Title : 
Analytical Methods of Electrode Design for a Relativistic Electron Gun
         
        
            Author : 
Caporaso, G.J. ; Cole, A.G. ; Boyd, J.K.
         
        
            Author_Institution : 
Lawrence Livermore National Laboratory P.O. Box 808 Livermore, California 94550
         
        
        
        
        
        
        
            Abstract : 
The standard paraxial ray equation method [1] for the design of electrodes for an electrostatically focused gun is extended to include relativistic effects and the effects of the beam´s azimuthal megnetic field. Solutions for parallel and converging beams are obtained and the predicted currents are compared against those measured on the High Brightness Test Stand [2].
         
        
            Keywords : 
Current measurement; Design methodology; Differential equations; Electrodes; Electron beams; Electrostatic measurements; Integral equations; Laboratories; Magnetic field measurement; Relativistic effects;
         
        
        
            Journal_Title : 
Nuclear Science, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TNS.1985.4333995