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In this paper, a novel rectangular waveguide-based technique to accurately characterize linear and resonant microwave materials is presented. The proposed method resolves major challenges associated with phase ambiguities and guess parameters that have appeared in waveguide techniques reported thus far and establishes new, accurate formulations for simultaneous calculations of complex permittivity and permeability of microwave materials and systems under tests. It is shown that the proposed method works very accurately by presenting results obtained for linear materials of reasonable thickness and resonant non-reciprocal microwave systems. In doing so, the permittivity fluctuation is observed by such first research due to the ferromagnetic resonance of ferrites; here it is attributed to an induced voltage from the uniform flow of angular momentum in excited ferrites and this phenomenon is deemed as a distinct source of voltage from excited ferrite at room temperature for technologies.