Vol. 146

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues

Transformation Inside a Null-Space Region and a DC Magnetic Funnel for Achieving an Enhanced Magnetic Flux with a Large Gradient

By Fei Sun and Sailing He
Progress In Electromagnetics Research, Vol. 146, 143-153, 2014


The idea of transformation inside a null-space region is introduced for the first time, and used to design a novel DC magnetic compressor that concentrates DC magnetic flux greatly and behaves as a DC magnetic funnel. The proposed device can be used as a passive DC magnetic lens to achieve an enhanced DC magnetic field (e.g. 7.9 times or more depending on the size and other parameters of the compressor) with a large gradient (e.g. 400T/m or more) in free space. After some theoretical approximation, the proposed device can be easily constructed by using a combination of superconductors and ferromagnetic materials. Numerical simulations are given to verify the performance of our device. The proposed method (use a null-space region as the reference space) can be extended to reduce the material requirement when designing other devices with transformation optics.


Fei Sun and Sailing He, "Transformation Inside a Null-Space Region and a DC Magnetic Funnel for Achieving an Enhanced Magnetic Flux with a Large Gradient," Progress In Electromagnetics Research, Vol. 146, 143-153, 2014.


    1. Ripka, P. and M. Janosek, "Advances in magnetic field sensors," IEEE Sens. J., Vol. 10, 1108-1116, 2010.

    2. Brown, M. A. and R. C. Semelka, "MRI: Basic Principles and Applications," Wiley-Blackwell, 2010.

    3. Veiseh, O., J. W. Gunn, and M. Zhang, "Design and fabrication of magnetic nanoparticles for targeted drug delivery and imaging," Advanced Drug Delivery Reviews, Vol. 62, No. 3, 284-304, 2010.

    4. Dobson, J., "Magnetic micro- and nano-particle-based targeting for drug and gene delivery," Nanomedicine, Vol. 1, No. 1, 31-37, 2006.

    5. Matsumoto, S., T. Asano, T. Kiyoshi, and H. Wada, "Magnetic flux concentration using YBCO hollow and solid cylinders," IEEE Trans. Appl. Supercond, Vol. 14, 1666-1669, 2004.

    6. Zhang, Z. Y., S. Choi, S. Matsumoto, R. Teranishi, G. Giunchi, A. F. Albisetti, and T. Kiyoshi, "Magnetic lenses using di®erent MgB2 bulk superconductors," Supercond. Sci. Technol., Vol. 25, No. 2, 025009, 2012.

    7. Asano, T., K. Itoh, S. Matsumoto, T. Kiyoshi, H. Wada, and G. Kido, "Enhanced concentration of the magnetic °ux in a superconducting cylinder," IEEE Trans. Appl. Supercond., Vol. 15, No. 2, 3157-3160, 2005.

    8. Kiyoshi, T., S. Choi, S. Matsumoto, T. Asano, and D. Uglietti, "Magnetic flux concentrator using Gd-Ba-Cu-O bulk superconductors," IEEE Trans. Appl. Supercond., Vol. 19, No. 3, 2174-2177, 2009.

    9. Gomory, F., M. Solovyov, J. Souc, C. Navau, J. Prat-Camps, and A. Sanchez, "Experimental realization of a magnetic cloak," Science, Vol. 335, No. 6075, 1466-1468, 2012.

    10. Supradeep, N. and Y. Sato, "DC magnetic cloak," Advanced Materials, Vol. 24, No. 1, 71-74, 2012.

    11. Navau, C., J. Prat-Camps, and A. Sanchez, "Magnetic energy harvesting and concentration at a distance by transformation optics," Phys. Rev. Lett., Vol. 109, 263903, 2012.

    12. Sun, F. and S. He, "Create a uniform static magnetic field over 50T in a large free space region," Progress In Electromagnetics Research, Vol. 137, 149-157, 2013.

    13. Sun, F. and S. He, "DC magnetic concentrator and omnidirectional cascaded cloak by using only one or two homogeneous anisotropic materials of positive permeability," Progress In Electromagnetics Research, Vol. 142, 683-699, 2013.

    14. Sun, F. and S. He, "Novel magnetic lens for static magnetic field enhancement," PIERS Proceedings, 1689-1691, Stockholm, Sweden, Aug. 12-15, 2013.

    15. Sun, F. and S. He, "Static magnetic field concentration and enhancement using magnetic materials with positive permeability," Progress In Electromagnetic Research, Vol. 142, 579-590, 2013.

    16. Navau, C., J. Prat-Camps, O. Romero-Isart, J. I. Cirac, and A. Sanchez, "Magnetic hose: Routing and long-distance transportation of magnetic fields,", arXiv: 1304.6300, 2013.

    17. Leonhardt, U. and T. G. Philbin, Geometry and Light: Science of Invisibility, Dover, 2010.

    18. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, No. 5781, 1780-1782, 2006.

    19. Kolm, H. H., "The large-scale manipulation of small particle,", Vol. 11, No. 5, 1567-1569, 1975.

    20. Svoboda, J., Magnetic Techniques for the Treatment of Materials, 641, Kluwer Academic Publishers, Dordrecht, 2004.

    21. Choi, J.-W., T. M. Liakopoulos, and C. H. Ahn, "An on-chip magnetic bead separator using spiral electromgnets with semi-encapsulated permalloy," Biosensors and Bioelectronics, Vol. 16, No. 4, 409-416, 2001.

    22. Yavuz, C. T., A. Prakash, J. T. Mayo, and V. L. Colvin, "Magnetic separations: From steel plants to biotechnology," Chemical Engineering Science, Vol. 64, No. 10, 2510-2521, 2009.

    23. Inglis, D. W., R. Riehn, J. C. Sturm, and R. H. Austin, "Microfluidic high gradient magnetic cell separation," Journal of Applied Physics, Vol. 99, No. 8, 08K101, 2006.

    24. Yeunf, S. W. and I. M. Hsing, "Manipulation and extraction of genomic DNA from cell lysate by functionalized magnetic particles for lab on a chip applications," Biosnensors and Bioelectronics, Vol. 21, No. 7, 989-997, 2005.

    25. Coey, J. M. D. and S. Cass, "Magnetic water treatment," Journal of Magnetism and Magnetic Materials, Vol. 209, No. 1, 71-74, 2000.

    26. Karapinar, N., "Magnetic separation of ferrihydrite from wastewater by magnetic seeding and high-gradient magnetic separation," International Journal of Mineral Processing, Vol. 71, No. 1, 45-54, 2003.

    27. Aoyagi, S., A. Yano, Y. Yanagida, E. Tanihira, A. Tagawa, and M. Iimoto, "Control of chemical reaction involving dissolved oxygen using magnetic field gradient," Chemical Physics, Vol. 331, No. 1, 137-141, 2006.

    28. Jin, F., Z. Ren, W. Ren, K. Deng, Y. Zhong, and J. Yu, "Effects of a high-gradient magnetic field on the migratory behavior of primary crystal silicon in hypereutectic Al-Si alloy," Science and Technology of Advanced Materials, Vol. 9, No. 2, 024202, 2008.

    29. Rahm, M., S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, "Optical design of reflectionless complex media by finite embedded coordinate transformations," Phys. Rev. Lett., Vol. 100, 063903, 2008.

    30. He, Q., S. Xiao, X. Li, and L. Zhou, "Optic-null medium: Realization and applications," Opt. Express, Vol. 21, No. 23, 28948-28959, 2013.

    31. Wang, W., L. Lin, X. Yang, J. Cui, C. Du, and X. Luo, "Design of oblate cylindrical perfect lens using coordinate transformation," Opt. Express, Vol. 16, No. 11, 8094-8105, 2008.

    32. Chen, H., X. Zhang, X. Luo, H. Ma, and C. T. Chan, "Reshaping the perfect electrical conductor cylinder arbitrarily," New Journal of Physics, Vol. 10, 113016, 2008.