Abstract
We describe a framework to assemble permanent-magnet cubes in 3D-printed frames to construct dipole, quadrupole, and solenoid magnets, whose field, in the absence of iron, can be calculated analytically in three spatial dimensions. Rotating closely spaced dipoles and quadrupoles in opposite directions allows us to adjust the integrated strength of a multipole. The contributions of unwanted harmonics were calculated and found to be moderate. We then combined multiple magnets to construct beam-line modules: a chicane, a triplet cell, and a solenoid focusing system.
Highlights
Various types of magnets play important roles in many physics laboratories
In order to calculate the magnetic fields from the cubes in three dimensions, we used the closed-form expressions from [3], which allowed us to prepare MATLAB [4] scripts to determine the relevant field quantities and the multipole contents of the magnets in parameterized form
Based on the analytic results for the magnetic fields from permanent magnets from [3], we explored the use of permanent-magnet cubes to create dipoles, quadrupoles, and solenoids
Summary
Various types of magnets play important roles in many physics laboratories. they are often expensive and require long lead times to order. In order to calculate the magnetic fields from the cubes in three dimensions, we used the closed-form expressions from [3], which allowed us to prepare MATLAB [4] scripts to determine the relevant field quantities and the multipole contents of the magnets in parameterized form. This proves very convenient to adapt the design to different sized cubes, different geometries, and other multipolarities. In order to illustrate the use of the variable multipoles, we combined several such magnets to beam-line modules, which was inspired by the early permanent-magnet based anti-proton recycler ring at Fermilab [8] and, more recently, by CBETA [9]
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