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Electromagnetic Scattering by Bianisotropic Spheres
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
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
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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Modal Projection for Quasi-Homogeneous Anisotropic Turbulence
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]
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]
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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Incorporation of anisotropic scattering into the method of characteristics
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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Obtaining Potential Field Solution with Spherical Harmonics and Finite Differences [PDF]
Potential magnetic field solutions can be obtained based on the synoptic magnetograms of the Sun. Traditionally, a spherical harmonics decomposition of the magnetogram is used to construct the current and divergence free magnetic field solution.
Bart van der Holst +4 more
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Some Addition Theorems for Spin-Weighted Spherical Harmonics
We 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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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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