Magnetic design constraints of helical solenoids

TL;DR

This paper explores the geometric design constraints and tunability limits of helical solenoids used in muon collider cooling channels, focusing on their magnetic field components and correction systems.

Contribution

It provides a detailed analysis of the geometric parameters affecting helical solenoid magnetic fields and discusses design strategies for tunability and correction systems.

Findings

Identified key geometric parameters influencing magnetic field components.

Analyzed the limits of geometric tunability for helical solenoid design.

Proposed auxiliary correction systems for improved magnetic field control.

Abstract

Helical solenoids have been proposed as an option for a Helical Cooling Channel for muons in a proposed Muon Collider. Helical solenoids can provide the required three main field components: solenoidal, helical dipole, and a helical gradient. In general terms, the last two are a function of many geometric parameters: coil aperture, coil radial and longitudinal dimensions, helix period and orbit radius. In this paper, we present design studies of a Helical Solenoid, addressing the geometric tunability limits and auxiliary correction system.