IPAC2012 - List of Authors (Barminova, H.Y.)

Paper	Title	Page
WEPPR024	Motion of Charged Particle Dense Bunch in Nonuniform External Fields	2985
	H.Y. Barminova ITEP, Moscow, Russia A.S. Chikhachev Allrussian Electrotechnical Institute, Moskow, Russia
	At the output of a linear resonance accelerator, a charged particle beam consists of a bunch series, with the relation between bunch length and transverse bunch size changing widely. It is of importance to describe bunch dynamics in a selfconsistent manner,* . Usually the charged bunch is described as ellipsoid with uniform density. Such description allows easy consideration of its own bunch fields. In the case of a nonstationary distribution it is difficult to build distribution function describing 3D-ellipsoid with uniform density** . In this paper such function is found for bunch formed as rotation ellipsoid. Radii ellipsoid equations are obtained for a bunch moving in nonuniform stationary external fields. * A.S. Chikhachev. Kinetic theory of quasystationary state of charged particle beams. Moscow,2001. ** I.M. Kapchinsky. Theory of linear resonanse accelerators. Particle dynamics. Moscow,1982.

WEPPR025	Effective Emittance Growth in Beam with Gaussian Density Profile	2988
	H.Y. Barminova ITEP, Moscow, Russia
	In a continuous beam with nonuniform charge density profile transverse oscillations are nonlinear resulting in effective emittance growth. It is of great practical interest to find this growth scaling law in the case of beam with Gaussian density distribution. To study the effect for a sheet beam with parabolic density profile, a fully kinetic and self-consistent model was built. The model allows one to obtain equations for envelope radius and rms emittance in a self-consistent manner, as the KV-model does it. The only model requirement is a special type of distribution function depending on the integral of nonlinear motion equations that automatically satisfies the Vlasov equation. The envelope equation is proved to be an ODE of 4th order. It was solved by the Runge-Kutta method. The beam parameter range was found where rms emittance growth is absent. The stationary equilibrium solution was found, too. The stability of solutions near equilibrium one was studied. An analysis of results shows that when there is no energy dissipation in the channel, rms emittance rises due to phase mixing between envelope oscillations and density distribution shape oscillations.

Paper

Title

Page

Motion of Charged Particle Dense Bunch in Nonuniform External Fields

2985

H.Y. Barminova
ITEP, Moscow, Russia
A.S. Chikhachev
Allrussian Electrotechnical Institute, Moskow, Russia

At the output of a linear resonance accelerator, a charged particle beam consists of a bunch series, with the relation between bunch length and transverse bunch size changing widely. It is of importance to describe bunch dynamics in a selfconsistent manner*,** . Usually the charged bunch is described as ellipsoid with uniform density. Such description allows easy consideration of its own bunch fields. In the case of a nonstationary distribution it is difficult to build distribution function describing 3D-ellipsoid with uniform density** . In this paper such function is found for bunch formed as rotation ellipsoid. Radii ellipsoid equations are obtained for a bunch moving in nonuniform stationary external fields.
* A.S. Chikhachev. Kinetic theory of quasystationary state of charged particle beams. Moscow,2001.
** I.M. Kapchinsky. Theory of linear resonanse accelerators. Particle dynamics. Moscow,1982.

WEPPR025

Effective Emittance Growth in Beam with Gaussian Density Profile

2988

H.Y. Barminova
ITEP, Moscow, Russia

In a continuous beam with nonuniform charge density profile transverse oscillations are nonlinear resulting in effective emittance growth. It is of great practical interest to find this growth scaling law in the case of beam with Gaussian density distribution. To study the effect for a sheet beam with parabolic density profile, a fully kinetic and self-consistent model was built. The model allows one to obtain equations for envelope radius and rms emittance in a self-consistent manner, as the KV-model does it. The only model requirement is a special type of distribution function depending on the integral of nonlinear motion equations that automatically satisfies the Vlasov equation. The envelope equation is proved to be an ODE of 4th order. It was solved by the Runge-Kutta method. The beam parameter range was found where rms emittance growth is absent. The stationary equilibrium solution was found, too. The stability of solutions near equilibrium one was studied. An analysis of results shows that when there is no energy dissipation in the channel, rms emittance rises due to phase mixing between envelope oscillations and density distribution shape oscillations.