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Radial Confinement in Non-Symmetric Quadrupolar Mirrors

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Abstract

Charged particles in symmetric quadrupolar mirrors are radially confined and have an associated radial invariant. In a symmetric quadrupolar field the magnetic field modulus satisfies \( B(z) = - B(z) \) along the axis if z = 0 defines the field minimum of the mirror, and the quadrupolar field has a corresponding symmetry. The field in the anchor cells of a tandem mirror need not obey a corresponding symmetry. In this paper, the radial confinement of non-symmetric mirrors is examined by tracing sample ions in the magnetic field. It is found that for non-symmetric mirrors, particles are typically not confined, and no radial invariant exists for such devices. Without attention to this effect in the field and coil design, radial confinement of trapped particles may be lost.

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Acknowledgments

Prof. Mats Leijon is acknowledged for support.

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Authors and Affiliations

  1. Ångström Laboratory, Division of Electricity, Uppsala University, Box 534, SE-751 21, Uppsala, Sweden

    A. Hagnestål & O. Ågren

  2. Institute of Plasma Physics, Kharkov Institute of Physics and Technology, National Science Center, Akademichna st. 1, 61108, Kharkiv, Ukraine

    V. E. Moiseenko

Authors
  1. A. Hagnestål
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  2. O. Ågren
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  3. V. E. Moiseenko
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Correspondence to A. Hagnestål.

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Hagnestål, A., Ågren, O. & Moiseenko, V.E. Radial Confinement in Non-Symmetric Quadrupolar Mirrors. J Fusion Energ 32, 327–335 (2013). https://doi.org/10.1007/s10894-012-9573-x

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  • DOI: https://doi.org/10.1007/s10894-012-9573-x

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