Cp. Chen et al., RIGID-ROTOR VLASOV EQUILIBRIUM FOR AN INTENSE CHARGED-PARTICLE BEAM PROPAGATING THROUGH A PERIODIC SOLENOIDAL MAGNETIC-FIELD, Physical review letters, 79(2), 1997, pp. 225-228
A new rigid-rotor Vlasov equilibrium is obtained for an intense, axisy
mmetric charged-particle beam with uniform density in the radial direc
tion propagating through a periodic solenoidal focusing field. The bea
m envelope equation is derived, and examples of periodically focused r
igid-rotor Vlasov equilibria are presented. Statistical properties and
possible applications of the present beam equilibrium are also discus
sed.