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Paper detail

Modeling Magnetic Fields with Helical Solutions to Laplace's Equation

The series solution to Laplace's equation in a helical coordinate system is derived and refined using symmetry and chirality arguments. These functions and their more commonplace counterparts are used to model solenoidal magnetic fields via linear, multidimensional curve-fitting. A judicious choice of functional forms, a small number of free parameters and sparse input data can lead to highly accurate, fine-grained modeling of solenoidal magnetic fields, including helical features arising from the winding of the solenoid, with overall field accuracy at better than one part per million.

preprint2020arXivOpen access
Brian PollackRyan PellicoCole KampaHenry GlassMichael Schmitt
hep-exphysics.ins-det
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Brian PollackRyan PellicoCole KampaHenry GlassMichael Schmitt

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