Abstract
Selection (spatial in homogenous) and excitation (spatially homogenous) fields are designed with Halbach magnets for magnetic particle imaging (MPI) and magnetic resonance imaging (MRI). Permanent magnet parameters (length and remanent flux density) and geometrical parameters (fill factor (FF), number of magnets, and system radius) are key factors for Halbach applications. The effect of fill factor ratio at magnetic flux density was investigated with 4 and 8 cylindrical magnets. A new mathematical expression was developed for accurate placement of the magnets even at 100% filling ratio (FF = 1). Numerical simulations were conducted for the proposed model and magnetic flux density of 4 magnets system was 17% more accurate as compared to the model in the literature.
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REFERENCES
J. C. Mallinson, IEEE Trans. Magn. 9, 678 (1973).
K. Halbach, IEEE Trans. Nucl. Sci. 26, 3882 (1979).
K. Halbach, Nucl. Instrum. Methods Phys. Res. 169, 1 (1980).
M. W. Vogel, A. Giorni, V. Vegh, R. Pellicer-Guridi, and D. C. Reutens, PLoS One 11 (6) (2016).
K. Turek and P. Liszkowski, J. Magn. Reson. 238, 52 (2014).
C. W. Windt, H. Soltner, D. van Dusschoten, and P. A. Blümler, J. Magn. Reson. 208, 27 (2011).
S. Anferova, V. Anferov, J. Arnold, E. Talnishnikh, M. A. Voda, K. Kupferschläger, and B. Blümich, Magn. Reson. Imaging 25, 474 (2007).
C. Z. Cooley, J. P. Stockmann, B. D. Armstrong, M. Sarracanie, M. H. Lev, M. S. Rosen, and L. L. Wald, Magn. Reson. Med. 73, 872 (2015).
C. Zimmerman Cooley, M. W. Haskell, S. F. Cauley, C. Sappo, C. D. Lapierre, C. G. Ha, and L. L. Wald, IEEE Trans. Magn. 54 (1) (2017).
J. Konkle, P. Goodwill, and S. Conolly, in Medical Imaging 2011: Biomedical Applications in Molecular, Structural, and Functional Imaging, Proc. SPIE 7965, 79650X (2011).
M. Weber, J. Beuke, and A. von Gladiss, Int. J. Magn. Part. Imaging 4 (2) (2018).
H. Bagheri, C. A. Kierans, K. J. Nelson, B. A. Andrade, C. L. Wong, A. L. Frederick, and M. E. Hayden, in Proceedings of the 5th International Workshop on Magnetic Particle Imaging (IWMPI), Istanbul, Turkey, March 26–28, 2015 (IEEE, 2015), p. 1.
P. Babinec, A. Krafčík, M. Babincová, and J. Rosenecker, Med. Biol. Eng. Comput. 48, 745 (2010).
A. Sarwar, A. Nemirovski, and B. Shapiro, J. Magn. Magn. Mater. 324, 742 (2012).
H. Soltner and P. Blümler, Concepts Magn. Reson., Part A 36, 211 (2010).
F. Balcı, Master Thesis (Yıldız Tech. Univ., Istanbul, 2020).
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This work was supported by the Scientific and Technological Research Council of Turkey under Grant TUBITAK 115E776&115E777.
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The authors declare that there is no conflict of interest.
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Balcı, F., Bingolbali, A., Dogan, N. et al. Optimization of Fill Factor Equation in Halbach Design. Tech. Phys. Lett. 47, 158–161 (2021). https://doi.org/10.1134/S106378502102019X
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DOI: https://doi.org/10.1134/S106378502102019X