Effect of Pre-Bunched Relativistic Electron Beams on The Output Power In A Two-Stream Free Electron Laser

Authors

• Nader Mahdizadeh * ¹
• Maryam Razaghzadeh ²
• Alireza Haghpeima ²
• Babak Haghighi ²

1. Deptartment of Physics, Sabzevar Branch, Islamic Azad University, Sabzevar, Iran
2. Deptartment of Physics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

We investigate the effect of pre-bunched relativistic electron beams on the output power of a free electron laser by two electron beams in a theoretical study. In general, this highly coherent and stable pulse of laser is known as the best investigator of basic importance for present-day science. Free electron lasers are the best candidates for exploring nature at ultrasmall spatial and ultrafast temporal scales. In this paper, we have considered the distribution function of relativistic electron beams as a water-bag, and the configuration of the wiggler pump has assumed a helical magneto-static wiggler. By a set of nonlinear, 1D, coupled differential equations the wave-particle interaction problem has been analyzed. With the aid of MATLAB-based Runge-Kutta algorithm numerical solution has been obtained. Saturation profiles in different cases of pre-bunching phase region of beams have been plotted. Out-coming has shown that the saturation length decreases by about 7.2 %. However, the amplitude of the output pulse increased by about 209.3 % in comparison to the non-pre-bunched relativistic electron beams.

Keywords

• Water-bag distribution function
• Wave-particle interaction
• Momentum and Maxwell equations
• Free Electron Laser; pre-bunching
• Relativistic electron beams; two-stream