poloidal magnetic flux
Green function method
Parameters
source current
`I_0`
\(A\)
source radius
`r_0`
\(mm\)
source height
`z_0`
\(mm\)
field point radius
r
\(mm\)
field point height
z
\(mm\)
Output
max distance parameter `k_max^2`
`k_max^2=(4 r r_0)/((r+r_0)^2+(z-z_0)^2)`
min distance parameter `k_min^2`
`k_min^2=(4 r r_0)/((r-r_0)^2+(z-z_0)^2)`
Green function G
`G(r,z;r_0,z_0)=mu_0/(pi k) sqrt(r r_0) [(1-0.5k^2)K(k)-E(k)]`
poloidal magnetic flux `Psi`
`Psi=G I_0`
max distance `d_max`
`d_max^2=(r_1+r_0)^2+(z_1-z_0)^2`
min distance `d_min`
`d_min^2=(r_1-r_0)^2+(z_1-z_0)^2`
Green function `G_2`
`G_2= mu_0/2 [-d_min E(-k_min^2)-d_max E(k_max^2)+(k_min+d_min) K(-k_min^2)+(d_max-k_max) K(k_max^2)]`