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1.4.4 Power Available from a Network

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A special case of available power is the power available from the output of a network, when the network is connected an arbitrary source. In this case, the available power is only a function of the network and the source impedance and is not a function of the load impedance. It represents the maximum power that could be delivered to a load under the condition that the load impedance was ideally matched and can be found by noting that the available output power is similar to Eq. (1.47) but with the source reflection coefficient replaced by the output reflection coefficient of the network Γ2 from Eq. (1.30) such that

(1.50)

When a 2‐port network is connected to a generator with arbitrary impedance, the output scattered wave into matched load is

(1.51)

Here the incident wave is represented as aS rather than a1 as an indication that the source is not matched, and Γ1 is defined by Eq. (1.27). The output power incident to the load is

(1.52)

Combining Eqs. (1.52) and (1.50), the available power at the output from a network that is driven from a generator with source impedance of ΓS is

(1.53)

With Γ2 defined as in Eq. (1.30).

Handbook of Microwave Component Measurements

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