A Conical Accelerator Magnet With Unique CCT Properties

The Canted-Cosine-Theta (CCT) magnet is known for generating high-quality multipole fields using a continuous winding scheme on a cylindrical surface. In this work, we extend this concept to a conical surface, demonstrating that the distinctive properties of CCT magnets are preserved. The conical CCT dipole presents advantages in confined spaces or environments where multiple beams interact, such as at the interaction points (IP) of particle accelerators. The deployment of conical CCT magnets has the potential reducing the number of magnets along beam lines while still meeting optical specifications. We introduce a discrete winding scheme of line currents for a dipole on a conical surface and provide the magnetic field generated along its length.