Plasma Frequency Reduction Factor

摘要

A simple formula for plasma frequency reduction factor for a solid cylindrical electron beam in a metallic tunnel has been developed by means of a 3-D curve fitting to the standard results of Branch and Mihran with accuracy > 1.7 per cent, over the parametric regime of normalised beam-radius and beam-filling factor applicable for linear-beam microwave tubes. An artificial neural network algorithm was used for the curve-fitting following the approach of universal approximation. The formula is simple and amenable to easy computation, even using a scientific calculator.