We have developed a computer code for the simulation of large scale SWP plasma excited by a long coaxial antenna with a VHF wave of 300 MHz, this antenna is located along the center axis of a cylindrical chamber. The antenna used in this model structure is so long that the computational region has become very large. Therefore, for the calculation of the electromagnetic field profile in order to design a long and large scale SWP plasma, it is necessary to apply a proper boundary condition to truncate the computational region, and from this viewpoint we have introduced the PML absorbing boundary conditions and have studied the effectiveness of this boundary conditions for our purposes.