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Figure 7
Representation of some components of the basis Zl, n, m regarding their former angular and radial components Yml and R1l,n. Since the spherical harmonics Yml are only defined on the surface of the sphere, the representation of the basis components Zl, n, m includes several spheres whose radius is contained in the interval [0, 1] to have a better graphical representation of the whole component. The real component would be obtained by stacking all the spheres (whose radii belong to the interval [0, 1]) concentrically. Each point in the three representations corresponds to the value obtained when evaluating the corresponding functions on a grid.

Volume 8| Part 6| November 2021| Pages 992-1005
ISSN: 2052-2525