A method is proposed to experimentally determine the effective complexpermeability of split-ring resonator (SRR) arrays used in the design ofmetamaterials at microwave frequencies. We analyze the microwave response of aloop-gap resonator (LGR) whose bore has been partially loaded with one or moreSRRs. Our analysis reveals that the resonance frequency, magnetic plasmafrequency, and damping constant of the effective permeability of the SRR arraycan be extracted from fits to the reflection coefficient (S11) of aninductively-coupled LGR. We propose LGR designs that would allow both aone-dimensional array of SRRs and small three-dimensional arrays of SRRs to becharacterized. Finally, we demonstrate the method using a toroidal LGR loadedwith a single extended SRR of length z.
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