Considering the effects of both the finite ion-cyclotron frequency and the finite presure, We solved numerically the magnetohydrodynamics (MHD) equations describing a nonhomegeneous current-carrying cylindrical plasma. It is found that the resonant layer of the shear Alfven wave in an ideal plasma impelled by rf wave of antenna is not a singular layer and that Alfven wave can go across the resonant layer. The couple of an antenna with plasma is researched carefully and the results is given by some figures.