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Everything about Vector spherical harmonics
Extension of the scalar spherical harmonics for use with vector fields
In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for use with vector fields. The components of the VSH are complex-valued functions expressed in the spherical coordinate basis vectors. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Vector spherical harmonicsA 5-minute orientation
- Skim a recent paper: Vector Spherical Harmonics for Data‐Assimilative Neutral Wind EstimationInfluential work since 2022
- Pick up a classic book: Réseaux euclidiens, designs sphériques et formes modulairesThe most-reprinted book on the subject
- Read the landmark paper: Vector spherical harmonics and their application to magnetostaticsCited 197 times
- Go sideways: Multipole radiationA closely related topic
- Go sideways: Spherical multipole momentsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Vector spherical harmonics and their application to magnetostatics
The Theory of Vector Spherical Harmonics
Analysis of astrometric catalogues with vector spherical harmonics
Analysis of lithospheric magnetization in vector spherical harmonics
Analytical expansion of highly focused vector beams into vector spherical harmonics and its application to Mie scattering
The Local Stellar Velocity Field via Vector Spherical Harmonics
Monopole vector spherical harmonics
Vector spherical harmonics and their application to classical electrodynamics
🆕 Influential since 2022
Vector Spherical Harmonics for Data‐Assimilative Neutral Wind Estimation
Application of Vector Spherical Harmonics to the Magnetization of Mars' Crust
On using vector spherical harmonics
VSHPIC: a particle-in-cell algorithm based on vector spherical harmonics expansion
A Linear Operator Method to Compute the Normal Modes with Rotation of any Asymmetric 3D Planet with Pure Vector Spherical Harmonics
📚 Books worth reading
- 📕Réseaux euclidiens, designs sphériques et formes modulairesJacques Martinet · 2001
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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