skrf.media.distributedCircuit.DistributedCircuit

class skrf.media.distributedCircuit.DistributedCircuit(frequency=None, z0_port=None, z0_override=None, z0=None, C=9e-11, L=2.8e-07, R=0, G=0, *args, **kwargs)

A transmission line mode defined in terms of distributed impedance and admittance values.

Parameters:

• frequency (Frequency object) – frequency band of the media

• z0_port (number, array-like, or None) – z0_port is the port impedance for networks generated by the media. If z0_port is not None, the networks generated by the media are renormalized (or in other words embedded) from the characteristic impedance z0 of the media to z0_port. Else if z0_port is None, the networks port impedances will be the raw characteristic impedance z0 of the media. (Default is None)

• z0_override (number, array-like, or None) – z0_override override the characteristic impedance for the media. If z0_override is not None, the networks generated by the media have their characteristic impedance z0 overrided by z0_override. (Default is None)

• z0 (number, array-like, or None) – deprecated parameter, alias to z0_override if z0_override is None. Emmit a deprecation warning.

• C (number, or array-like) – distributed capacitance, in F/m

• L (number, or array-like) – distributed inductance, in H/m

• R (number, or array-like) – distributed resistance, in Ohm/m

• G (number, or array-like) – distributed conductance, in S/m

Notes

if C,I,R,G are vectors they should be the same length

DistributedCircuit is Media object representing a transmission line mode defined in terms of distributed impedance and admittance values.

A DistributedCircuit may be defined in terms of the following attributes:

Quantity	Symbol	Property
Distributed Capacitance	\(C^{'}\)	C
Distributed Inductance	\(L^{'}\)	L
Distributed Resistance	\(R^{'}\)	R
Distributed Conductance	\(G^{'}\)	G

The following quantities may be calculated, which are functions of angular frequency (\(\omega\)):

Quantity	Symbol	Property
Distributed Impedance	\(Z^{'} = R^{'} + j \omega L^{'}\)	Z
Distributed Admittance	\(Y^{'} = G^{'} + j \omega C^{'}\)	Y

The properties which define their wave behavior:

Quantity	Symbol	Method
Characteristic Impedance	\(Z_0 = \sqrt{ \frac{Z^{'}}{Y^{'}}}\)	Z0()
Propagation Constant	\(\gamma = \sqrt{ Z^{'} Y^{'}}\)	gamma()

Given the following definitions, the components of propagation constant are interpreted as follows:

\[ \begin{align}\begin{aligned}+\Re e\{\gamma\} = \text{attenuation}\\-\Im m\{\gamma\} = \text{forward propagation}\end{aligned}\end{align} \]

See also

from_media

Attributes

Y	Distributed Admittance, \(Y^{'}\).
Z	Distributed Impedance, \(Z^{'}\).
Z0	Characteristic Impedance
alpha	Real (attenuation) component of gamma.
beta	Imaginary (propagating) component of gamma.
gamma	Propagation Constant, \(\gamma\).
npoints	Number of points of the frequency axis.
v_g	Complex group velocity (in m/s).
v_p	Complex phase velocity (in m/s).
z0	Return Characteristic Impedance z0_characteristic.
z0_characteristic	Characteristic Impedance, \(z_0\)
z0_override	Port Impedance.
z0_port	Port Impedance.

Methods

__init__
attenuator	Ideal matched attenuator of a given length.
capacitor	Capacitor.
capacitor_q	Capacitor with Q factor.
copy	Copy of this Media object.
delay_load	Delayed load.
delay_open	Delayed open transmission line.
delay_short	Delayed Short.
electrical_length	Calculate the complex electrical length for a given distance.
extract_distance	Determines physical distance from a transmission or reflection Network.
from_csv	Create a DistributedCircuit from numerical values stored in a csv file.
from_media	Initializes a DistributedCircuit from an existing Media instance.
get_array_of
impedance_mismatch	Two-port network for an impedance mismatch.
inductor	Inductor.
inductor_q	Inductor with Q factor.
isolator	Two-port isolator.
line	Transmission line of a given length and impedance.
line_floating	Floating transmission line of a given length and impedance.
load	Load of given reflection coefficient.
lossless_mismatch	Lossless, symmetric mismatch defined by its return loss.
match	Perfect matched load (\(\Gamma_0 = 0\)).
mode	Create another mode in this medium.
open	Open (\(\Gamma_0 = 1\)).
plot
random	Complex random network.
resistor	Resistor.
short	Short (\(\Gamma_0 = -1\))
shunt	Shunts a Network.
shunt_capacitor	Shunted capacitor.
shunt_delay_load	Shunted delayed load.
shunt_delay_open	Shunted delayed open.
shunt_delay_short	Shunted delayed short.
shunt_inductor	Shunted inductor.
shunt_resistor	Shunted resistor.
splitter	Ideal, lossless n-way splitter.
tee	Ideal, lossless tee.
theta_2_d	Convert electrical length to physical distance.
thru	Matched transmission line of length 0.
to_meters	Translate various units of distance into meters.
white_gaussian_polar	Complex zero-mean gaussian white-noise network.
write_csv	write this media's frequency, gamma, Z0, and z0 to a csv file.