  In this paper, we describe a harmonic kicker system used in the beam exchange
scheme for the Circulator Cooling Ring (CCR) of the Jefferson Lab Electron Ion
Collider(JLEIC). By delivering an ultra-fast deflecting kick, a kicker directs
electron bunches selectively in/out of the CCR without degrading the beam
dynamics of the CCR optimized for ion beam cooling. We will discuss the design
principle of the kicker system and demonstrate its performance with various
numerical simulations. In particular, the degrading effects of realistic
harmonic kicks on the beam dynamics, such as 3D kick field profiles interacting
with the magnetized beam, is studied in detail with a scheme that keeps the
cooling efficiency within allowable limits.
