Log in

Relevant bibliographies by topics / Spherical Harmonic method / Journal articles

To see the other types of publications on this topic, follow the link: Spherical Harmonic method.

Journal articles on the topic 'Spherical Harmonic method'

Author: Grafiati

Published: 18 May 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Spherical Harmonic method.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Snape-Jenkinson, C. J., S. Crozier, and L. K. Forbes. "NMR shim coil design utilising a rapid spherical harmonic calculation method." ANZIAM Journal 43, no. 3 (2002): 375–86. http://dx.doi.org/10.1017/s1446181100012578.

Full text

Abstract:

AbstractA rapid spherical harmonic calculation method is used for the design of Nuclear Magnetic Resonance shim coils. The aim is to design each shim such that it generates a field described purely by a single spherical harmonic. By applying simulated annealing techniques, coil arrangements are produced through the optimal positioning of current-carrying circular arc conductors of rectangular cross-section. This involves minimizing the undesirable harmonics in relation to a target harmonic. The design method is flexible enough to be applied for the production of coil arrangements that generate

APA, Harvard, Vancouver, ISO, and other styles

2

Doicu, Adrian, and Dmitry S. Efremenko. "Linearizations of the Spherical Harmonic Discrete Ordinate Method (SHDOM)." Atmosphere 10, no. 6 (2019): 292. http://dx.doi.org/10.3390/atmos10060292.

Full text

Abstract:

Linearizations of the spherical harmonic discrete ordinate method (SHDOM) by means of a forward and a forward-adjoint approach are presented. Essentially, SHDOM is specialized for derivative calculations and radiative transfer problems involving the delta-M approximation, the TMS correction, and the adaptive grid splitting, while practical formulas for computing the derivatives in the spherical harmonics space are derived. The accuracies and efficiencies of the proposed methods are analyzed for several test problems.

APA, Harvard, Vancouver, ISO, and other styles

3

Kudlicki, Andrzej, Małgorzata Rowicka, Mirosław Gilski, and Zbyszek Otwinowski. "An efficient routine for computing symmetric real spherical harmonics for high orders of expansion." Journal of Applied Crystallography 38, no. 3 (2005): 501–4. http://dx.doi.org/10.1107/s0021889805007685.

Full text

Abstract:

A numerically efficient method of constructing symmetric real spherical harmonics is presented. Symmetric spherical harmonics are real spherical harmonics with built-in invariance with respect to rotations or inversions. Such symmetry-invariant spherical harmonics are linear combinations of non-symmetric ones. They are obtained as eigenvectors of an appropriate operator, depending on symmetry. This approach allows for fast and stable computation up to very high order symmetric harmonic bases, which can be used in e.g. averaging of non-crystallographic symmetry in protein crystallography or ref

APA, Harvard, Vancouver, ISO, and other styles

4

Crowley, John W., and Jianliang Huang. "A least-squares method for estimating the correlated error of GRACE models." Geophysical Journal International 221, no. 3 (2020): 1736–49. http://dx.doi.org/10.1093/gji/ggaa104.

Full text

Abstract:

SUMMARY A new least-squares method is developed for estimating and removing the correlated errors (stripes) from the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) mission data. This method is based on a joint parametric model of the correlated errors and temporal trends in the spherical harmonic coefficients of GRACE models. Three sets of simulation data are created from the Global Land Data Assimilation System (GLDAS), the Regional Atmospheric Climate Model 2.3 (RACMO2.3) and GRACE models and used to test it. The results show that the new method improves the d

APA, Harvard, Vancouver, ISO, and other styles

5

Sun, Huiyuan, Thushara D. Abhayapala, and Prasanga N. Samarasinghe. "Time Domain Spherical Harmonic Processing with Open Spherical Microphones Recording." Applied Sciences 11, no. 3 (2021): 1074. http://dx.doi.org/10.3390/app11031074.

Full text

Abstract:

Spherical harmonic analysis has been a widely used approach for spatial audio processing in recent years. Among all applications that benefit from spatial processing, spatial Active Noise Control (ANC) remains unique with its requirement for open spherical microphone arrays to record the residual sound field throughout the continuous region. Ideally, a low delay spherical harmonic recording algorithm for open spherical microphone arrays is desired for real-time spatial ANC systems. Currently, frequency domain algorithms for spherical harmonic decomposition of microphone array recordings are ap

APA, Harvard, Vancouver, ISO, and other styles

6

Dwivedi, Priyadarshini, Gyanajyoti Routray, and Rajesh M. Hegde. "Spherical harmonics domain-based approach for source localization in presence of directional interference." JASA Express Letters 2, no. 11 (2022): 114802. http://dx.doi.org/10.1121/10.0015243.

Full text

Abstract:

This paper presents a learning-based method for source localization in the presence of directional interference under reverberant and noisy conditions. The proposed method operates on the spherical harmonic decomposition of the spherical microphone array recordings to yield spherical harmonics coefficients as the features. An attention mechanism is incorporated through a binary mask that filters out the dominant undesired source components from the features before training. A convolutional neural network is trained to map the phase and magnitude of the filtered coefficients with the location c

APA, Harvard, Vancouver, ISO, and other styles

7

SHOJAEI, M. R., A. A. RAJABI, and H. HASANABADI. "HYPER-SPHERICAL HARMONICS AND ANHARMONICS IN m-DIMENSIONAL SPACE." International Journal of Modern Physics E 17, no. 06 (2008): 1125–30. http://dx.doi.org/10.1142/s0218301308010398.

Full text

Abstract:

In quantum mechanics the hyper-spherical method is one of the most well-established and successful computational tools. The general theory of harmonic polynomials and hyper-spherical harmonics is of central importance in this paper. The interaction potential V is assumed to depend on the hyper-radius ρ only where ρ is the function of the Jacobi relative coordinate x1, x2,…, xn which are functions of the particles' relative positions.

APA, Harvard, Vancouver, ISO, and other styles

8

Yanagawa, Kazunori, Ayane Fujihira, Hideki Yamaguchi, and Nozomu Yoshizawa. "Describing the characteristics of light field in architectural spaces using spherical harmonic function." IOP Conference Series: Earth and Environmental Science 1099, no. 1 (2022): 012014. http://dx.doi.org/10.1088/1755-1315/1099/1/012014.

Full text

Abstract:

Abstract The direction, density, and diffusivity of light are important indicators of spatial characteristics in describing a three-dimensional light environment. Mury presented a method for describing, measuring, and visualizing the structure of light fields using spherical harmonics in terms of changes in the density and direction of light in three-dimensional space. We extended this study by using higher-order spherical harmonics, which would represent more diverse characteristics of the light environment. We also quantitatively described the light environment as numerical values and invest

APA, Harvard, Vancouver, ISO, and other styles

9

Wang, Jian Qiang, Hao Yuan Chen, and Yin Fu Chen. "The Analysis of the Associated Legendre Functions with Non-Integral Degree." Applied Mechanics and Materials 130-134 (October 2011): 3001–5. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.3001.

Full text

Abstract:

Spherical cap harmonic (SCH) theory has been widely used to format regional model of fields that can be expressed as the gradient of a scalar potential. The functions of this method consist of trigonometric functions and associated Legendre functions with integral-order but non-integral degree. Evidently, the constructing and computing of Legendre functions are the core content of the spherical cap functions. In this paper,the approximated calculation method of the normalized association Legendre functions with non-integral degree is introduced and an analysis of the entire order of associated

APA, Harvard, Vancouver, ISO, and other styles

10

Xiao-yong, Zhang, and Guo Ben-yu. "Spherical Harmonic–Generalized Laguerre Spectral Method for Exterior Problems." Journal of Scientific Computing 27, no. 1-3 (2006): 523–37. http://dx.doi.org/10.1007/s10915-005-9056-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Gao, Jiabao, Fubin Tu, Chengbao Hu, Daosheng Ling, and Zhijiao Zeng. "Rockfall simulation via spherical harmonic based discrete element method." Computers & Geosciences 186 (April 2024): 105573. http://dx.doi.org/10.1016/j.cageo.2024.105573.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Kolyanova, A. S. "Restoration of the orientation distribution function for materials with low lattice and sample symmetry using the harmonic method." Industrial laboratory. Diagnostics of materials 89, no. 9 (2023): 34–40. http://dx.doi.org/10.26896/1028-6861-2023-89-9-34-40.

Full text

Abstract:

A lot of the properties polycrystalline materials depend on their crystallographic texture. The most complete information about the texture can be obtained from the orientation distribution function (ODF). We present the results of recovering ODF using series expansion technique for materials with low crystal and sample symmetry. The technique of ODF restoration is based on its Fourier series expansion with symmetrical spherical harmonic functions. Real spherical harmonics which are linear combinations of general spherical harmonics were used. The model single-component texture as well as the

APA, Harvard, Vancouver, ISO, and other styles

13

Chen, Wenjin, and Robert Tenzer. "Reformulation of Parker–Oldenburg's method for Earth's spherical approximation." Geophysical Journal International 222, no. 2 (2020): 1046–73. http://dx.doi.org/10.1093/gji/ggaa200.

Full text

Abstract:

SUMMARY Parker–Oldenburg's method is perhaps the most commonly used technique to estimate the depth of density interface from gravity data. To account for large density variations reported, for instance, at the Moho interface, between the ocean seawater density and marine sediments, or between sediments and the underlying bedrock, some authors extended this method for variable density models. Parker–Oldenburg's method is suitable for local studies, given that a functional relationship between gravity data and interface geometry is derived for Earth's planar approximation. The application of th

APA, Harvard, Vancouver, ISO, and other styles

14

Jia, Maoshen, Wenbei Wang, and Ziyu Yang. "2.5D Sound Field Reproduction Using Higher Order Loudspeakers." Cybernetics and Information Technologies 15, no. 6 (2015): 5–15. http://dx.doi.org/10.1515/cait-2015-0063.

Full text

Abstract:

Abstract Using 3-Dimensional (3D) sound sources as secondary sources to 2-Dimensional (2D) sound field reproduction, it is termed 2.5-Dimensional (2.5D) sound field reproduction which is currently drawing broad interest in acoustic signal processing. In this paper we propose a method to reproduce a 2D sound field, using a circular array of 3D High Order (HO) loudspeakers, which provides a mode matching solution based on 3D wave field translation. Using the spherical addition theorem, we first obtain a spherical harmonics representation of a 2D sound field reproduced by an array of HO loudspeak

APA, Harvard, Vancouver, ISO, and other styles

15

Han, Chao, Tianshan Dong, Ming Cheng, Yu Wang, and Shenggang Liu. "A New Normalization Form Based on a General Unified Normalization Computing for the Gravitational Potential Tensor of Arbitrary Orders." Journal of Physics: Conference Series 2235, no. 1 (2022): 012074. http://dx.doi.org/10.1088/1742-6596/2235/1/012074.

Full text

Abstract:

Abstract Taking a general unified recursive algorithm for computing the normalized gravitational potential based on Cunningham's formula into account, the numerical stability of both the recursion for spherical harmonic series and the pre-processing for the spherical harmonic coefficients are discussed. Then a new method of normalizing the associated Legendre polynomial is proposed.

APA, Harvard, Vancouver, ISO, and other styles

16

Pail, R., and G. Plank. "Comparison of numerical solution strategies for gravity field recovery from GOCE SGG observations implemented on a parallel platform." Advances in Geosciences 1 (June 17, 2003): 39–45. http://dx.doi.org/10.5194/adgeo-1-39-2003.

Full text

Abstract:

Abstract. The recovery of a full set of gravity field parameters from satellite gravity gradiometry (SGG) is a huge numerical and computational task. In practice, parallel computing has to be applied to estimate the more than 90 000 harmonic coefficients parameterizing the Earth’s gravity field up to a maximum spherical harmonic degree of 300. Three independent solution strategies, i.e. two iterative methods (preconditioned conjugate gradient method, semi-analytic approach) and a strict solver (Distributed Non-approximative Adjustment), which are operational on a parallel platform (‘Graz Beowu

APA, Harvard, Vancouver, ISO, and other styles

17

Medjber, Salim, Hacene Bekkar, Salah Menouar, and Jeong Ryeol Choi. "Quantization of a 3D Nonstationary Harmonic plus an Inverse Harmonic Potential System." Advances in Mathematical Physics 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/3693572.

Full text

Abstract:

The Schrödinger solutions for a three-dimensional central potential system whose Hamiltonian is composed of a time-dependent harmonic plus an inverse harmonic potential are investigated. Because of the time-dependence of parameters, we cannot solve the Schrödinger solutions relying only on the conventional method of separation of variables. To overcome this difficulty, special mathematical methods, which are the invariant operator method, the unitary transformation method, and the Nikiforov-Uvarov method, are used when we derive solutions of the Schrödinger equation for the system. In particul

APA, Harvard, Vancouver, ISO, and other styles

18

Chaitanya, S. K., Siddharth Sriraman, Srinath Srinivasan, and Srinivasan K. "Equivalent source method based Near-field acoustic holography using machine learning." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 6 (2023): 1545–53. http://dx.doi.org/10.3397/in_2022_0213.

Full text

Abstract:

The equivalent source method has been one of the most commonly used methods for sound source localization. It involves equivalent sources spread over the source plane (or region). The pressure fields from these equivalent sources are usually spherical harmonics. But, the spherical harmonic fields are derived for the Sommerfeld boundary condition with no reflection or reverberation. Data-driven methods help perform sound source localization in a reverberant environment when no prior information about the surroundings is available. The methods studied are linear regression (LR) with Adam, linear

APA, Harvard, Vancouver, ISO, and other styles

19

Josef, J. A., and J. E. Morel. "Simplified spherical harmonic method for coupled electron-photon transport calculations." Physical Review E 57, no. 5 (1998): 6161–71. http://dx.doi.org/10.1103/physreve.57.6161.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Guo, Ben-Yu, and Wei Huang. "Mixed Jacobi-spherical harmonic spectral method for Navier–Stokes equations." Applied Numerical Mathematics 57, no. 8 (2007): 939–61. http://dx.doi.org/10.1016/j.apnum.2006.09.003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Gimbutas, Z., and L. Greengard. "A fast and stable method for rotating spherical harmonic expansions." Journal of Computational Physics 228, no. 16 (2009): 5621–27. http://dx.doi.org/10.1016/j.jcp.2009.05.014.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Awrejcewicz, J., V. A. Krysko, and I. V. Kravtsova. "Dynamics and statics of flexible axially symmetric shallow shells." Mathematical Problems in Engineering 2006 (2006): 1–25. http://dx.doi.org/10.1155/mpe/2006/35672.

Full text

Abstract:

In this work, we propose the method for the investigation of stochastic vibrations of deterministic mechanical systems represented by axially symmetric spherical shells. These structure members are widely used as sensitive elements of pressure measuring devices in various branches of measuring and control industry, machine design, and so forth. The proposed method can be easily extended for the investigation of shallow spherical shells, goffer-type membranes, and so on. The so-called charts of control parameters for a shell subjected to a transversal uniformly distributed and local harmonic lo

APA, Harvard, Vancouver, ISO, and other styles

23

Liu, Zhenghong, Haocheng Zhou, Xiyu Song, Mei Wang, and Liuqing Weng. "Multi-Objective NSGA-II Optimization for Broadband Beamforming with Spherical Harmonic Domain Assistance." Sensors 23, no. 20 (2023): 8403. http://dx.doi.org/10.3390/s23208403.

Full text

Abstract:

Sidelobe suppression is a major challenge in wideband beamforming for acoustic research, especially in high noise and reverberation environments. In this paper, we propose a multi-objective NSGA-II wideband beamforming method based on a spherical harmonic domain for spherical microphone arrays topology. The method takes white noise gain, directional index and maximum sidelobe level as the optimization objectives of broadband beamforming, adopts the NSGA-II optimization strategy with constraints to estimate the Pareto optimal solution, and provides three-dimensional broadband beamforming capabi

APA, Harvard, Vancouver, ISO, and other styles

24

Norris, A. N., and A. L. Shuvalov. "Elastodynamics of radially inhomogeneous spherically anisotropic elastic materials in the Stroh formalism." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2138 (2011): 467–84. http://dx.doi.org/10.1098/rspa.2011.0463.

Full text

Abstract:

A method for solving elastodynamic problems in radially inhomogeneous elastic materials with spherical anisotropy is presented, i.e. materials having c ijkl = c ijkl ( r ) in a spherical coordinate system { r , θ , ϕ }. The time-harmonic displacement field u ( r , θ , ϕ ) is expanded in a separation of variables form with dependence on θ , ϕ described by vector spherical harmonics with r -dependent amplitudes. It is proved that such separation of variables solution is generally possible only if the spherical anisotropy is restricted to transverse isotropy (TI) with the principal axis in the ra

APA, Harvard, Vancouver, ISO, and other styles

25

Song, Hyo-Jong, In-Hyuk Kwon, and Junghan Kim. "Characteristics of a Spectral Inverse of the Laplacian Using Spherical Harmonic Functions on a Cubed-Sphere Grid for Background Error Covariance Modeling." Monthly Weather Review 145, no. 1 (2017): 307–22. http://dx.doi.org/10.1175/mwr-d-16-0134.1.

Full text

Abstract:

Abstract In this study, a spectral inverse method using spherical harmonic functions (SHFs) represented on a cubed-sphere grid (SHF inverse) is proposed. The purpose of the spectral inverse method studied is to help with data assimilation. The grid studied is the one that results from a spectral finite element decomposition of the six faces of the cubed sphere on Gauss–Legendre–Lobatto (GLL) points with equiangular gnomonic projection. For a given discretization of the cube in this form, as the total wavenumber of the test functions increases, there comes a point at which the cube’s eigenstruc

APA, Harvard, Vancouver, ISO, and other styles

26

Suzuki, Yukika, Izumi Tsunokuni, and Yusuke Ikeda. "2.5 dimensional sound field reproduction based on mode matching and equivalent sources considering primary reflections." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 268, no. 1 (2023): 7203–9. http://dx.doi.org/10.3397/in_2023_1079.

Full text

Abstract:

Many sound field reproduction methods using many loudspeakers (secondary sources) have been studied to reproduce a physically-accurate sound field. In our previous research, we proposed a pressure matching method using the modeled transfer functions of the secondary sources based on the sparse equivalent source method (ESM). By modeling the sound field emitted from the loudspeaker, the number of measurement points required for pressure matching can be significantly reduced. Moreover, another well-known method of sound field reproduction is Mode Matching (MM). In the MM method, the driving func

APA, Harvard, Vancouver, ISO, and other styles

27

Burnham, Christian J., and Niall J. English. "A New Relatively Simple Approach to Multipole Interactions in Either Spherical Harmonics or Cartesians, Suitable for Implementation into Ewald Sums." International Journal of Molecular Sciences 21, no. 1 (2019): 277. http://dx.doi.org/10.3390/ijms21010277.

Full text

Abstract:

We present a novel derivation of the multipole interaction (energies, forces and fields) in spherical harmonics, which results in an expression that is able to exactly reproduce the results of earlier Cartesian formulations. Our method follows the derivations of Smith (W. Smith, CCP5 Newsletter 1998, 46, 18.) and Lin (D. Lin, J. Chem. Phys. 2015, 143, 114115), who evaluate the Ewald sum for multipoles in Cartesian form, and then shows how the resulting expressions can be converted into spherical harmonics, where the conversion is performed by establishing a relation between an inner product on

APA, Harvard, Vancouver, ISO, and other styles

28

Vadon, A., J. J. Heizmann, and C. Laruelle. "A Quantitative Texture Analysis of Pluri-Crystals by Texture Goniometry." Advances in X-ray Analysis 30 (1986): 429–37. http://dx.doi.org/10.1154/s0376030800021583.

Full text

Abstract:

To understand how a material evolves - its crystal growth, topotaxy, twinning, phase transformation, plastic deformation, microstress, etc. - it is important to know the crystal orientations, either between them or in respect to the sample.The crystal texture of the material is quantified by the Orientation Distribution Function (O.D.F.). This function represents the part of the material volume having a given orientation. To compute this O.D.F, we must first measure one or several complete or incomplete pole figures and then analyse them either with Roe-Bunge's harmonic method or with Vadon, R

APA, Harvard, Vancouver, ISO, and other styles

29

Wang, Zhong-Qing, Rong Zhang, and Ben-Yu Guo. "Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems." International Journal of Computer Mathematics 87, no. 9 (2010): 2123–42. http://dx.doi.org/10.1080/00207160802617020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Huang, Wei, and Ben-yu Guo. "Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations." Applied Mathematics and Mechanics 29, no. 4 (2008): 453–76. http://dx.doi.org/10.1007/s10483-008-0404-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Mikucki, Michael, and Yongcheng Zhou. "Fast Simulation of Lipid Vesicle Deformation Using Spherical Harmonic Approximation." Communications in Computational Physics 21, no. 1 (2016): 40–64. http://dx.doi.org/10.4208/cicp.oa-2015-0029.

Full text

Abstract:

AbstractLipid vesicles appear ubiquitously in biological systems. Understanding how the mechanical and intermolecular interactions deform vesicle membranes is a fundamental question in biophysics. In this article we develop a fast algorithm to compute the surface configurations of lipid vesicles by introducing surface harmonic functions to approximate themembrane surface. This parameterization allows an analytical computation of the membrane curvature energy and its gradient for the efficient minimization of the curvature energy using a nonlinear conjugate gradient method. Our approach drastic

APA, Harvard, Vancouver, ISO, and other styles

32

Wittmann, Ronald C., Carl F. Stubenrauch, and Michael H. Francis. "Using Truncated Data Sets in Spherical-Scanning Antenna Measurements." International Journal of Antennas and Propagation 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/979846.

Full text

Abstract:

We discuss the mitigation of truncation errors in spherical-scanning measurements by use of a constrained least-squares estimation method. The main emphasis is the spherical harmonic representation of probe transmitting and receiving functions; however, our method is applicable to near-field measurement of electrically small antennas for which full-sphere data are either unreliable or unavailable.

APA, Harvard, Vancouver, ISO, and other styles

33

Yin, Weidong, Leizheng Shu, Yang Yu, and Yu Shi. "Free-Vertex Tetrahedral Finite-Element Representation and Its Use for Estimating Density Distribution of Irregularly-Shaped Asteroids." Aerospace 8, no. 12 (2021): 371. http://dx.doi.org/10.3390/aerospace8120371.

Full text

Abstract:

In this article, we present a free-vertex tetrahedral finite-element representation of irregularly shaped small bodies, which provides an alternative solution for estimating asteroid density distribution. We derived the transformations between gravitational potentials expressed by the free-vertex tetrahedral finite elements and the spherical harmonic functions. Inversely, the density of each free-vertex tetrahedral finite element can be estimated via the least-squares method, assuming a spherical harmonic gravitational function is present. The proposed solution is illustrated by modeling gravi

APA, Harvard, Vancouver, ISO, and other styles

34

Valdez, Marc Andrew, Alex J. Yuffa, and Michael B. Wakin. "On-grid compressive sampling for spherical field measurements in acoustics." Journal of the Acoustical Society of America 152, no. 4 (2022): 2240–56. http://dx.doi.org/10.1121/10.0014628.

Full text

Abstract:

We derive a compressive sampling method for acoustic field reconstruction using field measurements on a pre-defined spherical grid that has theoretically guaranteed relations between signal sparsity, measurement number, and reconstruction accuracy. This method can be used to reconstruct band limited spherical harmonic or Wigner D-function series (spherical harmonic series are a special case) with sparse coefficients. Contrasting typical compressive sampling methods for Wigner D-function series that use arbitrary random measurements, the new method samples randomly on an equiangular grid, a pra

APA, Harvard, Vancouver, ISO, and other styles

35

Getman, Andriy, and Oleksandr Konstantinov. "Finding an analytical solution for the cylinder’s fluxmetric demagnetizing factor using spherical harmonics." Eastern-European Journal of Enterprise Technologies 2, no. 5 (128) (2024): 33–41. http://dx.doi.org/10.15587/1729-4061.2024.301008.

Full text

Abstract:

The work examines an analytical solution for calculating the fluxmetric demagnetizing factor of cylindrical magnets at large values of magnetic susceptibility and an arbitrary value of elongation. The application of the analytical solution for calculating the demagnetizing factor significantly simplifies the modeling and calculation of magnetic characteristics of cylindrical technical objects. A simplified analytical model of the scalar potential of the magnetic field of a cylinder with infinite magnetic favorability, inductively magnetized in a uniform magnetic field, was constructed using an

APA, Harvard, Vancouver, ISO, and other styles

36

Famoriji, Oluwole John, and Thokozani Shongwe. "Spherical Atomic Norm-Inspired Approach for Direction-of-Arrival Estimation of EM Waves Impinging on Spherical Antenna Array with Undefined Mutual Coupling." Applied Sciences 13, no. 5 (2023): 3067. http://dx.doi.org/10.3390/app13053067.

Full text

Abstract:

A spherical antenna array (SAA) is an array-designed arrangement capable of scanning in almost all the radiation sphere with constant directivity. It finds recent applications in aerospace, spacecraft, vehicular and satellite communications. Therefore, estimation of the direction-of-arrival (DoA) of electromagnetic (EM) waves that impinge on an SAA with unknown mutual coupling called for research attention. This paper proposed a spherical harmonic atomic norm minimization (SHANM) for DoA estimation using an SAA configuration. The gridless sparse signal recovery problem is considered in the sph

APA, Harvard, Vancouver, ISO, and other styles

37

Shinobu, Naoki, Toma Yoshimatsu, Hiroaki Itou, Shihori Kozuka, Noriyoshi Kamado, and Yoichi Haneda. "Time domain virtual sensing method based on a rigid-sphere transfer function for active noise control headrests." Journal of the Acoustical Society of America 154, no. 4_supplement (2023): A123. http://dx.doi.org/10.1121/10.0022993.

Full text

Abstract:

Active noise control (ANC) is expected to be used in public transportation such as airplanes and trains. While using these applications, passengers prefer not to wear earphones or ear microphones, if possible, to reduce ear strain. However, conventional ANC systems require a physical microphone, which acts as an error sensor, at the ear position. To address this issue, a virtual sensing technique has been studied that uses a microphone mounted on a seat’s headrest to estimate the sound pressure at the ear position. In this study, we propose a virtual sensing technique that interpolates the sou

APA, Harvard, Vancouver, ISO, and other styles

38

Lakeev, Ivan Y. "STUDY OF SPATIAL DISTRIBUTION OF EARTH GRAVITATIONAL FIELD BY SPECTRAL WINDOW LIMITING METHOD." Vestnik SSUGT (Siberian State University of Geosystems and Technologies) 25, no. 4 (2020): 37–44. http://dx.doi.org/10.33764/2411-1759-2020-25-4-37-44.

Full text

Abstract:

The article shows how windows are formed by successively combining harmonics и into a separate group, which act as a lowpass or high harmonic bandpass filter. Manipulation of spectral window width allows to get information about the nature of gravity field spatial distribution in certain frequency ranges. The degree range of the harmonic window was selected so that the result was oriented towards the actual source of the gravity disturbance. Calculations of spectrozonal models of quasi-geoid field height of Western Siberia, Fennoscandia, and Central Russia territories with degree series limiti

APA, Harvard, Vancouver, ISO, and other styles

39

Baykiev, Eldar, Dilixiati Yixiati, and Jörg Ebbing. "Global High-Resolution Magnetic Field Inversion Using Spherical Harmonic Representation of Tesseroids as Individual Sources." Geosciences 10, no. 4 (2020): 147. http://dx.doi.org/10.3390/geosciences10040147.

Full text

Abstract:

In this study, we present a novel approach combining the advantages of tesseroids in representing geophysical structures though their voxel-like discretization features with a spherical harmonic representation of the magnetic field. Modelling of the Earth lithospheric magnetic field is challenging since part of the spectra is hidden by the core field and the forward modeled field of a lithospheric magnetization is always biased by the spectral range used. In our approach, a spherical harmonic representation of the magnetic field of spherical prisms (tesseroids) is used for high-resolution magn

APA, Harvard, Vancouver, ISO, and other styles

40

BERMÚDEZ, ALFREDO, LUIS HERVELLA-NIETO, ANDRÉS PRIETO, and RODOLFO RODRÍGUEZ. "VALIDATION OF ACOUSTIC MODELS FOR TIME-HARMONIC DISSIPATIVE SCATTERING PROBLEMS." Journal of Computational Acoustics 15, no. 01 (2007): 95–121. http://dx.doi.org/10.1142/s0218396x07003238.

Full text

Abstract:

The aim of this paper is to study the time-harmonic scattering problem in a coupled fluid-porous medium system. We consider two different models for the treatment of porous materials: the Allard–Champoux equations and an approximate model based on a wall impedance condition. Both models are compared by computing analytically their respective solutions for unbounded planar obstacles, considering successively plane and spherical waves. A numerical method combining an optimal bounded PML and finite elements is also introduced to compute the solutions of both problems for more general axisymmetric

APA, Harvard, Vancouver, ISO, and other styles

41

Zhong, Jiaxin, Haishan Zou, and Jing Lu. "A modal expansion method for simulating reverberant sound fields generated by a directional source in a rectangular enclosure." Journal of the Acoustical Society of America 154, no. 1 (2023): 203–16. http://dx.doi.org/10.1121/10.0020070.

Full text

Abstract:

The prediction of reverberant sound fields generated by a directional source is of great interest because practical sound sources are not omnidirectional, especially at high frequencies. For an arbitrary directional source described by cylindrical and spherical harmonics, this paper developed a modal expansion method for calculating the reverberant sound field generated by such a source in both two-dimensional and three-dimensional rectangular enclosures with finite impedance walls. The key is to express the modal source density using the cylindrical or spherical harmonic expansion coefficient

APA, Harvard, Vancouver, ISO, and other styles

42

Morris, P. R., and R. E. Hook. "Comparison of Incomplete Pole-Figure Methods for Surfaces Perpendicular to Rolling, Transverse and Normal Directions." Textures and Microstructures 19, no. 1-2 (1992): 75–80. http://dx.doi.org/10.1155/tsm.19.75.

Full text

Abstract:

Coefficients for a generalized-spherical-harmonic expansion of the crystallite orientation distribution function (ODF) through L=16 were obtained by an incomplete pole-figure method from a deep-drawing aluminum-killed sheet steel sample with surface perpendicular to the sheet-normal direction (ND). These coefficients were subsequently transformed from the RD, TD, ND reference frame to –ND, TD, RD and ND, RD, TD reference frames. Spherical-surface-harmonic expansions of incomplete {110}, {100}, and {112} pole-figures were calculated for each reference frame and used as input data to calculate O

APA, Harvard, Vancouver, ISO, and other styles

43

Ilham, M. Syirojudin, R. Margiono, A. Marsono, and N. Ardiana. "Indonesian Earth’s Lithospheric Magnetic Field modelling using Spherical Cap Harmonic Analysis Method." IOP Conference Series: Earth and Environmental Science 873, no. 1 (2021): 012030. http://dx.doi.org/10.1088/1755-1315/873/1/012030.

Full text

Abstract:

Abstract The earth’s lithospheric magnetic field is part of the main earth’s magnetic field. The lithospheric field has a very small value compared to the Earth’s main magnetic field, approximately less than 1%, and this field is generated at the earth’s crust and upper mantle. Modelling of lithospheric field is useful mainly for predicting the distribution of the value of lithospheric fields and to determine the magnetic anomaly. In this research, modelling the Earth’s lithospheric magnetic field uses Spherical Cap Harmonic Analysis (SCHA) method and this method can do modelling using regiona

APA, Harvard, Vancouver, ISO, and other styles

44

Gazazyan, E. D., and M. I. Ivanyan. "Toward a theory of antenna characteristic measurement by the spherical harmonic method." Radiophysics and Quantum Electronics 30, no. 10 (1987): 897–901. http://dx.doi.org/10.1007/bf01034852.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Inanc, Feyzi. "Verification of the three-dimensional modular nodal method for spherical harmonic equations." Annals of Nuclear Energy 23, no. 7 (1996): 613–16. http://dx.doi.org/10.1016/0306-4549(95)00058-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Mathews, Jonathan, and Jonas Braasch. "A method for real-time, multiple-source localization using spherical harmonic decomposition." Journal of the Acoustical Society of America 140, no. 4 (2016): 3450. http://dx.doi.org/10.1121/1.4971144.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Morena, Carlos De La, Y. A. Nefedyev, A. O. Andreev, et al. "The analysis of Titan’s physical surface using multifractal geometry methods." Journal of Physics: Conference Series 2103, no. 1 (2021): 012017. http://dx.doi.org/10.1088/1742-6596/2103/1/012017.

Full text

Abstract:

Abstract Titan makes up 95% of the mass of all 82 satellites of Saturn. Titan’s diameter is 5152 km, which means that it is larger than the Moon by 50%, and it is also significantly larger than Mercury. On the satellite, a subsurface ocean is possible, the theory of the presence of which has already been advanced earlier by some scientists. It is located under a layer of ice and consists of 10% ammonia, which is a natural antifreeze for it and does not allow the ocean to freeze. On the one hand, the ocean contains a huge amount of salt, which makes the likelihood of life in it hardly possible.

APA, Harvard, Vancouver, ISO, and other styles

48

SULAIMAN, SAIFUL AMAN HJ, Nur Sofia Erina Ariff, Nurzaitie Aflah Abdullah, Adolfientje Kasenda Olesen, and Muhammad Daud Mahdzur. "Accuracy Assessment of High-Degree Geopotential Models in Peninsular Malaysia." ASM Science Journal 18 (December 19, 2023): 1–13. http://dx.doi.org/10.32802/asmscj.2023.1018.

Full text

Abstract:

The selection of the accurate geoid model is essential for geoid determination in specific regions. Many improvements to the basic theory of more reliable data are available for numerical modelling studies. All of the innovations have led to the development of a sequence of global geopotential models of increasing spherical harmonic degree and order and the resolution of the geopotential models. There are hundreds of geopotential models that can be downloaded in ICGEM. All geopotential ICGEM models have accuracy and resolution based on the degree and order of spherical harmonic coefficients. T

APA, Harvard, Vancouver, ISO, and other styles

49

Michael, J. Robert, and Anatoliy Volkov. "Density- and wavefunction-normalized Cartesian spherical harmonics forl≤ 20." Acta Crystallographica Section A Foundations and Advances 71, no. 2 (2015): 245–49. http://dx.doi.org/10.1107/s2053273314024838.

Full text

Abstract:

The widely used pseudoatom formalism [Stewart (1976).Acta Cryst. A32, 565–574; Hansen & Coppens (1978).Acta Cryst.A34, 909–921] in experimental X-ray charge-density studies makes use of real spherical harmonics when describing the angular component of aspherical deformations of the atomic electron density in molecules and crystals. The analytical form of the density-normalized Cartesian spherical harmonic functions for up tol≤ 7 and the corresponding normalization coefficients were reported previously by Paturle & Coppens [Acta Cryst.(1988), A44, 6–7]. It was shown that the analytical

APA, Harvard, Vancouver, ISO, and other styles

50

Gupta, Raj K., S. K. Patra, and W. Greiner. "Structure of 294,302120 Nuclei Using the Relativistic Mean-Field Method." Modern Physics Letters A 12, no. 23 (1997): 1727–36. http://dx.doi.org/10.1142/s021773239700176x.

Full text

Abstract:

We have studied the structure of superheavy nuclei 294,302120 in the framework of a relativistic mean-field formalism, using three different parameter sets (NL1, NL–SH and TM1) in an axially deformed harmonic oscillator basis. The calculated shapes are found to be parameter-dependent, e.g. NL1 parameter set predicts 302120 as a spherical and 294120 a very weakly oblate deformed nucleus whereas NL–SH and TM1 parameter sets predict both the nuclei with strongly prolate/oblate deformed configurations, in their respective ground states. This result, coupled with the calculated single-particle ener

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!