Title : 
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
         
        
        
        
        
            fDate : 
6/1/2009 12:00:00 AM
         
        
        
        
            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;
         
        
        
            Journal_Title : 
Electron Devices, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TED.2009.2017649