Transformation between surface spherical harmonic expansion of arbitrary high degree and order and double Fourier series on sphere
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geodesy"
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
Divergence-free spherical harmonic gravity field modelling based on the Runge–Krarup theorem: a case study for the Moon
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geodesy"
DOI: 10.1007/s00190-018-1177-4
Abstract: Recent numerical studies on external gravity field modelling show that external spherical harmonic series may diverge near or on planetary surfaces. This paper investigates an alternative solution that is still based on external spherical harmonic… read more here.
Keywords: field modelling; spherical harmonic; runge krarup; gravity ... See more keywords
Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
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
Analysis of the data processing strategies of spherical harmonic expansion model on global ionosphere mapping for moderate solar activity
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Space Research"
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
An effective energy-conserving contact modelling strategy for spherical harmonic particles represented by surface triangular meshes with automatic simplification
Sign Up to like & getrecommendations! Published in 2021 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2021.113750
Abstract: Abstract An effective discrete element modelling strategy for triangular mesh represented spherical harmonic particles is proposed. It features: (1) using a golden spiral lattice on the unit sphere to generate an initial triangular mesh with… read more here.
Keywords: contact; simplification; triangular mesh; modelling strategy ... See more keywords
Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: The continuous case
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Physics"
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
Investigating non-Gaussianity in Cosmic Microwave Background temperature maps using spherical harmonic phases
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2022/01/001
Abstract: In the era of precision cosmology, accurate estimation of cosmological parameters is based upon the implicit assumption of the Gaussian nature of Cosmic Microwave Background (CMB) radiation. Therefore, an important scientific question to ask is… read more here.
Keywords: spherical harmonic; temperature maps; cosmology; temperature ... See more keywords
Mapping the gravitational-wave sky with LISA: a Bayesian spherical harmonic approach
Sign Up to like & getrecommendations! Published in 2021 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stab2479
Abstract: The millihertz gravitational-wave frequency band is expected to contain a rich symphony of signals with sources ranging from Galactic white dwarf binaries to extreme mass ratio inspirals. Many of these gravitational-wave signals will not be… read more here.
Keywords: spherical harmonic; gravitational wave; wave; confusion noise ... See more keywords
Spherical Harmonic Atomic Norm and its Application to DOA Estimation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2950016
Abstract: Signal processing in the spherical harmonic (SH) domain has the advantages of analyzing a signal on the sphere with equal resolution in the whole space and of decomposite the frequency- and location-dependent components of the… read more here.
Keywords: application; harmonic atomic; atomic norm; domain ... See more keywords
Spherical Harmonic Energy Over Gaussian Sphere for Incomplete 3D Shape Retrieval
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DOI: 10.1109/access.2020.3029103
Abstract: Spherical harmonic (SH) has shown excellent advantages in terms of accuracy and efficiency in the retrieval of complete three-dimensional shapes. However, since the spherical function directly takes the shape centroid as the global reference point,… read more here.
Keywords: shape retrieval; shape; harmonic energy; gaussian sphere ... See more keywords
Determination of Far Fields of Wire Antennas on a PEC Sphere Using Spherical Harmonic Expansion
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Antennas and Wireless Propagation Letters"
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