Parallel-Plate Transmission Line
Model parallel-plate transmission line
Libraries:
RF Blockset /
Equivalent Baseband /
Transmission Lines
Description
The Parallel-Plate Transmission Line block models the parallel-plate transmission line described in the block dialog box in terms of its frequency-dependent S-parameters. A parallel-plate transmission line is shown in cross-section in the following figure. Its physical characteristics include the plate width w and the plate separation d.
Parameters
Plate width (m) — Width of parallel-plate transmission line
5e-3
(default) | scalar
Physical width of the parallel-plate transmission line, specified as a scalar in meters.
Plate separation (m) — Dielectric spacing in parallel-plate transmission line
1e-3
(default) | scalar
Thickness of the dielectric separating the plates, specified as a scalar in meters.
Relative permeability constant — Relative permeability of the dielectric material in the parallel-plate transmission line
1
(default) | scalar
Relative permeability of the dielectric expressed as the ratio of the permeability of the dielectric to permeability in free space μ0, specified as a scalar.
Relative permittivity constant — Relative permittivity of the dielectric material in the parallel-plate transmission line
2.3
(default) | scalar
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 dielectric — Loss tangent of dielectric in the parallel-plate transmission line
0
(default) | scalar
Loss angle tangent of the dielectric, specified as a scalar.
Conductivity of the conductor (S/m) — Conductivity of conductor
inf
(default) | scalar
Conductivity of the conductor, specified as a scalar in siemens per meter. Conductivity is a metric to measure the flow of current in a conductor.
Transmission line length(m) — Physical length of the transmission line
0.01
(default) | positive scalar
Physical length of the transmission line in meters, specified as positive scalar in meters.
Stub mode — Type of stub
Not a stub
(default) | Shunt
| Series
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 stubIf you model a parallel-plate transmission line as stubless line, the Parallel-Plate 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 information, see Stub Mode- Not a stub.
Shunt and Series Stubs
The stub mode of the parallel-plate transmission line is classified as following:
Shunt
—Shunt parameter provides the users with the two-port network consists of a stub transmission line that you can terminate with either a short circuit or an open circuit as shown here.Zin is the input impedance of the shunt circuit. The ABCD-parameters for the shunt stub are calculated as
Series
—Series parameter provides the user with the two-port network consists of a series transmission line that you can terminate with either a short circuit or an open circuit as shown here.Zin is the input impedance of the series circuit. The ABCD-parameters for the series stub are calculated as
Termination of stub — Stub termination
Open
(default)
Stub termination for stub modes Shunt
and
Series
. Choices are Open
or
Short
Dependencies
To enable this parameter, select Shunt
, or
Series
, or in Stub
mode
Source of frequency data — Frequency data source
User-specified
(default)
Frequency data source, specified as
User-specified
.
Frequency data (Hz) — Frequency data range
[1e9:1e6:3e9]
(default) | vector
Frequency data range, specified as a vector in Hz.
Reference impedance (ohms) — Reference impedance
50
(default) | nonnegative scalar
Reference impedance, specified as a nonnegative scalar in ohms.
Plot type — Type of data plot
X-Y plane
(default) | Composite data
| Polar plane
| Z Smith chart
| Y Smith chart
| ZY Smith chart
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 Using Equivalent Baseband Library Blocks.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
, andZY smith chart
— Generate a Smith® chart. The block plots only the range of data corresponding to the specified frequencies.
Y parameter1 — Type of parameters to plot
S11
(default) | S12
| S21
| S22
| GroupDelay
| OIP3
| IIP3
| NF
| ...
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
.
Y parameter2 — Type of parameters to plot
S11
(default) | S12
| S21
| S22
| GroupDelay
| OIP3
| IIP3
| NF
| ...
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
.
Y format1 — Plot format
Magnitude (decibels)
(default) | Mag
| Magnitude (linear)
| Angle
| Real
| Imaginary
| ...
Plot format, specified as one of the following.
Y parameter1 | Y 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
.
Y format2 — Plot format
Magnitude (decibels)
(default) | Mag
| Magnitude (linear)
| Angle
| Real
| Imaginary
| ...
Plot format, specified as one of the following.
Y parameter2 | Y 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
.
X parameter — Frequency plot
Freq
(default)
Frequency plot, specified as Freq
.
X format — Frequency plot format
Hz
(default) | Auto
| kHz
| MHz
| GHz
| THz
Frequency plot format, specified as one of the following.
Auto | Hz | kHz | MHz |
GHz | THz |
Y scale — Y-axis scale
Linear
(default) | Log
Y-axis scale, specified as Linear
or Log
.
Dependencies
To enable this parameter, set Plot type to X-Y
plane
.
X scale — X-axis scale
Linear
(default) | Log
X-axis scale, specified as Linear
or Log
.
Dependencies
To enable this parameter, set Plot type to X-Y
plane
.
Plot — Plot specified data
button
Plot specified data using plot button.
More About
Stub Mode - Not a Stub
The block calculates the ABCD-parameters using the physical length of the transmission line, d, and the complex propagation constant, k, using the following equations:
Z0 and k are vectors whose elements correspond to the elements of f, a vector of modeling frequencies, determined by the Output Port block. Both can be expressed in terms of the resistance (R), inductance (L), conductance (G), and capacitance (C) per unit length (meters) as follows:
where
In these equations:
a is the radius of the inner conductor.
b is the radius of the outer conductor.
σcond is the conductivity in the conductor.
μ is the permeability of the dielectric. μ = μ0 μr where:
μ0 is the permeability in free space.
μr is the Relative permeability constant parameter value.
The is a complex dielectric constant given by ε = ε′ − јε″= ε′ ( 1 − јtanδ)
ε′ is the real part of complex dielectric constant ε, ε′ = ε0εr. ε″ is the imaginary part of complex dielectric constant ε, ε″ = ε0εrtan δ where :
ε0 is the permittivity of free space.
εr is the Relative permittivity constant parameter value.
tan δ is the Loss tangent of dielectric parameter value.
δcond is the skin depth of the conductor, which the block calculates as .
References
[1] Pozar, David M “Microwave Engineering”, John Wiley & Sons, Inc., 2005.
Version History
Introduced in R2009a
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