General Info

Installation

>>> pip install OskarFieldModule

Importing

>>> import Field

Functions for calculating and plotting electromagnetic fields and potentials in 3d.

Functions

Efield, Epot

Field and potential from line charge parallel to x, y or z axis. Can be placed anywhere in 3D

EfieldCircle, EpotCircle

Field and potential from circle charge in origin

BfieldLine

Field from line current parallel to x, y or z axis. Can be placed anywhere in 3D

BfieldCircle

Field from circular current in origin

PlotVector

Plots vector field. Customize colorscheme, density, and figsize

PlotContour

Plots vector field. Customize colorscheme, levels, norm and figsize

PlotCircle

Plots circle just using radius

See example code below:

Single Point Charge

>>> L = 2
>>> N = 10
>>> Q = [1.0]
>>> r_Q = np.array([[0.0, 0.0, 0.0]])
>>> plane = 'xy'

>>> rx, ry, Ex, Ey = CalculateEfield(L, N, Q, r_Q, plane)
>>> PlotVector(rx, ry, Ex, Ey, 'quiver', show = True)

>>> N = 100
>>> rx, ry, V = CalculateEpot(L, N, Q, r_Q, plane)
>>> PlotContour(rx, ry, V, show=True)
## Double Point Charge Example     

>>> L = 2
>>> N = 100
>>> Q = [2.0, -2.0]
>>> r_Q = [-1, 1]
>>> r_Q = np.array([[-1.0, 0.0, 0.0], [1.0, 0.0, 0.0]])
>>> plane = 'xy'

>>> rx, ry, Ex, Ey = CalculateEfield(L, N, Q, r_Q, plane)
>>> PlotVector(rx, ry, Ex, Ey, 'stream', show = True, broken_streamlines = False)

Point Charge Field

Point Charge Potential

Double Point Charge Field

Double Line Charge Example

>>> L = 2
>>> N = 50
>>> line_charges = [-1, 1]
>>> line_lengths = [1, 1]
>>> line_center_coords = [[0, 0, -1], [0, 0, 1]]
>>> axis = ['x', 'x']
>>> plane = 'xz'

>>> rx, rz, Ex, Ez = CalculateEfieldLine(L, N, line_charges, line_lengths, line_center_coords, axis, plane)
>>> rx, rz, V = CalculateEpotLine(L, N, line_charges, line_lengths, line_center_coords, axis, plane)

>>> PlotVector(rx, rz, Ex, Ez, 'stream', broken_streamlines = False, show = True)
>>> PlotContour(rx, rz, V, show = True, norm = 'linear') 

Line Charge Field

Line Charge Potential

Circular Charge Example

>>> L = 5
>>> N = 100
>>> circle_charge = [5]
>>> radius = [2]
>>> plane = 'yz'
>>> plane_circles = ['yz']
>>> ry, rz, Ey, Ez = CalculateEfieldCircle(L, N, circle_charge, radius, plane, plane_circles)
>>> PlotVector(ry, rz, Ey, Ez, 'stream', show = False, equal = True)

>>> t = np.linspace(0, 2*np.pi, 100)
>>> plt.plot(radius[0]*np.cos(t), radius[0]*np.sin(t))
>>> plt.show()

>>> N = 500
>>> ry, rz, V = CalculateEpotCircle(L, N, circle_charge, radius, plane, plane_circles)
>>> PlotContour(ry, rz, V, show = False, equal = True)

>>> t = np.linspace(0, 2*np.pi, 100)
>>> plt.plot(radius[0]*np.cos(t), radius[0]*np.sin(t))
>>> plt.show()

Circular Charge Field

Circular Charge Potential

Line Current Example

>>> L = 5
>>> N = 24
>>> line_currents = [5]
>>> line_lengths = [1]
>>> line_center_coords = [[0.0, 0.0, 0.0]]
>>> axis = ['x']
>>> plane = 'yz'

>>> rx, rz, Bx, Bz = CalculateBfieldLine(L, N, line_currents, line_lengths, line_center_coords, axis, plane)

>>> PlotVector(rx, rz, Bx, Bz, 'quiver', title = 'Magnetic Field from Lin e Current', show = True)

Line Current Magnetic Field

Circular Current Example

>>> L = 8
>>> N = 40
>>> circle_currents = [5]
>>> radii = [5]
>>> plane = 'xz'
>>> circle_planes = ['xy']
>>> rx, rz, Bx, Bz = CalculateBfieldCircle(L, N, circle_currents, radii, plane, circle_planes)

>>> PlotVector(rx, rz, Bx, Bz, 'stream', broken_streamlines=False, show = True, cmap = 'inferno', density = .5)   

Circular Current Magnetic Field

GitHub