RF manipulations to improve SPS spill quality in the MHz range

The Super Proton Synchrotron (SPS) at CERN will be used to deliver beams of protons for the new Search for Hidden Particles (SHiP) experiment. SHiP is a proposed fixed target experiment that aims to search for new particles beyond the Standard Model of particle physics, as predicted by various models. During its nominal operation, SHiP will require a $\sim$1s spill of $4 \times 10^{13}$ 400 GeV protons from the SPS via slow extraction. Moreover, there are also requirements for the quality of the spill, e.g., it has to be as uniform as possible at all time scales. This report will present two methods for manipulating the beam's longitudinal phase-space distribution prior to performing slow extraction. The aim is to achieve a distribution that maximizes spill quality for the SHiP experiment. First, we will formally define the objectives the methods are trying to achieve. Then, we proceed to optimize their parameters using different optimization techniques and compare their performance.