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In the presence of an active medium incorporated in a Penning trap, themoving electrons can become bunched, as they get enough energy, they escape thetrap forming an optical injector. These bunched electrons can enter next PASERsection filled with the same active medium to be accelerated. In this paper,electron dynamics in the presence of gas mixture active medium incorporated ina penning trap is analyzed by developing an idealized 1D model. We furtherevaluate the energy exchange occurring as the train of electrons traversing thenext PASER section. The results show that the oscillating electrons can bebunched at the resonant frequency of the active medium. The influence of thetrapped time and the population inversion are analyzed, which shows that thelonger the electrons are trapped, the more energy from the medium theaccelerated electrons get, and with the increase of the population inversion,the decelerated electrons virtually unchanged but the accelerated electronsmore than double their peak energy values. What is more, the simulation resultsshow that the gas active medium need lower population inversion to bunch theelectrons compared to the solid active medium. So the experimental condition iseasy to be achieved.

Investigating of electrons bunching in a Penning trap and accelerating process for CO2 gas mixture active medium