Superconducting and Resistive Tilted Coil Magnets

TL;DR

This paper introduces the mathematical foundation and analysis of tilted coil magnets, which generate uniform transverse magnetic fields using concentric elliptical coils, with potential applications in accelerators and rotation experiments.

Contribution

It provides an original analytical framework for understanding superconducting and resistive tilted coil magnets, including exact solutions for current density and magnetic field calculations.

Findings

Superconducting tilted coils can produce ideal 'cosine-theta' current distribution.

Exact magnetic field solutions are derived for elliptical Bitter disks.

Tilted coil magnets offer promising alternatives for accelerator dipoles and rotation experiments.

Abstract

The mathematical foundation is laid for a relatively new type of magnets generating uniform transverse field - tilted coil magnets. These consist of concentric nested solenoidal coils with elliptical turns tilted at a certain angle to the central axis and current flowing in opposite directions in the coils tilted at opposite angles, generating a perfectly uniform transverse field. Both superconducting wire-wound and resistive Bitter tilted coils are discussed. An original analytical method is used to prove that the wire-wound tilted coils have the ideal distribution of the axial linear current density - "cosine-theta". Magnetic fields are calculated for a tilted Bitter coil magnet using an original exact solution for current density in an elliptical Bitter disk. Superconducting wire-wound tilted coil magnets may become an alternative for traditional dipole magnets for accelerators, and Bitter tilted coil magnets are attractive for rotation experiments with a large access port perpendicular to the field.