Computer-Aided Design of Multisection Matching Networks With Desired Phase-Shift

In this brief, the physical interpretation of phase-shift has been discussed using the Thevenin model of a matching network with an ideal voltage source. The concept of the desired phased matching network is extended to a multi-section matching network. The idea is based on cascading of s-parameter with matched port. The junction between two s-parameter blocks will be matched if the first network’s load impedance is conjugate with the second block’s source impedance. If the junction is matched, then the total phase shift will be the addition of the individual blocks phase shift. Based on these properties, it has been shown here that the desired phased matching network can be represented as a cascade connection of multiple sub-matching networks. The idea is numerically validated using lumped <inline-formula> <tex-math notation="LaTeX">$\Pi $ </tex-math></inline-formula>-match network, and an algorithm is proposed to design a multi-section <inline-formula> <tex-math notation="LaTeX">$\Pi $ </tex-math></inline-formula>-match network with the desired phase shift.