Transformation of spherical harmonic and Cartesian magnetic field expansion coefficients

Transformation properties of magnetic field expansion coefficients from spherical to Cartesian coordinates are given. Since the expansions are equivalent because they satisfy the Laplace equation, the transformation is unique. Spherical‐to‐Cartesian and Cartesian‐to‐spherical transformations are lis...

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Bibliographic Details
Published in:Review of scientific instruments 1990-05, Vol.61 (5), p.1549-1551
Main Authors: Hennessy, Michael, Zou, Hung Bin
Format: Article
Language:English
Subjects:
Exact sciences and technology
Metrology, measurements and laboratory procedures
Physics
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Summary:Transformation properties of magnetic field expansion coefficients from spherical to Cartesian coordinates are given. Since the expansions are equivalent because they satisfy the Laplace equation, the transformation is unique. Spherical‐to‐Cartesian and Cartesian‐to‐spherical transformations are listed to fifth order.
ISSN:0034-6748
1089-7623
DOI:10.1063/1.1141170