S2AxisFieldharmonic handles axis fields on the sphere. Axis can be understood as three-dimensional vectors without direction or length.
S2AxisFieldHarmonic handles functions of the form
\[ f\colon {\bf S}^2\to{\bf R}^3_{/<\pm \mathrm{Id}>}. \]
Defining a S2AxisFieldHarmonic
Definition via function values
At first you need some vertices
Next you define function values for the vertices
Now the actual command to get sAF1
of type S2AxisFieldHarmonic
Definition via function handle
If you have a function handle for the function you could create a S2AxisFieldHarmonic
via quadrature. At first lets define a function handle which takes vector3d
as an argument and returns antipodal vector3d
:
Now you can call the quadrature command to get sAF2
of type S2AxisFieldHarmonic
Visualization
One can use the default plot
-command
- same as quiver(sAF1)
or use the 3D plot of a sphere with the axis on itself