A novel Backward Wave Oscillator (BWO) suitable for work at millimeter Wave/THz regime, based on the Axial loaded Double Defected-Photonic Crystal (ADD-PC) Slow Wave Structure (SWS), is proposed. With the advantage of the excellent mode selectivity of the PC and the power handling capability of the metallic SWS, the ADD-PC is an ideal structure for Cherenkov radiation-based source/amplifier. The performance of the proposed BWO was investigated using a Finite Difference Time Domain (FDTD)/Particle In Cell (PIC) simulation. The numerical simulation result shows a strong agreement with the theoretical expectations. A design example, generating a 200GHz electromagnetic wave at a 50mW level is presented. Index Terms -Finite Difference Time Domain (FDTD), Particle In Cell (PIC), Photonic Crystal (PC), Backward Wave Oscillator (BWO).