open` or `Short`

#### Dependencies

To enable this parameter, select `Shunt` or `Series` in Stub mode

### Visualization

Frequency data source, specified as `User-specified`.

Frequency data range, specified as a vector in hertz.

Reference impedance, specified as a nonnegative scalar in ohms.

Type of data plot to visualize using the given data, specified as one of the following:

• `X-Y plane` — Generate a Cartesian plot of the data versus frequency. To create linear, semilog, or log-log plots, set the Y-axis scale and X-axis scale accordingly.

• `Composite data` — Plot the composite data. For more information, see Create Plots.

• `Polar plane` — Generate a polar plot of the data. The block plots only the range of data corresponding to the specified frequencies.

• `Z smith chart`, ```Y smith chart```, and `ZY smith chart` — Generate a Smith® chart. The block plots only the range of data corresponding to the specified frequencies.

Type of parameters to plot, specified as one of the following.

 `S11` `S12` `S21` `S22` `GroupDelay` `GammaIn` `GammaOut` `VSWRIn` `VSWROut` `OIP3` `IIP3` `NF` `NFactor` `NTemp` `TF1` `TF2` `TF3` `Gt` `Ga` `Gp` `Gmag` `Gmsg` `GammaMS` `GammaML` `K` `Delta` `Mu` `MuPrime`

Note

Y parameter1 is disabled when you select Plot type to `Composite data`.

Type of parameters to plot, specified as one of the following.

 `S11` `S12` `S21` `S22` `GroupDelay` `GammaIn` `GammaOut` `VSWRIn` `VSWROut` `OIP3` `IIP3` `NF` `NFactor` `NTemp` `TF1` `TF2` `TF3` `Gt` `Ga` `Gp` `Gmag` `Gmsg` `GammaMS` `GammaML` `K` `Delta` `Mu` `MuPrime`

Note

Y parameter2 is disabled when you select Plot type to `Composite data`.

Plot format, specified as one of the following.

Y parameter1Y format1
`S11`, `S12`, `S21`, `S22`, `GammaIn`, `GammaOut`, `TF1`, `TF2`, `TF3`, `GammaMS`, `GammaML`, and `Delta`.`dB`, `Magnitude (decibels)`, `Abs`, `Mag`, `Magnitude (linear)`, `Angle`, `Angle(degrees)`, `Angle(radians)`, `Real`, `Imag`, and `Imaginary`.
`GroupDelay``ns`, `us`, `ms`, `s`, and `ps`.
`VSWRIn` and `VSWROut`.`Magnitude (decibels)` and `None`.
`OIP3` and `IIP3`.`dBm`, `W`, and `mW`.
`NF` `dB` and `Magnitude (decibels)`.
`NFactor`, `K`, `Mu`, and `MuPrime`.`None`
`NTemp``Kelvin`
`Gt`, `Ga`, `Gp`, `Gmag`, and `Gmsg`.`dB`, `Magnitude (decibels)`, and `None`.

#### Dependencies

To enable Y format1, set Plot type to `X-Y plane`.

Plot format, specified as one of the following.

Y parameter2Y format2
`S11`, `S12`, `S21`, `S22`, `GammaIn`, `GammaOut`, `TF1`, `TF2`, `TF3`, `GammaMS`, `GammaML`, and `Delta`.`dB`, `Magnitude (decibels)`, `Abs`, `Mag`, `Magnitude (linear)`, `Angle`, `Angle(degrees)`, `Angle(radians)`, `Real`, `Imag`, and `Imaginary`.
`GroupDelay``ns`, `us`, `ms`, `s`, and `ps`.
`VSWRIn` and `VSWROut`.`Magnitude (decibels)` and `None`.
`OIP3` and `IIP3`.`dBm`, `W`, and `mW`.
`NF` `dB` and `Magnitude (decibels)`.
`NFactor`, `K`, `Mu`, and `MuPrime`.`None`
`NTemp``Kelvin`
`Gt`, `Ga`, `Gp`, `Gmag`, and `Gmsg`.`dB`, `Magnitude (decibels)`, and `None`.

#### Dependencies

To enable Y format2, set Plot type to `X-Y plane`.

Frequency plot, specified as `Freq`.

Frequency plot format, specified as one of the following.

 `Auto` `Hz` `kHz` `MHz` `GHz` `THz`

Y-axis scale, specified as `Linear` or `Log`.

#### Dependencies

To enable this parameter, set Plot type to ```X-Y plane```.

X-axis scale, specified as `Linear` or `Log`.

#### Dependencies

To enable this parameter, set Plot type to ```X-Y plane```.

Plot the specified data using the plot button.