This paper presents, the analysis and design performance of a high impedance tunable left handed coplanar waveguide transformer designed on a ferrite substrate. The performance of the proposed transformer is explained analytically. Then numerical electromagnetic full wave simulations verify its theoretical behavior. The results illustrates that the proposed transformer can match a 200 load and a 50 line. The whole operating bandwidth can be tuned by changing the applied DC magnetic bias. The center frequency changes from 2.8 GHz to 3.4 GHz. The proposed transformer length is only 2.4 mm which is approximately 78% reduction in conventional RH transformer length operates within the same frequency band. Moreover, the proposed transformer utilizes a horizontally magnetized ferrite substrate yielding a small demagnetization field and hence smaller required DC magnetic bias compared to microstrip configuration.
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