The following problem is investigated. Given two terminating impedances

and

, design an

ladder network of n sections such that the terminated transfer voltage ratio

is maximized at a given phase shift

. This problem is solved explicitly. It was found that the optimum

phase-shift network is a geometrical progression network-properly terminated at both ends. In the distributed case (

approaches infinity), the optimum

network is an exponentially tapered line, terminated by four lumped impedances.