2015, ISBN 9788132223603, 170

eBook

Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 03/2018, Volume 28, Issue 3, pp. 453 - 485

This paper deals with the analysis of the behavior of a Spherical Harmonics Expansion (SHE) model associated with an oscillating electrostatic potential.

energy method | homogenization | degenerate parabolic equations | Kinetic equations | cell-operator | two-scale limit | spherical harmonics expansion model | semiconductors | SYSTEM | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | APPROXIMATION | POTENTIALS | MACROSCOPIC MODELS | LINEAR BOLTZMANN-EQUATION | DIFFUSION LIMIT

energy method | homogenization | degenerate parabolic equations | Kinetic equations | cell-operator | two-scale limit | spherical harmonics expansion model | semiconductors | SYSTEM | MATHEMATICS, APPLIED | KINETIC-EQUATIONS | APPROXIMATION | POTENTIALS | MACROSCOPIC MODELS | LINEAR BOLTZMANN-EQUATION | DIFFUSION LIMIT

Journal Article

The Journal of Chemical Physics, ISSN 0021-9606, 09/2017, Volume 147, Issue 9, p. 094107

We show that generalized spherical harmonics are well suited for representing the space and orientation molecular density in the resolution of the molecular...

HYDRATION FREE-ENERGIES | INVARIANT EXPANSION | FLUIDS | SOLVATION FREE-ENERGIES | ORNSTEIN-ZERNIKE EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | POLAR-SOLVENTS | INTEGRAL-EQUATION THEORY | INTERACTION SITE MODEL | WATER | LIQUIDS | Solvents | Solvation | Euler angles | Convolution | Spherical harmonics | Density functional theory | Free energy | Material chemistry | Chemical Sciences

HYDRATION FREE-ENERGIES | INVARIANT EXPANSION | FLUIDS | SOLVATION FREE-ENERGIES | ORNSTEIN-ZERNIKE EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | POLAR-SOLVENTS | INTEGRAL-EQUATION THEORY | INTERACTION SITE MODEL | WATER | LIQUIDS | Solvents | Solvation | Euler angles | Convolution | Spherical harmonics | Density functional theory | Free energy | Material chemistry | Chemical Sciences

Journal Article

IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 10/2017, Volume 65, Issue 10, pp. 5503 - 5510

A procedure is proposed to significantly reduce the amount of time to characterize 3-D antenna far-field patterns. The measured far field is expanded into...

Antenna measurements | spherical harmonics | Three-dimensional displays | compact antenna test range | antenna pattern | Harmonic analysis | Frequency measurement | Compressed sensing | compressive sensing | Antenna radiation patterns | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Electronics | Engineering Sciences | Networking and Internet Architecture | Computer Science

Antenna measurements | spherical harmonics | Three-dimensional displays | compact antenna test range | antenna pattern | Harmonic analysis | Frequency measurement | Compressed sensing | compressive sensing | Antenna radiation patterns | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Electronics | Engineering Sciences | Networking and Internet Architecture | Computer Science

Journal Article

2014, ISBN 9814596698, xii, 143

Book

Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 16, pp. 5597 - 5614

We present a novel application of filters to the spherical harmonics ( P N ) expansion for radiative transfer problems in the high-energy-density regime. The...

Spherical harmonics method | Radiative transfer | P-N EQUATIONS | RIEMANN SOLVERS | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | P-1 | HYDRODYNAMICS | MONTE-CARLO METHOD | TIME | DIFFUSION | PHYSICS, MATHEMATICAL | Universities and colleges | Monte Carlo methods | Spherical harmonics | Mathematical analysis | Preserves | Hohlraums | Mathematical models | Diffusion | RADIANT HEAT TRANSFER | MONTE CARLO METHOD | APPROXIMATIONS | CALCULATION METHODS | DISCRETE ORDINATE METHOD | EQUATIONS | HEAT TRANSFER | ENERGY DENSITY | FUNCTIONS | MATHEMATICS | MATHEMATICAL SOLUTIONS | ENERGY TRANSFER | SPHERICAL HARMONICS | SPHERICAL HARMONICS METHOD | MATHEMATICAL METHODS AND COMPUTING | GEOMETRY

Spherical harmonics method | Radiative transfer | P-N EQUATIONS | RIEMANN SOLVERS | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | P-1 | HYDRODYNAMICS | MONTE-CARLO METHOD | TIME | DIFFUSION | PHYSICS, MATHEMATICAL | Universities and colleges | Monte Carlo methods | Spherical harmonics | Mathematical analysis | Preserves | Hohlraums | Mathematical models | Diffusion | RADIANT HEAT TRANSFER | MONTE CARLO METHOD | APPROXIMATIONS | CALCULATION METHODS | DISCRETE ORDINATE METHOD | EQUATIONS | HEAT TRANSFER | ENERGY DENSITY | FUNCTIONS | MATHEMATICS | MATHEMATICAL SOLUTIONS | ENERGY TRANSFER | SPHERICAL HARMONICS | SPHERICAL HARMONICS METHOD | MATHEMATICAL METHODS AND COMPUTING | GEOMETRY

Journal Article

Sensors (Switzerland), ISSN 1424-8220, 12/2017, Volume 17, Issue 12, p. 2780

In this paper, we propose a new algorithm to reconstruct optics surfaces (aka wavefronts) from gradients, defined on a circular domain, by means of the...

Surface reconstruction from gradients | Spherical harmonics | Algorithm | Zernike-polynomials | Wavefront reconstruction from gradients | POLYNOMIALS | ELECTROCHEMISTRY | spherical harmonics | CHEMISTRY, ANALYTICAL | zernike-polynomials | INSTRUMENTS & INSTRUMENTATION | wavefront reconstruction from gradients | LATERAL SHEARING INTERFEROMETRY | surface reconstruction from gradients | MICROSCOPY | algorithm | Reconstruction | Zernike polynomials | Computer simulation | Optics | Source code | Wave fronts | Freeware | Algorithms | Algebra | Lasers | Linear algebra | Libraries

Surface reconstruction from gradients | Spherical harmonics | Algorithm | Zernike-polynomials | Wavefront reconstruction from gradients | POLYNOMIALS | ELECTROCHEMISTRY | spherical harmonics | CHEMISTRY, ANALYTICAL | zernike-polynomials | INSTRUMENTS & INSTRUMENTATION | wavefront reconstruction from gradients | LATERAL SHEARING INTERFEROMETRY | surface reconstruction from gradients | MICROSCOPY | algorithm | Reconstruction | Zernike polynomials | Computer simulation | Optics | Source code | Wave fronts | Freeware | Algorithms | Algebra | Lasers | Linear algebra | Libraries

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 18, pp. 6181 - 6192

We accelerate the computation of spherical harmonic transforms, using what is known as the butterfly scheme. This provides a convenient alternative to the...

Spherical harmonic | Butterfly | Transform | Algorithm | Interpolative decomposition | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | Algorithms | Computer Science - Numerical Analysis

Spherical harmonic | Butterfly | Transform | Algorithm | Interpolative decomposition | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | Algorithms | Computer Science - Numerical Analysis

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 09/2018, Volume 465, Issue 1, pp. 331 - 347

The aim of the article is to generalize the method presented in [3, Theorem 1] by G. Ambartsoumian, R. Gouia-Zarrad and M. Lewis for recovering functions from...

Inversion formula | Spherical harmonics | Spherical transform | MATHEMATICS | MATHEMATICS, APPLIED | INVERSION FORMULAS

Inversion formula | Spherical harmonics | Spherical transform | MATHEMATICS | MATHEMATICS, APPLIED | INVERSION FORMULAS

Journal Article

International Journal of Solids and Structures, ISSN 0020-7683, 12/2016, Volume 100-101, pp. 169 - 186

A unified method to evaluate the fundamental solutions for generally anisotropic multi-field materials is presented. Based on the relation between the Rayleigh...

Elliptic operators | Fundamental solutions | Multi-field materials | Spherical harmonics | Boundary element method | MECHANICS | 3-DIMENSIONAL GREENS-FUNCTIONS | SOLIDS | BEM | DERIVATIVES | Anisotropy

Elliptic operators | Fundamental solutions | Multi-field materials | Spherical harmonics | Boundary element method | MECHANICS | 3-DIMENSIONAL GREENS-FUNCTIONS | SOLIDS | BEM | DERIVATIVES | Anisotropy

Journal Article

The Journal of Physical Chemistry B, ISSN 1520-6106, 11/2014, Volume 118, Issue 46, pp. 13066 - 13076

Protein–ligand interactions are central to many biological applications, including molecular recognition, protein formulations, and bioseparations. Complex,...

MOLECULAR-DYNAMICS | PAIR POTENTIALS | GUANIDINIUM CHLORIDE SOLUTIONS | NMR-SPECTROSCOPY | HYDROPHOBIC HYDRATION | LENGTH SCALES | DRUG DISCOVERY | CHEMISTRY, PHYSICAL | SCALED-PARTICLE THEORY | CHROMATOGRAPHY | BINDING REGIONS | Guanidines - chemistry | Protein Structure, Tertiary | Benzene - metabolism | Ubiquitin - chemistry | Ubiquitin - metabolism | Water - chemistry | Benzene - chemistry | Hydrophobic and Hydrophilic Interactions | Ligands | Guanidines - metabolism | Molecular Dynamics Simulation | Proteins | Molecular dynamics | Analysis | Binding | Spherical harmonics | Mathematical models | Coordination compounds | Density | Three dimensional

MOLECULAR-DYNAMICS | PAIR POTENTIALS | GUANIDINIUM CHLORIDE SOLUTIONS | NMR-SPECTROSCOPY | HYDROPHOBIC HYDRATION | LENGTH SCALES | DRUG DISCOVERY | CHEMISTRY, PHYSICAL | SCALED-PARTICLE THEORY | CHROMATOGRAPHY | BINDING REGIONS | Guanidines - chemistry | Protein Structure, Tertiary | Benzene - metabolism | Ubiquitin - chemistry | Ubiquitin - metabolism | Water - chemistry | Benzene - chemistry | Hydrophobic and Hydrophilic Interactions | Ligands | Guanidines - metabolism | Molecular Dynamics Simulation | Proteins | Molecular dynamics | Analysis | Binding | Spherical harmonics | Mathematical models | Coordination compounds | Density | Three dimensional

Journal Article

Acta Crystallographica Section A, ISSN 2053-2733, 11/2018, Volume 74, Issue 6, pp. 640 - 646

An accurate description of the diffraction line profile from nanocrystalline powders can be obtained by a spherical harmonics expansion of the profile...

line profile analysis | domain size broadening | nanocrystalline materials | powder diffraction | SIZE | INTENSITY | X-RAY-DIFFRACTION | CRYSTALLOGRAPHY | DEBYE FUNCTION-ANALYSIS | CHEMISTRY, MULTIDISCIPLINARY | NANOPARTICLES | SMALL CRYSTALLITES | SHAPE | SCATTERING EQUATION | Diffraction patterns | Spherical powders | Crystallites | Diffraction | Computer simulation | Spherical harmonics | Crystals

line profile analysis | domain size broadening | nanocrystalline materials | powder diffraction | SIZE | INTENSITY | X-RAY-DIFFRACTION | CRYSTALLOGRAPHY | DEBYE FUNCTION-ANALYSIS | CHEMISTRY, MULTIDISCIPLINARY | NANOPARTICLES | SMALL CRYSTALLITES | SHAPE | SCATTERING EQUATION | Diffraction patterns | Spherical powders | Crystallites | Diffraction | Computer simulation | Spherical harmonics | Crystals

Journal Article

International Journal of Quantum Chemistry, ISSN 0020-7608, 11/2015, Volume 115, Issue 22, pp. 1587 - 1596

Spherical‐harmonics expansion method is proposed to solve the quantum time‐evolution equations for density matrices numerically in momentum space. This method...

density matrix | plasma oscillation | spherical‐harmonics expansion | multiphoton ionization | quantum electron dynamics | spherical-harmonics expansion | LASER | FIELD | SEMICONDUCTORS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | EQUATIONS | CHEMISTRY, PHYSICAL | SPACE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS | IONIZATION

density matrix | plasma oscillation | spherical‐harmonics expansion | multiphoton ionization | quantum electron dynamics | spherical-harmonics expansion | LASER | FIELD | SEMICONDUCTORS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | EQUATIONS | CHEMISTRY, PHYSICAL | SPACE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS | IONIZATION

Journal Article

IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 07/2018, Volume 66, Issue 7, pp. 3610 - 3622

A methodology for modeling the Far field (FF) radiated by antennas subject to random variabilities with surrogate models of high efficiency is presented...

Adaptation models | surrogate model | Antenna theory | Patch antennas | Stochastic processes | Predictive models | stochastic modeling | textile antennas | polynomial chaos | Textiles | Antenna radiation patterns | DESIGN | FREQUENCY | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Deformation | Antenna design | Computer simulation | Spherical harmonics | Formability | Modelling | Polynomials | Curves (geometry) | Model accuracy | Design optimization

Adaptation models | surrogate model | Antenna theory | Patch antennas | Stochastic processes | Predictive models | stochastic modeling | textile antennas | polynomial chaos | Textiles | Antenna radiation patterns | DESIGN | FREQUENCY | TELECOMMUNICATIONS | ENGINEERING, ELECTRICAL & ELECTRONIC | Deformation | Antenna design | Computer simulation | Spherical harmonics | Formability | Modelling | Polynomials | Curves (geometry) | Model accuracy | Design optimization

Journal Article

2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), ISSN 1520-6149, 04/2018, Volume 2018-, pp. 4634 - 4638

The mutual coherence provides a basis for deriving recovery guarantees in compressed sensing. In this paper, the mutual coherence of spherical harmonics...

Antenna measurements | spherical harmonics | Coherence | Harmonic analysis | Robot sensing systems | sparse recovery | Sparse matrices | Compressed sensing | Spherical harmonics | Sparse recovery

Antenna measurements | spherical harmonics | Coherence | Harmonic analysis | Robot sensing systems | sparse recovery | Sparse matrices | Compressed sensing | Spherical harmonics | Sparse recovery

Conference Proceeding

Journal of Computational Physics, ISSN 0021-9991, 2012, Volume 231, Issue 2, pp. 243 - 250

Spherical harmonics are employed in a wide range of applications in computational science and physics, and many of them require the rotation of functions. We...

Spherical harmonics | Rotation | Reproducing kernel Hilbert spaces | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATRICES | POINTS | PHYSICS, MATHEMATICAL | Algorithms | Accuracy | Computation | Mathematical analysis | Mathematical models | Sampling | Position (location)

Spherical harmonics | Rotation | Reproducing kernel Hilbert spaces | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MATRICES | POINTS | PHYSICS, MATHEMATICAL | Algorithms | Accuracy | Computation | Mathematical analysis | Mathematical models | Sampling | Position (location)

Journal Article

IEEE Transactions on Vehicular Technology, ISSN 0018-9545, 07/2016, Volume 65, Issue 7, pp. 5695 - 5700

This paper considers the 3-D spatial fading correlation (SFC) resulting from an angle-of-arrival (AoA) distribution that can be modeled by a mixture of...

Correlation | Three-dimensional displays | Closed-form solutions | Computational modeling | Angle of arrival (AoA) | Fisher–Bingham distribution (FB-distribution) | Harmonic analysis | multiple-input multiple-output | spatial correlation | spherical harmonic expansion | Arrays | Standards | Fisher-Bingham distribution (FB-distribution) | DIMENSIONALITY | PERFORMANCE | TRANSPORTATION SCIENCE & TECHNOLOGY | TELECOMMUNICATIONS | ARRAYS | ENGINEERING, ELECTRICAL & ELECTRONIC | Fading | Computation | Spherical harmonics | Mathematical analysis | Exact solutions | Mathematical models

Correlation | Three-dimensional displays | Closed-form solutions | Computational modeling | Angle of arrival (AoA) | Fisher–Bingham distribution (FB-distribution) | Harmonic analysis | multiple-input multiple-output | spatial correlation | spherical harmonic expansion | Arrays | Standards | Fisher-Bingham distribution (FB-distribution) | DIMENSIONALITY | PERFORMANCE | TRANSPORTATION SCIENCE & TECHNOLOGY | TELECOMMUNICATIONS | ARRAYS | ENGINEERING, ELECTRICAL & ELECTRONIC | Fading | Computation | Spherical harmonics | Mathematical analysis | Exact solutions | Mathematical models

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2008, Volume 227, Issue 8, pp. 4260 - 4279

We provide an efficient algorithm for calculating, at appropriately chosen points on the two-dimensional surface of the unit sphere in R 3 , the values of...

Recurrence | FFT | Spherical harmonic | Spectral | Transform | Special function | Fast | Algorithm | spectral | FAST MULTIPOLE METHOD | PHYSICS, MATHEMATICAL | EIGENPROBLEM | recurrence | special function | transform | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | fast | spherical harmonic | algorithm | FFTS | Algorithms

Recurrence | FFT | Spherical harmonic | Spectral | Transform | Special function | Fast | Algorithm | spectral | FAST MULTIPOLE METHOD | PHYSICS, MATHEMATICAL | EIGENPROBLEM | recurrence | special function | transform | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | fast | spherical harmonic | algorithm | FFTS | Algorithms

Journal Article

IEEE Antennas and Wireless Propagation Letters, ISSN 1536-1225, 04/2019, Volume 18, Issue 4, pp. 646 - 650

Far-field patterns of wire antennas on a PEC sphere are calculated from quasi-static near fields using spherical harmonic expansion. Three cases of the wire...

Dipole antennas | Harmonic analysis | multipole radiation | quasi-static fields | Antenna accessories | spherical harmonics | F-antenna | near field | Magnetic resonance imaging | method of images | Wires | far field | Current distribution | TELECOMMUNICATIONS | RADIATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Dipoles | Spherical harmonics | Wire | Electric wire | Charge distribution | Charge density | Thermal expansion | Mathematical analysis | Far fields | Near fields | Method of images | Antennas

Dipole antennas | Harmonic analysis | multipole radiation | quasi-static fields | Antenna accessories | spherical harmonics | F-antenna | near field | Magnetic resonance imaging | method of images | Wires | far field | Current distribution | TELECOMMUNICATIONS | RADIATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Dipoles | Spherical harmonics | Wire | Electric wire | Charge distribution | Charge density | Thermal expansion | Mathematical analysis | Far fields | Near fields | Method of images | Antennas

Journal Article

Physics of Plasmas, ISSN 1070-664X, 10/2019, Volume 26, Issue 10

The Boltzmann equation describes the evolution of the electron and ion distributions in a plasma over time through a six-dimensional phase space. For highly...

Spherical harmonics | Scattering | Energy distribution | Electromagnetic forces | Ions | Maxwell's equations | Electromagnetic fields | Collision dynamics | Operators (mathematics) | Time dependence | Collisional plasmas | Momentum transfer | Flux density | Mathematical analysis | Spherical plasmas | Boltzmann transport equation | Continuity | Electric fields | Distribution functions | Low temperature

Spherical harmonics | Scattering | Energy distribution | Electromagnetic forces | Ions | Maxwell's equations | Electromagnetic fields | Collision dynamics | Operators (mathematics) | Time dependence | Collisional plasmas | Momentum transfer | Flux density | Mathematical analysis | Spherical plasmas | Boltzmann transport equation | Continuity | Electric fields | Distribution functions | Low temperature

Journal Article

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