The future accelerator complex of the Neutrino Factory will have an excellent
precision and outstanding discovery reach, and is therefore a facility of choice
for precise neutrino oscillation measurements. In the Neutrino Factory, muons
are accumulated into storage rings and decay to neutrinos. However, due to the
fact that the muon beam is produced occupying a large transverse phase-space,
it is essential that its emittance is decreased using ionisation cooling.
The reference ionisation cooling lattice of the Neutrino Factory has a large
magnetic field at the position of the RF cavities, and there is a strong concern
this can lead to RF breakdown. Therefore, there lies a great necessity for
alternative cooling lattices to be found.
This thesis presents several cooling lattices that were designed aiming to
mitigate the problem of the RF breakdown in the presence of a magnetic field,
that the reference lattice suffers from. In particular, amongst these lattices,
a promising new configuration which makes use of a pair of opposite polarity
and homocentric coils, named “Bucked Coils”, is presented. The Bucked Coils
lattice not only manages to successfully achieve a virtually zero longitudinal
magnetic field at the position of the RF cavities, but also obtains a better
transmission than the reference lattice. A detailed comparison between the
reference and the new lattices is presented with respect to the magnetic field,
transmission and cooling efficiency. A possible extension of the work is also
discussed.
A six-dimensional cooling could be used at a Neutrino Factory but is essential
for a Muon Collider. Another novel configuration, which aims to achieve
6D ionisation cooling, is presented in this thesis. This new lattice creates
dispersion with the use of dipoles, and a correlation between energy loss and
position with the use of wedge absorbers. A detailed description of this lattice
configuration and analysis is given, together with preliminary results
