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For a Wilkinson power divider of insertion loss L and the coupler is matched to the external circuitry, and then the gain of the coupler in terms of insertion loss is:

For a Wilkinson power divider of insertion loss L and the coupler is matched to the external circuitry, and then the gain of the coupler in terms of insertion loss is: Correct Answer 1/2L

To evaluate the noise figure of the coupler, third port is terminated with known impedance. Then the coupler becomes a two port device. Since the coupler is matched, ГS=0 and Гout=S22=0. So the available gain is │S21│2. This is equal to 1/2L from the available data.

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The Wilkinson power divider is a:
For an equal-split Wilkinson power divider of 50Ω system impedance, the characteristic impedance of quarter wave transmission line used is:
Noise equivalent temperature of Wilkinson coupler having a gain of 1/2L is given as:
When a network is matched to its external circuitry, the gain of the two port network is given by:
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The analysis of Wilkinson coupler is done using:
A Wilkinson coupler designed can be operated at any frequency.