In this paper, an electrically small antenna with a parasitic Z-shaped element is presented. Compared to the previously proposed design, it has been proved that even if the Z element is disconnected from the ground plane, it still works as a natural matching network for the antenna. Two designs for two different frequency bands have been presented. The natural matching property has been demonstrated for an antenna working at 5.11 GHz and then another design tuned to 2.45 GHz has been investigated. The gain and the Reactive Near Fields (RNF) of the second design is studied, showing a high decrease of the radiation toward the hand. Moreover, for the antenna with the Z element, the reduction in the magnetic RNF at distance 15 mm is almost 2 dB A/m compared to the antenna itself
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