Geodesic
Vector spherical harmonics in~3-D vector tomography
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 131-143

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A method of series expansion with the aid of vector spherical harmonics intended for inverting line integrated experimental (Doppler) data is proposed to investigate the 3-D vector fields in laboratory plasmas in spherical tokamak devices. A number of numerical computations demonstrating the 3-D reconstruction of the model vector fields have been performed to assess the inversion method proposed. 
@article{SJVM_2009_12_2_a1,
     author = {A. L. Balandin},
     title = {Vector spherical harmonics {in~3-D} vector tomography},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {131--143},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2009_12_2_a1/}
}
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A. L. Balandin. Vector spherical harmonics in~3-D vector tomography. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 2, pp. 131-143. http://geodesic.mathdoc.fr/item/SJVM_2009_12_2_a1/