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B-fields

Adding a 1d-field

You can use addnewdipo (from lattice.py) to add a constant b-field in a area from z_start to z_end. By using a for loop you can therefore add a 1d b-field profile as in the following example:

N        = 40                      # number of grid cells for magnetic field
mag_grid = fzeros([3,3,N],'d')     # also save information for later plotting
z_start  = 0.0
length   = 1.0
delta    = length/N

for i in range(N):
  zstart = z_start+i*delta
  zstop  = z_start+(i+1)*delta
  zmid   = (zstop+zstart)/2.0

  field  = MagField(zmid)           # MagField returns the field in Tesla

  mag_grid[:,:,i] = field
  addnewdipo(zstart,zstop,by=field)

...
# plot the b-field
ppgeneric(grid=transpose(mag_grid[:,2,:]),filled=1,contours=20,
            ymin=w3d.xmmin,ymax=w3d.xmmax,xmin=z_start,xmax=z_stop)

Adding a 2d/3d-field


Similar to the above you can add a 2d grid as follows (the example shows a constant By field):

N=40
mag_grid = fzeros([N,3,N],'d')

for i in range(N):
  zstart = z_start+i*z_delta
  zstop  = z_start+(i+1)*z_delta
  zmid   = (zstop+zstart)/2.0
   
  for j in range(N):
    xstart = x_start+j*x_delta
    xstop  = x_start+(j+1)*x_delta
    xmid   = (xstop+xstart)/2.0
   
    field  = calcBfield( zmid,xmid)
   
    mag_grid[j,:,i] = field
   
  print >> f, " "

addnewbgrd(z_start,z_stop,xs=x_start,dx=x_delta,ys=w3d.ymmin,dy=(w3d.ymmax-w3d.ymmin),nx=N,nz=N,ny=1,by=mag_grid)


Interpolating data from a measured field

If you have a data in a text file (say r[mm], B[T]) you can use this to generate a calcBfield function that case be used as in the 2d example:

#include to be able to read data from file and to interpolate
import numpy as np

#read b-field data
fielddata = np.genfromtxt("b-field.txt", delimiter=" ")
import scipy.interpolate as sp

# masage date from file into usable format
rfield = fielddata[:,0]
#scale from mm to m
rfield = rfield*mm
Bfield = fielddata[:,1]

calcBfield = sp.interpolate.interp1d(rfield, Bfield,fill_value=0.0,bounds_error=false)

...

field  = calcBfield( sqrt( (zmid-zc)*(zmid-zc)+xmid*xmid)) # could be used like this in the 2d example

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