Wakefield Generation in a Plasma Filled Rectangular Waveguide

We study the wakefield in a plasma filled rectangular waveguide based on a differential equation derived in terms of the wake potential , when the pulse duration τ matches with inverse of the plasma frequency fp -1 . This equation is solved using fourth-order Runge-Kutta method for the Gaussian-like profile of the microwave pulse. The effects of microwave frequency f , waveguide width b and microwave intensity I are investigated on the wakefield EW . The amplitude of the wakefield is found to increase with microwave pulse duration and its intensity, but it gets decreased with microwave frequency and waveguide width. By optimizing various parameters, we can achieve wakefield of appreciable strength for the purpose of particle acceleration.