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vector_potential_circular_filament

cfsem::physics::circular_filament

Function vector_potential_circular_filament 

Source 
pub fn vector_potential_circular_filament(
    rzifil: (&[f64], &[f64], &[f64]),
    rzobs: (&[f64], &[f64]),
    out: &mut [f64],
) -> Result<(), &'static str>
Expand description

Off-axis A_phi component for a circular current filament in vacuum.

§Arguments

  • rzifil: (m, m, A-turns) r-coord, z-coord, and current of each filament, length m
  • rzobs: (m, m) r-coord, and z-coord of observation points, length n
  • out: (V-s/m), phi-component of magnetic vector potential at observation locations, length n

§Commentary

Near-exact formula (except numerically-evaluated elliptic integrals). The vector potential of a loop has zero r- and z- components due to symmetry, and does not vary in the phi-direction.

§References

[1] J. C. Simpson, J. E. Lane, C. D. Immer, R. C. Youngquist, and T. Steinrock, “Simple Analytic Expressions for the Magnetic Field of a Circular Current Loop,” Jan. 01, 2001. Accessed: Sep. 06, 2022. [Online]. Available: https://ntrs.nasa.gov/citations/20010038494