# Abstracts

## XX International Linac Conference

## MOE18 (Poster)

**Presenter: **Yuri Batygin (American Sciences and Engineering)

** email: **YBatygin@as-e.com

**Status: **Complete

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# High-Brightness Beam Current Limit in RF Field

Y.BATYGIN (AS&E)

Analytical solution for self-consistent particle equilibrium distribution
in RF field with applied transverse focusing is found. Solution is attained in
approximation of high brightness beam. Distribution function in phase space is
determined as a stationary function of the energy integral. It is shown that particle
distribution of the bright beam always tends to such a shape that the space charge
beam potential is opposite to the external potential regardless of the applied field.
Equipartitioning for beam distribution between degrees of freedom follows directly
from the choice of stationary distribution function. Analytical expressions for r-z
equilibrium beam profile and beam current limit in RF field are
obtained.

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