Summary

{{Information

|description=

|date=2019-10-13 |source=Own work |author=Geek3 |permission= |other versions=VFPt superconductor ball B-field.svg, VFPt superconductor cylinder B-field potential+contour.svg |other fields={{Igen|VectorFieldPlot|+|c1=

1. paste this code at the end of VectorFieldPlot 2.4

doc = FieldplotDocument('VFPt_superconductor_cylinder_B-field',

   width=600, height=600, commons=True)

field_direction = [0.0, -1.0] r = 1.2 field = Field([['homogeneous', {'Fx':field_direction[0], 'Fy':field_direction[1]}],

   ['dipole2d', {'x':0, 'y':0, 'px':-2*pi*r**2*field_direction[0],
                             'py':-2*pi*r**2*field_direction[1]}]])

1. draw the superconducting cylinder

cylinder = doc.draw_object('g', {'id':'metal_cylinder'})

def triangle_path(phi1, phi2, r):

   x1, y1 = r * cos(radians(phi1)), r * sin(radians(phi1))
   x2, y2 = r * cos(radians(phi2)), r * sin(radians(phi2))
   d = 'M {:.4f},{:.4f}'.format(x1, y1)
   d += ' A {:.4f},{:.4f} 0 0 1 {:.4f},{:.4f}'.format(r, r, x2, y2)
   d += ' L {:.4f},{:.4f}'.format(-x2, -y2)
   d += ' A {:.4f},{:.4f} 0 0 0 {:.4f},{:.4f}'.format(r, r, -x1, -y1)
   d += ' L {:.4f},{:.4f} Z'.format(x1, y1)
   return d

def grey(bright):

   return '#' + 3 * ('%02x' % int(256. * bright - 0.5))

doc.draw_object('circle', {'cx':0, 'cy':0, 'r':'{:.4f}'.format(r),

   'style':'fill:' + grey(0.75) + '; stroke:none'}, group=cylinder)

for phi0 in [0]:

   ncolors = 25
   for a in sc.linspace(.5 / ncolors, 1 - .5 / ncolors, ncolors):
       bright = 0.75 + 0.15 * a
       phi1 = phi0 - 60 * (acos(2. * a - 1) / pi)**1.5
       phi2 = phi0 + 60 * (acos(2. * a - 1) / pi)**1.5
       d = triangle_path(phi1, phi2, r)
       doc.draw_object('path', {'d':d,
           'style':'fill:' + grey(bright) + '; stroke:none'}, group=cylinder)

doc.draw_object('circle', {'cx':0, 'cy':0, 'r':str(r),

   'style':'fill:none; stroke:black; stroke-width:0.02'}, group=cylinder)

nlines = 20 for i in range(nlines):

   a = -3 + 6 * (0.5 + i) / nlines
   line = FieldLine(field, [a, 8], maxr=16, pass_dipoles=1)
   doc.draw_line(line, arrows_style={'dist':4,
       'offsets':{'leave_image':0.3, 'enter_image':0.3},
       'fixed_ends':{'leave_image':True, 'enter_image':True} })

doc.write() }} }}

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