Algorithm for the deflector plates of the 1 MHz chopper for the Kaon Factory

The Kaon Factory at TRIUMF requires a 1 MHz chopper to create appropriate gaps in the extracted 1 GeV/c H- beam from the cyclotron. Deflection of bunches to be eliminated by the 1 MHz chopper will be predominantly provided by an electric field between a set of deflector plates, although there will be a magnetic component of deflection too. Previous simulations to calculate angular deflection of beam particles in the deflector plates approximated the plates as 8 sections, and only considered plates of one length. This paper presents the results of time-domain mathematical simulations to assess errors introduced by approximating the deflector plates using a finite number of sections. In order to validate the mathematical model of the deflector plates the predictions are compared with analytical equations for angular deflection for the situation where center-fed plates are energized by a step-function. Predictions of angular deflection are presented for four configurations of deflector plates in order to confirm that center-feeding is the best option considered