The numerical analysis is performed with two dimensional wave code for controlling the eigenmode formation of fast Alfvén waves in the GAMMA 10 central cell. The plasma production by fast waves depends on the wave excitation in the plasma. Eigenmodes are strongly formed when the boundary conditions in the axial and radial directions are satisfied. As the optimum density for the formation of eigenmode exists discretely, the density is clamped at the value where the eigenmode is strongly formed. For the higher density plasma production, the eigenmodes must be continuously excited as the density increases. It is found that the almost continuous excitation of eigenmodes can be realized by using two waves with different frequencies at the same time.