Faithin Omaha eBook Collection

Download or read book Theory of Microwave Generation by an Intense Relativistic Electron Beam in a Rippled Magnetic Field written by Wallace M. Manheimer and published by . This book was released on 1973 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by the recent results of Friedman and Herndon the authors have investigated theoretically the stability of a waveguide enclosed relativistic electron beam in a rippled magnetic field. The presence of the ripple can couple negative energy beam modes to positive energy waveguide modes to produce instability and thereby generate microwaves. In the experiment the thickness of the beam is small compared to all other relevant lengths. The nonlinear dynamics of an infinitessimally thin sheet beam is analyzed. The system is described by the orbit equations for the particles, Maxwell's equations, a set of nonlinear boundary conditions across the moving surface and a continuity equation for the moving surface. (Author).