Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids
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DOI: 10.1007/s10444-017-9569-1
Abstract: We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical surface. Built upon suitable analytic formulas… read more here.
Keywords: vector; spherical harmonic; spherical vector; vector spherical ... See more keywords
Active compensation of magnetic field distortions based on vector spherical harmonics field description
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DOI: 10.1063/1.4978394
Abstract: An analytic solution to the magnetostatic inverse problem in the framework of vector spherical harmonic basis functions is presented. This formalism is used for the design of a spherical magnetic field compensation system and its… read more here.
Keywords: field; compensation; vector spherical; harmonics ... See more keywords
Decomposition of scattered electromagnetic fields into vector spherical wave functions on surfaces with general shapes
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DOI: 10.1103/physrevb.99.045406
Abstract: Decomposing the field scattered by an object into vector spherical harmonics (VSH) is the prime task when discussing its optical properties on more analytical grounds. Thus far, it was frequently required in the decomposition that… read more here.
Keywords: decomposition; electromagnetic fields; vector spherical; scattered electromagnetic ... See more keywords
Vector spherical wave function truncation in the invariant imbedding T-matrix method.
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DOI: 10.1364/oe.459648
Abstract: Both the computational costs and the accuracy of the invariant-imbedding T-matrix method escalate with increasing the truncation number N at which the expansions of the electromagnetic fields in terms of vector spherical harmonics are truncated.… read more here.
Keywords: matrix method; truncation; invariant imbedding; imbedding matrix ... See more keywords