Academic literature on the topic 'Spherical Harmonic method'

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Journal articles on the topic "Spherical Harmonic method"

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.

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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
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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.

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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.
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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.

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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
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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.

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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
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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.

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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
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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.

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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
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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.

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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.
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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.

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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
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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.

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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
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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.

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