Longitudinal phase-space matching between radio-frequency systems with different harmonic numbers and accelerating voltages

TL;DR

This paper presents a reversible method for transforming longitudinal phase-space distributions between RF systems with different harmonics and voltages, preserving emittance and enabling applications like rapid bunch shortening.

Contribution

It introduces simple equations and a mechanism for phase-space matching between RF systems with different parameters, which was not previously detailed.

Findings

The method preserves longitudinal emittance during transformation.

Equations characterizing the phase-space matching are provided.

Application to rapid bunch shortening in proton rings is discussed.

Abstract

We describe a simple mechanism to transform bunches with matched longitudinal phase-space distributions from one RF system to a matched distribution of a second RF system operating on a different harmonic and with a different accelerating voltage. The process is reversible and the longitudinal emittance is preserved. Simple equations that characterize the procedure are given and applications are discussed. In particular this method can be used to rapidly shorten the bunch length in proton rings.