Inverse Biot–Savart Optimization for Superconducting Accelerator Magnets

Superconducting (SC) magnets for accelerator concepts are often synthesized by numerically optimizing magnetic field waveforms, a process that requires subsequent solution of constrained inverse problem to identify suitable SC magnet windings. When the desired distribution is intuitive, facilitated seeding preconceived coil distributions into design optimization methods refinement. With more complex distributions, an initial may be unknown, and topology tools required synthesize current without priori guidance from subject matter expert. In this work, we develop Biot-Savart methodology synthesizes optimal density in racetrack-like coils. The structure exploited through computationally efficient quadratic programming formulation, method applied recently published waveforms recirculating proton phase shifter, therapy gantry, dipole with sharp transitions. results herein novel winding configurations can help designers bring fruition.