transmission line
calculate the properties of the transmission line in the phasor
Parameters
characteristic impedance
`Z_0`
\(\Omega\)
Load impedance
`Z_L`
\(\Omega\)
Distance from load
d
\(\lambda\)
Output
Reflection coefficient at z=0 `Gamma_0`
`Gamma_0=(Z_L-Z_0)/(Z_L+Z_0)`
Voltage standing wave ratio VSWR
`(1+|Gamma_0|)/(1-|Gamma_0|)`
Input reflection coefficient `Gamma_(i\n)`
`Gamma(0) e^(-2jbeta d)`
Input impedance `Z_(i\n)`
`Z_0 (1+Gamma_(i\n))/(1-Gamma_(i\n))`
Return loss RL
`20log abs(Gamma_(i\n))`
Insert loss IL
`-10log(1-abs(Gamma_(i\n))^2)`