Results 21 to 30 of about 91,388 (321)
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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Modal Projection for Quasi-Homogeneous Anisotropic Turbulence
Atmosphere, 2023 This article, or essay, addresses the anisotropic structure and the dynamics of quasi-homogeneous, incompressible turbulence. Modal projection and expansions in terms of spherical harmonics in three-dimensional Fourier space are in line with a seminal ...
Ying Zhu, Claude Cambon
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Continuous Head-related Transfer Function Representation Based on Hyperspherical Harmonics [PDF]
Archives of Acoustics, 2023 Expressing head-related transfer functions (HRTFs) in the spherical harmonic (SH) domain has been thoroughly studied as a method of obtaining continuity over space. However, HRTFs are functions not only of direction but also of frequency.
Adam Szwajcowski
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Some characterizations of the spherical harmonics coefficients for isotropic random fields [PDF]
, 2006 In this paper we provide some simple characterizations for the spherical harmonics coefficients of an isotropic random field on the sphere. The main result is a characterization of isotropic gaussian fields through independence of the coefficients of ...
Baldi, P., Marinucci, D.
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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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Incorporation of anisotropic scattering into the method of characteristics
Nuclear Engineering and Technology, 2022 In this study, we incorporate an anisotropic scattering scheme involving spherical harmonics into the method of characteristics (MOC). The neutron transport solution in a light water reactor can be significantly improved because of the impact of an ...
Anisur Rahman, Deokjung Lee
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IEEE Access, 2019 Recently, a modeling method for head-related transfer functions (HRTFs) in the spatial domain is proposed based on spherical wavelets. Because spherical wavelets are local functions on the sphere, HRTF local features can be efficiently represented by ...
Huaping Liu, Yong Fang, Qinghua Huang
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Some Addition Theorems for Spin-Weighted Spherical Harmonics
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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Mathematics, 2023 The gravity force of a gravity field generated by a non-rotating level ellipsoid of revolution enclosing mass M is given as a solution of a partial differential equation along with a boundary condition of Dirichlet type. The partial differential equation
Gerassimos Manoussakis
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The empirical process on Gaussian spherical harmonics [PDF]
, 2004 We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian random field in the presence of an unknown angular power spectrum. This result suggests various Gaussianity tests with an asymptotic justification.
Domenico Marinucci +3 more
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