Effect of space charge on the stability of betatron oscillations in circular accelerators

1970 ◽  
Vol 29 (5) ◽  
pp. 1095-1099
Author(s):  
A. A. Kolomenskii ◽  
A. T. Polukhin
Keyword(s):  
Space Charge ◽  
The Stability ◽  
Circular Accelerators

A comparison of injection laws for the space charge equations in gases and dielectrics

1993 ◽  
Vol 443 (1919) ◽  
pp. 517-546 ◽  
Keyword(s):  
Electric Field ◽  
Space Charge ◽  
Field Distribution ◽  
Steady Motion ◽  
Plane Geometry ◽  
Symmetric Problem ◽  
Injection Process ◽  
Underlying Geometry ◽  
Current Characteristics ◽  
The Stability

We consider the steady motion of space charge from an injecting electrode to an earthed electrode in both a gas and a dielectric. Three models governing the process of charge injection from the electrode into the medium are compared and the resulting voltage–current characteristics calculated. In particular we examine injection laws in which the electric field, charge or current are specified. It is shown that if the injecting electrode is small in comparison to the underlying geometry then the resulting field distribution is almost independent of the injection process. The stability of the three models is compared and it is shown that the field specified and charge specified models are always stable. The calculations are performed exactly for the case of a symmetric problem and make use of the Deutsch approximation for a needle-plane geometry.

On the stability of shock waves in a continuous medium with a space charge

1998 ◽  
Vol 39 (2) ◽  
pp. 184-193 ◽  
Author(s):  
A. M. Blokhin ◽  
Yu. L. Trakhinin ◽  
I. Z. Merazhov
Keyword(s):  
Shock Waves ◽  
Space Charge ◽  
Continuous Medium ◽  
The Stability

scholarly journals Space charge electrostatic fields and focusing of a sheet electron beam with diffused edges

1999 ◽  
Vol 17 (1) ◽  
pp. 1-13
Author(s):  
JAYASHREE PANICKER ◽  
Y. CHOYAL ◽  
K.P. MAHESHWARI ◽  
U. SHARMA
Keyword(s):  
Electron Beam ◽  
Magnetic Fields ◽  
Space Charge ◽  
Electron Beams ◽  
Numerical Study ◽  
Density Variation ◽  
Beam Focusing ◽  
Electrostatic Fields ◽  
Sheet Electron Beam ◽  
The Stability

An analytical and numerical study of the stability of sheet electron beams in periodically cusped magnetic fields (PCM) is made. The beam has been considered as having edges with a prescribed density variation. In estimating the electrostatic fields, we have considered the density variation of both the edges along the width and thickness of the sheet beam. The conditions for beam focusing and beam matching are discussed.

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