Method for Quality Control and the Estimation of Electron Beam Curvature for Particle Accelerator Electromagnets

Our work demonstrates the practical usage of a highly-compatible testing setup in the estimation of the effect that a given dipole electromagnet model has on the properties of an electron beam that is passed through the device’s active length. Considering the direction control application of dipole electromagnets within particle accelerators, we will primarily be concerned with determining the rotation transformation that is applied by the dipole’s field onto the electron beam’s direction vector. In order to achieve this, our work involves fundamental concepts of particle physics and electromagnetism, together with a set of magnetic field measurements performed on the device under test. Our beam deflection computations will involve the assumption that the magnetic field generated by the device is directed along a single dimension of our coordinate system. This assumption is only valid if the dipole electromagnet is correctly positioned in the electron beam’s path. In an attempt at solving this issue, our testing setup is used to correctly determine the adjustments that may be performed on the dipole’s positioning, relative to its intended mechanical configuration, such that the previously mentioned condition holds. This method has the potential of allowing for the usage of electromagnets that are moderately outside specifications, as long as the field generated by them may be considered uniform in a given aperture. In other words, our work may be used to correct field orientation errors in dipole electromagnet manufacturing, without the increased costs of completely discarding the non-compliant device and manufacturing a replacement.