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We have measured the relative permeability of splitring resonator (SRR) arrays used in metamaterials designed to have &#x03BC;' &lt;; 0 over a narrow range of microwave frequencies. The SRR arrays were loaded into the bore of a loop-gap resonator (LGR), and the reflection coefficient measurements were used to determine both the real and imaginary parts of the array's effective permeability. Data were collected as a function of array size and SRR spacing. The results were compared with those obtained from continuous extended SRRs (ESRRs). The arrays of planar SRRs exhibited enhanced damping and a narrower range of frequencies with &#x03BC;' &lt;; 0 compared with the ESRRs. The observed differences in damping, however, were diminished considerably when the array size was expanded from a 1-D array of N SRRs to a 2 x 2 x N array. Our method can also be used to experimentally determine the effective permeability of other metamaterial designs.

The Complex Permeability of Split-Ring Resonator Arrays Measured at Microwave Frequencies