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To reveal the key optimization considerations for the application of elliptic cross-section matrices in axial high gradient magnetic separation (HGMS), the performance of circular and elliptic matrices was investigated experimentally and theoretically, providing that the short axis of elliptic matrix was equal to the diameter of circular matrix. Three schemes were adopted to investigate the performance matrices with ratio of long axis to short axis λ of 1 (circular matrix), 1.6 and 2. Under thedoi:10.5277/ppmp18178 fatcat:633lgivavzhofle5xo3nrzw3eq