Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere
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DOI: 10.1007/s00190-017-1049-3
Abstract: In order to accelerate the spherical harmonic synthesis and/or analysis of arbitrary function on the unit sphere, we developed a pair of procedures to transform between a truncated spherical harmonic expansion and the corresponding two-dimensional… read more here.
Keywords: order; spherical harmonic; degree order; harmonic expansion ... See more keywords
Analysis of the data processing strategies of spherical harmonic expansion model on global ionosphere mapping for moderate solar activity
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DOI: 10.1016/j.asr.2018.10.031
Abstract: Abstract Spherical harmonic (SH) expansion is widely used to model the global ionosphere map (GIM) of vertical total electron content (VTEC). According to the impact of different data processing methods of the SH expansion model… read more here.
Keywords: model global; harmonic expansion; spherical harmonic; expansion ... See more keywords
Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case
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DOI: 10.1063/5.0044930
Abstract: For a singleton planet $P$ with gravitational potential $V$, we show that for each $\varepsilon > 0$ there exists a planet $P'$ with gravitational potential $V'$, with $(P',V')$ "$\varepsilon$-close" to $(P,V)$ (in an appropriate $C^0$-sense)… read more here.
Keywords: harmonic expansion; spherical harmonic; brillouin sphere; gravitational potential ... See more keywords
Determination of Far Fields of Wire Antennas on a PEC Sphere Using Spherical Harmonic Expansion
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DOI: 10.1109/lawp.2019.2900291
Abstract: Far-field patterns of wire antennas on a PEC sphere are calculated from quasi-static near fields using spherical harmonic expansion. Three cases of the wire antennas—F-antenna, dipole, and resonant loop on the PEC sphere—are considered. With… read more here.
Keywords: wire antennas; harmonic expansion; spherical harmonic; expansion ... See more keywords