Generalized Kapchinskij-Vladimirskij distribution and envelope equation for high-intensity beams in a coupled transverse focusing lattice.

Generalized Courant-Snyder theory and Kapchinskij-Vladimirskij distribution for high-intensity beams in a coupled transverse focusing lattice

Class of generalized Kapchinskij-Vladimirskij solutions and associated envelope equations for high-intensity charged-particle beams.

A class of generalized Kapchinskij-Vladimirskij solutions of the Vlasov-Maxwell equations and the associated envelope equations for high-intensity beams in an uncoupled lattice is derived. It includes the classical Kapchinskij-Vladimirskij solution as a special case. For a given lattice, the distribution functions and the envelope equations are specified by ten free parameters. The class of sol...

PFC / JA - 93 - 29 Properties of the Kapchinskij - Vladimirskij Equilibrium and Envelope Equation for an Intense Charged - Particle Beam in a Periodic Focusing Field

The properties of the Kapchinskij-Vladimirskij (K-V) equilibrium and envelope equation are examined for an intense charged-particle beam propagating through an applied periodic solenoidal focusing magnetic field including the effects of the self-electric and selfmagnetic fields associated with the beam space-charge and current. It is found that the beam emittance is proportional to the maximum ...

Injecting a Kapchinskij-vladimirskij Distribution into a Proton Synchrotron*

Recently it has been suggested that the KapchinskijVladimirskij (KV) distribution [1] may be of practical interest for high intensity machines in that it may provide the maximum space charge limit for such a machine. One can make a plausible argument that the maximum beam intensity is obtained for a distribution for which all particles have the same tune, at least when the resonance is approach...

Control of Chaotic Particle Motion Using Adiabatic Thermal Beams

Charged-particle motion is studied in the self-electric and self-magnetic fields of a well-matched, intense charged-particle beam and an applied periodic solenoidal magnetic focusing field. The beam is assumed to be in a state of adiabatic thermal equilibrium. The phase space is analyzed and compared with that of the well-known Kapchinskij-Vladimirskij (KV)-type beam equilibrium. It is found th...