skrf.tlineFunctions.zl_2_total_loss

skrf.tlineFunctions.zl_2_total_loss(z0, zl, theta)

Total loss of a terminated transmission line (in natural unit).

The total loss expressed in terms of the load impedance is 1 :

\[TL = \frac{R_{in}}{R_L} \left| \cosh \theta + \frac{Z_L}{Z_0} \sinh\theta \right|^2\]

Parameters

• z0 (number or array-like) – characteristic impedance.

• zl (number or array-like) – load impedance

• theta (number or array-like) – electrical length of the line (may be complex).

Returns

total_loss – total loss in natural unit

Return type

number or array-like

References

1

Steve Stearns (K6OIK), Transmission Line Power Paradox and Its Resolution. ARRL PacificonAntenna Seminar, Santa Clara, CA, October 10-12, 2014. https://www.fars.k6ya.org/docs/K6OIK-A_Transmission_Line_Power_Paradox_and_Its_Resolution.pdf