Results 31 to 40 of about 334,564 (72)
From Spherical Harmonics to Gaussian Beampatterns
AcousticsThe use of multipoles, otherwise called spherical wavefunctions, has been explored for acoustic fields that can be omnidirectional, for example, in scattering theory.
Kevin J. Parker, Miguel A. Alonso
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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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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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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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A theoretical study of sound field reconstruction techniques
, 2007 Three different methods for the physical analysis and synthesis of sound fields are presented and compared: the least squares method, a method based on the Kirchhoff-Helmholtz integral equation and the generalised Fourier transform method (based on ...
Nelson, Philip A., Fazi, Filippo Maria
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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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Spherical harmonics for surface parametrisation and remeshing [PDF]
, 2015 This paper proposes a novel method for parametrisation and remeshing incomplete and irregular polygonal meshes. Spherical harmonics basis functions are used for parametrisation.
Neuman, Bartosz P. +3 more
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