On the magnetic field near the center of Helmholtz coils

ORAL

Abstract

We develop a series expansion for the calculation of the magnetic field near the center of Helmholtz coils and apply the result to a magnet of our design. Our analysis considers geometric details of the coils, the magnetic properties of the form and windings, conductor insulation effects, and several winding imperfections. We also consider the relaxation of coil symmetry which happens when the mean radius of each coil and the coil midplane separation distance are unequal. We compute the field uniformity near the coil's center for three cases, including one where axial symmetry remains but geometric imperfections of the order of 10$^{-3}$ of the coil ``radius'' exist.

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Authors

  • Michael Crosser

    Linfield College

  • A.N. Behkami

    Kent State University, Reed College, Western Washington University, Washington State University, Department of Physics, University of Idaho, Department of Physics, Whitman College, SciPrint.org, STScI, Physics Dept., Montana State University, Bozeman, MT 59717, Chemistry Dept., Montana State University, Bozeman, MT 59717, Physics Dept., Montana State University, Bozeman, MT 59717; Institut fuer Physik, Technical University Ilmenau, 98693 Ilmenau, Germany, Centre College, Islamic Azad University, Department of Physics, Fars Science and Research Center

  • A.N. Behkami

    Kent State University, Reed College, Western Washington University, Washington State University, Department of Physics, University of Idaho, Department of Physics, Whitman College, SciPrint.org, STScI, Physics Dept., Montana State University, Bozeman, MT 59717, Chemistry Dept., Montana State University, Bozeman, MT 59717, Physics Dept., Montana State University, Bozeman, MT 59717; Institut fuer Physik, Technical University Ilmenau, 98693 Ilmenau, Germany, Centre College, Islamic Azad University, Department of Physics, Fars Science and Research Center

  • A.N. Behkami

    Kent State University, Reed College, Western Washington University, Washington State University, Department of Physics, University of Idaho, Department of Physics, Whitman College, SciPrint.org, STScI, Physics Dept., Montana State University, Bozeman, MT 59717, Chemistry Dept., Montana State University, Bozeman, MT 59717, Physics Dept., Montana State University, Bozeman, MT 59717; Institut fuer Physik, Technical University Ilmenau, 98693 Ilmenau, Germany, Centre College, Islamic Azad University, Department of Physics, Fars Science and Research Center