A coil is disposed next to a plasma processing chamber. A first direct-drive radiofrequency (RF) power supply has an output through which a first shaped-amplified square waveform signal is transmitted. A first reactive circuit is connected between the output of the first direct-drive RF power supply and a first end of the coil. The first reactive circuit transforms the first shaped-amplified square waveform signal into a first shaped-sinusoidal signal in route to the first end of the coil. A second direct-drive RF power supply has an output through which a second shaped-amplified square waveform signal is transmitted. A second reactive circuit is connected between the output of the second direct-drive RF power supply and a second end of the coil. The second reactive circuit transforms the second shaped-amplified square waveform signal into a second shaped-sinusoidal signal in route to the second end of the coil.