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Description
Vector magnet technology is being developed at the Wuhan National High Magnetic Field Center (WHMFC). Vector magnets can generate magnetic fields at arbitrary angles to meet user-specific requirements, offering significant potential in fields such as topological states and electron spin manipulation. This paper presents a mathematical model for designing compact vector magnet coils. The model employs the stream function theory for the optimal design and discretization of coil current density distribution and applies Tikhonov regularization theory to impose diverse constraints and optimize magnet performance. A custom code was developed to implement this design theory, leading to the creation of a compact vector magnet. The magnet consists of three sets of coils that generate magnetic fields along the X, Y, and Z directions. Among these, the Z-direction coil adopts a multi-turn cylindrical design, while the X- and Y-direction coils feature a fingerprint-shaped design.
