Calculating spherical harmonics without derivatives [PDF]
Condensed Matter Physics, 2018 The derivation of spherical harmonics is the same in nearly every quantum mechanics textbook and classroom. It is found to be difficult to follow, hard to understand, and challenging to reproduce by most students.
M. Weitzman, J.K. Freericks
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Some Addition Theorems for Spin-Weighted Spherical Harmonics [PDF]
UniverseWe present some addition theorems for spin-weighted spherical harmonics, generalizing previous results for scalar (spin-zero) spherical harmonics. These addition theorems involve sums over the azimuthal quantum number of products of two spin-weighted ...
Alessandro Monteverdi +1 more
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Spherical Cap Harmonic Analysis (SCHA) for Characterising the Morphology of Rough Surface Patches [PDF]
, 2021 This release includes implementations for Spherical Cap Harmonics (SCH), Hemispherical Harmonics (HSH) and Spherical Harmonics (SH) for analyzing and reconstructing open and closed surfaces. This is a stable and tested version.
Mahmoud Shaqfa +5 more
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The relationship between monopole harmonics and spinweighted spherical harmonics [PDF]
We compare two independent generalizations of the usual spherical harmonics, namely monopole harmonics and spin‐weighted spherical harmonics, and make precise the sense in which they can be considered to be the same.
Dray, Tevian
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Analysis of binning of normals for spherical harmonic cross-correlation [PDF]
, 2012 Spherical harmonic cross-correlation is a robust registration technique that uses the normals of two overlapping point clouds to bring them into coarse rotational alignment.
Michael J. Cree +5 more
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Series in vector spherical harmonics: an efficient tool for solution of nonlinear problems in spherical plasmas [PDF]
, 2000 The series expansion of the plasma fields and currents in vector spherical harmonics has been demonstrated to be an efficient technique for solution of nonlinear problems in spherically bounded plasmas.
Ostrikov, K. +5 more
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Pilot study on the influence of spatial resolution of human voice directivity on speech perception
Acta Acustica, 2022 A perceptual threshold related to spatial resolution of the human voice directivity was determined through a listening test of similarity (MUSHRA). Directivity data of an artificial talking head measured at high spatial resolution (spherical harmonics ...
Quélennec Aurian, Luizard Paul
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Electromagnetic Scattering by Bianisotropic Spheres
Applied Sciences, 2023 Electromagnetic fields in bulk bianisotropic media contain plane waves whose k-vectors can be found using the method of the index of refraction’s operator and belong to the Fresnel wave surfaces that fall into one of the five hyperbolic classes of the ...
Maxim Durach
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Spherical Harmonics for the 1D Radiative Transfer Equation. I. Reflected Light
The Astrophysical Journal, 2023 A significant challenge in radiative transfer theory for atmospheres of exoplanets and brown dwarfs is the derivation of computationally efficient methods that have adequate fidelity to more precise, numerically demanding solutions.
Caoimhe M. Rooney +2 more
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Improving Decoupled Spherical Harmonics ESPRIT Using Structured Least Squares
IEEE Access, 2018 Spherical arrays have been widely used in direction-of-arrival estimation in recent years, and most algorithms in the spherical harmonics domain typically simultaneously obtain the 2-D angles. In this paper, we first use the structured least squares (SLS)
Qinghua Huang, Lin Zhang, Yong Fang
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