Power Standing Wave Ratio as a Local Grid Magnifier for Close Observation of Impedance Trajectories

Abstract

This paper presents a unique mathematical approach to impedance mapping on a complex plane. Assuming a passive load excited from an RF power source, we express the complex reflectance with respect to the standing wave ratio that involves the phase angle. Then the ratio is heuristically raised to a power, which enables us to magnify the local grid of the impedance. By pure formulation, we explore the trajectories that will appear on the plane from this local magnification. The results are visualized in seven persuasive illustrations to open up a fresh perspectives for the plane geometry from the RF engineering field.