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Specific Absorption Rate (SAR) averaged over 10 g, 1 g and 0.1 g mass of head tissue induced inside a realistic grounded human head in the near-field of a half-wave radiating dipole antenna has been computed using Finite Difference in Time Domain (FDTD) method. The head is modeled using voxel based anthropomorphic phantom data considering the electrical parameters of different anatomical internal structures of the human body. Results obtained from the simulation show that maximum local SAR increases significantly for smaller mass average. Maximum 0.1-g SAR of 3.75 W/kg is obtained for 4 mm distance between head and antenna with 0.6 W radiated power.