Theoretical Studies in Plasmas: Crossed-Field Devices and Ionospheric Plasmas

摘要

This is a final report on theoretical research on operation of magnetrons, crossed-filed amplifiers, and other related crossed-field devices. The methods used were analytical and numerical. The analytical methods used were mathematical techniques designed to separate the problem into smaller parts, wherein each part could be solved analytically. Then these parts could be fitted together in a numerical routine, which would obtain numerical solutions to this problem. This report covers work done on the initiation stage of the A6 and work done on the saturation stage of a typical non-relativistic crossed-field amplifier. In the latter case, a closed form solution was obtained for the field variables in the region around one of the resonances. Expressions for the conversion, reflection, and transmission coefficients at this resonance were obtained. Other work related to soliton solutions in Type II second-harmonic generation and their stability have been reported on also, as well as methods for the quantitative estimations of variational approximations.