Proof-of-Principle Design of a High-Field Overpass/Underpass Nb₃Sn Dipole

A block coil geometry is appealing in the body of particle accelerator dipole or quadrupole magnets, but less so in the ends of conventional designs, because conductors near the midplane of the beam tube must be bent in the hard direction to cross over to the other side of the tube. To avoid damage to brittle conductors such as Nb ₃ Sn or HTS, the bend must be very gradual, resulting in undesirably long magnet ends. An alternative design - “overpass/underpass” or “cloverleaf” - can ramp the conductor within a short length with bending only in the easy direction. Described here is a proof-of-principle design and analysis of an “overpass/underpass” coil geometry for a block coil dipole of 11 T or more.