A Simple Closed-Form Formula for Plasma-Frequency Reduction Factor for a Solid Cylindrical Electron Beam

Author

Datta, Subrata Kumar ; Kumar, Lalit

Author_Institution

Defence Res. & Dev. Organ., Microwave Tube Res. & Dev. Centre, Bangalore

Volume

56

Issue

6

fYear

2009

fDate

6/1/2009 12:00:00 AM

Firstpage

1344

Lastpage

1346

Abstract

A simple closed-form formula for plasma-frequency reduction factor for a solid cylindrical electron beam in a metallic tunnel is developed using an artificial neural network algorithm of universal approximation. The formula is simple yet accurate and amenable to easy computation, even using a scientific calculator, without resorting to an exhaustive numerical iterative search, as required by conventional analyses. The formula is validated against published results, with excellent agreement.

Keywords

electrical engineering computing; electron beams; iterative methods; neural nets; space charge; artificial neural network algorithm; exhaustive numerical iterative search; metallic tunnel; plasma-frequency reduction factor; solid cylindrical electron beam; universal approximation; Approximation algorithms; Artificial neural networks; Electron beams; Equations; Frequency; Plasma displays; Plasma properties; Propagation constant; Research and development; Solids; Electron beam; plasma frequency; plasma-frequency reduction factor (PFRF); space-charge depression;

fLanguage

English

Journal_Title

Electron Devices, IEEE Transactions on

Publisher

ieee

ISSN

0018-9383

Type

jour

DOI

10.1109/TED.2009.2017649

Filename

4840420