Relative operating bandwidth of quarter-wave transformer¶
The relative operating bandwidth of a quarter-wave transformer depends on the reflection coefficient, the surge impendance of the transmission line to which the transformer is connected and the load resistance.
- relative_bandwidth¶
Relative operating bandwidth is the ratio of the bandwidth to the center frequency.
- Symbol:
b- Latex:
\(b\)
- Dimension:
dimensionless
- load_resistance¶
electrical_resistanceof the load.
- Symbol:
R_L- Latex:
\(R_\text{L}\)
- Dimension:
impedance
- surge_impedance¶
surge_impedanceof the transmission line.
- Symbol:
Z_S- Latex:
\(Z_\text{S}\)
- Dimension:
impedance
- reflection_coefficient¶
- Symbol:
Gamma- Latex:
\(\Gamma\)
- Dimension:
dimensionless
- law¶
b = 2 - 4 / pi * acos(2 * Gamma * sqrt(R_L * Z_S) / (sqrt(1 - Gamma^2) * Abs(R_L - Z_S)))- Latex:
- \[b = 2 - \frac{4}{\pi} \operatorname{acos}{\left(\frac{2 \Gamma \sqrt{R_\text{L} Z_\text{S}}}{\sqrt{1 - \Gamma^{2}} \left|{R_\text{L} - Z_\text{S}}\right|} \right)}\]