Title : 
A further contribution to the theory of electrostatic focusing
         
        
            Author : 
Priestland, Paul B. ; Hartnagel, Hans L.
         
        
            Author_Institution : 
Emihus Microcomponents Ltd., Glenrothes, Scotland
         
        
        
        
        
            fDate : 
9/1/1969 12:00:00 AM
         
        
        
        
            Abstract : 
An attempt has been made to obtain an accurate analytical solution to the equation of motion of an electron in a periodic electrostatic field. It has been shown that the equation is of the inhomogeneous Mathieu type. The general solution has been obtained and the effect of various parameters is discussed. It is hoped that this solution will find applications in many problems of particle dynamics.
         
        
            Keywords : 
Difference equations; Differential equations; Electrons; Electrostatic analysis; Motion analysis; Nonuniform electric fields; Particle beams; Permittivity; Space charge; Strips;
         
        
        
            Journal_Title : 
Electron Devices, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/T-ED.1969.16857