In this paper, we propose a tunable dual-band left-handed metamaterial (LHM) implemented by embedding a variable capacitor to a single-band LHM. The proposed LHM is analyzed with equivalent circuits from both the aspects of magnetic and electric resonators. From the simulated results and the retrieved effective parameters, it is figured out that double negative characteristics are achieved at two frequency ranges, one is stable while the other one sweeps most of the desired frequencies with the change of the capacitor. Hence, this LHM is able to adjust its negative index frequency ranges according to different requirements.
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