Results 31 to 40 of about 7,623 (154)
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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AppliedMathThe G-modified Helmholtz equation is a partial differential equation that enables us to express gravity intensity g as a series of spherical harmonics having radial distance r in irrational powers.
Gerassimos Manoussakis
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Advances in High Energy Physics, 2016 The azimuthal and magnetic quantum numbers of spherical harmonics Ylm(θ,ϕ) describe quantization corresponding to the magnitude and z-component of angular momentum operator in the framework of realization of su(2) Lie algebra symmetry.
H. Fakhri
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The sand grain and the butterfly. Instability in geodesy and geophysics
Annals of Geophysics, 1997 The problems of convergence of series in celestial mechanics and of certain series in geodesy (Molodensky's series and spherical harmonics) show similar features, involving a curious instability. This is imaginatively expressed as the « butterfly effect»
H. Moritz
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High-Order Harmonics Generation Using Spherical and Non-Spherical Nanoparticles
NanomaterialsThe conversion efficiency of 800 nm, 65 fs radiation toward high-order harmonic generation (HHG) in laser-induced plasmas containing spherical and non-spherical nanoparticles (NPs) produced during the laser ablation of different metals in water using ...
Rashid A. Ganeev, Aigars Atvars
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Failing to Reflect Reality: Gaussian Splatting’s Collapse on Non-Lambertian Surfaces
IEEE Open Journal of Signal ProcessingWe explore the applicability of Gaussian Splatting (GS) to the view synthesis (VS) of non-Lambertian objects. Materials with anisotropic appearance have always been a failure case for VS, until the recent introduction of spherical harmonics promising ...
Eva Dubar +3 more
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Tensor series expansion of a spherical function for the use in constitutive theory of materials containing orientable particles; pp 73-92 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 This paper presents a didactical introduction to a tensor series expansion of a spherical function for the use in constitutive theory of materials containing orientable particles. In several application areas a function of two angles, e.g. an orientation
Heiko Herrmann, Miriam Beddig
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Transformation of Irregular Solid Spherical Harmonics at Parallel Translation of the Coordinate System [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 When studying physical phenomena in spatial regions bounded by spherical or slightly non-spherical surfaces, spherical functions and solid spherical harmonics are widely used.
A.A. Aganin, A.I. Davletshin
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Limitations and Performance Analysis of Spherical Sector Harmonics for Sound Field Processing
Applied SciencesDeveloping spherical sector harmonics (SSHs) benefits sound field decomposition and analysis over spherical sector regions. Although SSHs demonstrate potential in the field of spatial audio, a comprehensive investigation into their properties and ...
Hanwen Bi +4 more
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