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Description
Halbach dipole cylindrical magnets have attracted significant attention due to their ability to generate high magnetic flux density within limited space. However, the end-effect significantly impacts the uniformity of the magnetic field, hindering the application of Halbach dipole arrays, especially in low-field MRI. Currently, most optimization methods focus on adjusting the geometric configuration of the array to minimize the inhomogeneity of the magnetic field inside the magnet. Various optimization algorithms have been applied to refine the structure, improving the influence of the end-effect to varying degrees. However, these methods often suffer from parameter adjustment issues that lead to impractical configurations, low optimization efficiency, and a lack of sufficient theoretical support for the final results. This paper starts with the analytical model of the Halbach dipole array and uses the precise theoretical expression as the fitness function for the genetic algorithm. The genetic algorithm is employed to optimize the multi-layer Halbach array. Furthermore, the method is validated through progressive model refinement, which shows that the magnetic field uniformity improves as the model becomes more refined. Ideally, this method provides the theoretical solution for achieving the minimum magnetic field uniformity within a multi-layer Halbach array, and its results can serve as a valuable reference for other optimization approaches.