Modeling magnetic fields with helical solutions to Laplace’s equation

  title={Modeling magnetic fields with helical solutions to Laplace’s equation},
  author={Brian Pollack and Ryan Pellico and Cole Kampa and H. Glass and Michael Henry Schmitt},
  journal={Nuclear Instruments \& Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment},
  • B. PollackR. Pellico M. Schmitt
  • Published 8 January 2019
  • Physics
  • Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment



Helical harmonics for static fields.

  • P. Overfelt
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2001
Helical harmonic solutions of Laplace's equation are derived using a right-handed nonorthogonal helical coordinate system and a modified separation of variables technique to solve the boundary value problem of two nested helices.

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