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2-D Inverse Problem: Ideal Current Distribution Generating a Magnetic Force Field with Given Constraints on Homogeneity

In: Optimization and Inverse Problems in Electromagnetism

Author

Listed:
  • Lionel Quettier

    (GREEN, Groupe de Recherche en Electronique et Electrotechnique)

  • Alain Mailfert

    (GREEN, Groupe de Recherche en Electronique et Electrotechnique)

Abstract

Generation of uniform field of magnetic forces in a given domain is a problem with various applications. The main idea is to compensate the gravity by means of a magnetic force acting on a small diamagnetic volume. This paper deals with a way of identifying ideal current distributions able to generate a quasi- uniform force field. Based on one particular expression of the complex magnetic potential, an inverse methodology, which is valid for structures with plane symmetry (2-D field), has been worked out. Currents are modeled by purely surface (or thin shell) current distributions.

Suggested Citation

  • Lionel Quettier & Alain Mailfert, 2003. "2-D Inverse Problem: Ideal Current Distribution Generating a Magnetic Force Field with Given Constraints on Homogeneity," Springer Books, in: Marek Rudnicki & Sławomir Wiak (ed.), Optimization and Inverse Problems in Electromagnetism, pages 125-137, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-2494-4_14
    DOI: 10.1007/978-94-017-2494-4_14
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