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In recent years, the realization of Artificial Magnetic Conductors (AMCs), also designed as high impedance surfaces (HISs) or Perfect Magnetic Conductors (PMCs), has been an active area of research as they can replace perfect electric conductors (PECs) for low profile antennas and other microwave applications. In this paper a planar AMC using circular split ring resonators (SRRs) printed on grounded dielectric substrate is proposed. The simulation results verify that the magnetic conductor is successfully accomplished over narrow bandwidth = 0.25 GHz. As an antenna application, the return loss of a horizontally positioned dipole antenna placed above the proposed AMC and the conventional PEC ground planes are investigated. The results confirm that the split ring resonators can successfully be used to replace the antenna conventional ground plane in order to improve the strength of the radiating fields and to reduce the global thickness of the low profile antennas. The performances of the proposed AMC are studied using finite element method ANSOFT-High Frequency Structure Simulator (HFSSTM v.10) and numerical simulation model is developed to predict the reflection phase profile of such structures.