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A model is presented for simulating the electron beam within the entire gyrotron geometry using an electron optics code. The model incorporates the influence of the electromagnetic fields generated by the cavity's operational mode through a simple self-consistent approach. This simulation method proves highly beneficial for investigating the effects occurring within the complete gyrotron structure. One such application includes the examination of ions and electrons, resulting from the ionization of residual gas molecules upon collision with the electron beam. By calculating the trajectories of these particles, interesting conclusions can be drawn. (c) 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/)