Attenuation of three link microwave attenuator¶

Microwave attenuators are used to attenuate the microwave signal. For a three-link T-type attenuator or a π-type attenuator, the signal attenuation coefficient is calculated from the ratio of resistances of the resistors.

attenuation¶: attenuation of the attenuator.

Symbol:: A
Latex:: \(A\)
Dimension:: dimensionless

first_resistance¶: electrical_resistance of the first section.

Symbol:: R_1
Latex:: \(R_{1}\)
Dimension:: impedance

second_resistance¶: electrical_resistance of the second section.

Symbol:: R_2
Latex:: \(R_{2}\)
Dimension:: impedance

law¶

A = exp(acosh(1 + R_1 / R_2))

Latex:: \[A = \exp{\left(\operatorname{acosh}{\left(1 + \frac{R_{1}}{R_{2}} \right)} \right)}\]