Generic, distributed circuit TEM transmission line
A TEM transmission line, defined in terms of distributed impedance and admittance values. A Distributed Circuit may be defined in terms of the following attributes,
Quantity | Symbol | Property |
---|---|---|
Distributed Capacitance | ![]() |
C |
Distributed Inductance | ![]() |
I |
Distributed Resistance | ![]() |
R |
Distributed Conductance | ![]() |
G |
From these, the following quantities may be calculated, which
are functions of angular frequency ():
Quantity | Symbol | Property |
---|---|---|
Distributed Impedance | ![]() |
Z |
Distributed Admittance | ![]() |
Y |
From these we can calculate properties which define their wave behavior:
Quantity | Symbol | Method |
---|---|---|
Characteristic Impedance | ![]() |
Z0() |
Propagation Constant | ![]() |
gamma() |
Given the following definitions, the components of propagation constant are interpreted as follows:
Attributes
Y | Distributed Admittance, ![]() |
Z | Distributed Impedance, ![]() |
characteristic_impedance | Characterisitc impedance |
propagation_constant | Propagation constant |
z0 | Port Impedance |
Methods
Z0 | Characteristic Impedance, ![]() |
__init__ | Distributed Circuit constructor. |
capacitor | Capacitor |
delay_load | Delayed load |
delay_open | Delayed open transmission line |
delay_short | Delayed Short |
electrical_length | calculates the electrical length for a given distance, at |
from_Media | Initializes a DistributedCircuit from an existing |
from_csv | create a Media from numerical values stored in a csv file. |
gamma | Propagation Constant, ![]() |
guess_length_of_delay_short | Guess physical length of a delay short. |
impedance_mismatch | Two-port network for an impedance miss-match |
inductor | Inductor |
line | Matched transmission line of given length |
load | Load of given reflection coefficient. |
match | Perfect matched load (![]() |
open | Open (![]() |
resistor | Resistor |
short | Short (![]() |
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 |
splitter | Ideal, lossless n-way splitter. |
tee | Ideal, lossless tee. |
theta_2_d | Converts electrical length to physical distance. |
thru | Matched transmission line of length 0. |
white_gaussian_polar | Complex zero-mean gaussian white-noise network. |
write_csv | write this media’s frequency, z0, and gamma to a csv file. |