In this paper the Hamiltonian theory of particle motion has been applied for developing the motion equations of electrons in linear accelerator of Iris-loaded waveguides. Using J. C. Slater asumption for determining electric field in Oz direction, the energy increase of electron in the guide wave pipe following the linacs resonance cavity with circulated electromagnetic distribution and repeat-cycle of given number of resonance cavities has been developed. The energy gain of electron following the electron way in Oz axle direction of the accelerator with the different injection phase and phase shift of RF has been obtained. The results indicate that the energy increase of electron depends on the injection phase of RF and cell-to-cell phase shift.
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