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Resonant frequency of annular ring antenna using shorting pins

In this paper a theoretical method for the measurement of resonant frequency of an annular ring antenna is presented with symmetric shorts using extended cavity model. The pins are loaded away from the centre of patch and the pins are equi-spaced on the circular disc. The shorting pins have been considered as inductive impedances at the frequency of interest. The results are presented for a case of four shorting pins.