For developing terahertz O-type traveling wave tube amplifiers, as a rule, models are used that take into account only interaction of electron beam with electromagnetic wave in slow-wave system, without considering influence of areas occupied by electron gun and collector on these processes. However, if resonance occurs within volumes occupied by electron gun and collector, then this may lead to distortion of the slow-wave system bandwidth, thereby degrading the device performance. Reflectors using can significantly improve this situation, as thanks to reflectors, electromagnetic waves don't pass inside these areas, and absorbing layer inside them suppresses the resonance possibility. As a result, the device becomes more stable and efficient as an electromagnetic wave amplifier. This paper presents the numerical simulation results of processes in terahertz TWT model, including the entire device volume without exceptions, based on the Finite-Difference Time-Domain (FDTD) method for Maxwell equations and the Particle-In-Cells (PIC) method for calculating electron beam dynamics.