الفهرس 
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Abstract
Plasma is an attractive medium for particle acceleration because of the high electric field can be sustained by plasma. Our objective in this thesis concentrate mainly to study the physics of particle acceleration by different methods like microwave in the waveguides and also like beating two intense lasers in plasma based accelerators. So, it has been of great interest to consider the following subjects: 1- The dynamics of an electron in the fields associated with transverse magnetic (TM) wave propagating inside rectangular waveguide is studied analytically. We have solved exactly the relativistic momentum and energy equations of a single electron which injected initially along the propagation of microwave. Expressions for the acceleration gradient and deflection angle are obtained.2- The dynamics of an electron in the fields associated with TE-electromagnetic wave propagating inside a circular waveguide is analytically studied. The motion of this electron along the axis of the waveguide is investigated in the existence of a helical magnet (in which the field is perpendicular to the axis of waveguide and rotating as a function of position along the magnet).3- The study of the beat wave plasma accelerator due to the interaction of two linearly polarized Bessel laser beams is investigated. The electron acceleration which driven by the generated longitudinal plasma waves with phase velocities near the speed of the light is studied. The wave equations that describe the fields of this beat wave are obtained.