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Journal articles on the topic 'Spherical wave expansion'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Rengarajan, S. R. "Spherical wave expansion technique." IEE Proceedings H Microwaves, Antennas and Propagation 140, no. 6 (1993): 511. http://dx.doi.org/10.1049/ip-h-2.1993.0084.

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2

Chen, Y., and E. Simpson. "Reply: Spherical wave expansion technique." IEE Proceedings H Microwaves, Antennas and Propagation 140, no. 6 (1993): 512. http://dx.doi.org/10.1049/ip-h-2.1993.0085.

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3

Hughes, James. "Spherical wave expansion for any spin." Journal of Mathematical Physics 35, no. 9 (1994): 5000–5020. http://dx.doi.org/10.1063/1.530827.

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4

Cappellin, Cecilia, Olav Breinbjerg, and Aksel Frandsen. "Properties of the transformation from the spherical wave expansion to the plane wave expansion." Radio Science 43, no. 1 (2008): n/a. http://dx.doi.org/10.1029/2007rs003696.

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5

Yaccarino, R. G., and S. R. Rengarajan. "A Comparison of Two Spherical Wave Expansion Techniques." Electromagnetics 17, no. 1 (1997): 75–87. http://dx.doi.org/10.1080/02726349708908517.

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6

Laitinen, T. A., and R. Sharma. "New series expansion representations for spherical wave functions." Microwave and Optical Technology Letters 24, no. 2 (2000): 131–33. http://dx.doi.org/10.1002/(sici)1098-2760(20000120)24:2<131::aid-mop15>3.0.co;2-z.

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7

Zhang, Yan Ru, and Pei Jun Wei. "The Scattering Waves by Two Spheres in Solid." Applied Mechanics and Materials 423-426 (September 2013): 1640–43. http://dx.doi.org/10.4028/www.scientific.net/amm.423-426.1640.

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The scattering waves by two elastic spheres in solid are studied. The incident wave, the scattering waves in the host and the transmitted waves in the elastic spheres are all expanded in the series form of spherical wave functions. The total waves are obtained by addition of all scattered waves from individual elastic sphere. The addition theorem of spherical wave function is used to perform the coordinates transform for the scattering waves from different spheres. The expansion coefficients of scattering waves are determined by the interface condition between the elastic spheres and the solid

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8

Rayess, Nassif E. "An expanded spherical wave expansion for arbitrary sound fields." Journal of the Acoustical Society of America 113, no. 4 (2003): 2252–53. http://dx.doi.org/10.1121/1.4780420.

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9

Tagawa, Yoshiyuki, Shota Yamamoto, Keisuke Hayasaka, and Masaharu Kameda. "On pressure impulse of a laser-induced underwater shock wave." Journal of Fluid Mechanics 808 (October 26, 2016): 5–18. http://dx.doi.org/10.1017/jfm.2016.644.

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We experimentally examine a laser-induced underwater shock wave paying special attention to the pressure impulse, the time integral of the pressure evolution. Plasma formation, shock-wave expansion and the pressure in water are observed simultaneously using a combined measurement system that obtains high-resolution nanosecond-order image sequences. These detailed measurements reveal a distribution of the pressure peak which is not spherically symmetric. In contrast, remarkably, the pressure impulse is found to be symmetrically distributed for a wide range of experimental parameters, even when

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10

Diao, Yinliang, and Akimasa Hirata. "Assessment of mmWave Exposure From Antenna Based on Transformation of Spherical Wave Expansion to Plane Wave Expansion." IEEE Access 9 (2021): 111608–15. http://dx.doi.org/10.1109/access.2021.3103813.

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11

Tie, An, and L. T. Long. "The Character of a Scattered Wavelet: Aspherical Obstacle Embedded in an Elastic Medium." Seismological Research Letters 63, no. 4 (1992): 515–23. http://dx.doi.org/10.1785/gssrl.63.4.515.

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Abstract Wavelets scattered from a spherical heterogeneity were computed from solutions of the wave equation for a plane wave incident on a spherical inhomogeneity. The solution is expressed as an orthogonal function expansion that is asymptotically correct for all wavelengths. In this paper we computed the spectral response and corresponding time-domain impulse response for wavelengths greater than one tenth the radius. The frequency content and amplitude of the scattered wave from an incident compressional wave systematically varies with scattering angle. A comparison of the scattered waves

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12

Wang, Yan, and Kean Chen. "Translations of spherical harmonics expansion coefficients for a sound field using plane wave expansions." Journal of the Acoustical Society of America 143, no. 6 (2018): 3474–78. http://dx.doi.org/10.1121/1.5041742.

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13

Sandeep, Srikumar, and Shao Ying Huang. "Fast Analysis of Spherical Metasurfaces Using Vector Wave Function Expansion." IEEE Antennas and Wireless Propagation Letters 18, no. 6 (2019): 1086–90. http://dx.doi.org/10.1109/lawp.2019.2907870.

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14

Liu, Xi Qiang, Pei Jun Wei, Li Wang, and Gui Zhang. "Dynamic Effective Properties of Particle-Reinforced Composites with Imperfect Interface." Advanced Materials Research 194-196 (February 2011): 1793–802. http://dx.doi.org/10.4028/www.scientific.net/amr.194-196.1793.

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Elastic wave scattering of single spherical particle and the multiple scattering in particle-reinforced composite with imperfect interfaces are studied by the use of wave function expansion method. Four typical interfaces are obtained by appropriate selection of spring constants in the classical spring interface model, i.e. perfect interface, slide interface, rough interface and unbonded interface. The jump and continuous conditions of displacement vector and traction vector are used to derive the equation which the unknown expansion coefficients of the scattered wave field satisfy. Furthermor

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15

Nguyen, Quang M., Vinh Dang, and Ozlem Kilic. "An Alternative Plane Wave Decomposition of Electromagnetic Fields Using the Spherical Wave Expansion Technique." IEEE Antennas and Wireless Propagation Letters 16 (2017): 153–56. http://dx.doi.org/10.1109/lawp.2016.2562182.

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16

Loiko, V. A., A. A. Miskevich, and N. A. Loiko. "Spatial Order and Absorption of light by Monolayer of Silicon Nano- and Submicrometer-Sized Particles." International Journal of Nanoscience 18, no. 03n04 (2019): 1940025. http://dx.doi.org/10.1142/s0219581x19400258.

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The effect of the spatial order of a monolayer of monodisperse spherical crystalline silicon nano- and submicrometer-sized particles upon its absorption coefficient is theoretically investigated. The calculation method is based on the quasicrystalline approximation of the theory of multiple scattering of waves and multipole expansion of electromagnetic fields and tensor Green function in terms of vector spherical wave functions. The results can be used for an enhancement of light harvesting in a solar cells design.

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17

Arts, M. J., D. S. Prinsloo, M. J. Bentum, and A. B. Smolders. "Frequency Interpolation of LOFAR Embedded Element Patterns Using Spherical Wave Expansion." International Journal of Antennas and Propagation 2021 (June 15, 2021): 1–13. http://dx.doi.org/10.1155/2021/5598380.

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This paper describes the use of spherical wave expansion (SWE) to model the embedded element patterns of the LOFAR low-band array. The goal is to reduce the amount of data needed to store the embedded element patterns. The coefficients are calculated using the Moore–Penrose pseudoinverse. The Fast Fourier Transform (FFT) is used to interpolate the coefficients in the frequency domain. It turned out that the embedded element patterns can be described by only 41.8% of the data needed to describe them directly if sampled at the Nyquist rate. The presented results show that a frequency resolution

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18

Guigay, J. P. "A simple view of the spherical wave in dynamical theory." Acta Crystallographica Section A Foundations of Crystallography 55, no. 3 (1999): 561–63. http://dx.doi.org/10.1107/s0108767399000173.

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19

Cornelius, Rasmus, and Dirk Heberling. "Spherical Wave Expansion With Arbitrary Origin for Near-Field Antenna Measurements." IEEE Transactions on Antennas and Propagation 65, no. 8 (2017): 4385–88. http://dx.doi.org/10.1109/tap.2017.2708099.

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20

Belmkaddem, Kawtar, Tan Phu Vuong, and Lionel Rudant. "Analysis of open‐slot antenna radiation pattern using spherical wave expansion." IET Microwaves, Antennas & Propagation 9, no. 13 (2015): 1407–11. http://dx.doi.org/10.1049/iet-map.2014.0274.

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21

Laviada, J., M. R. Pino, and F. Las-Heras. "Characteristic Spherical Wave Expansion With Application to Scattering and Radiation Problems." IEEE Antennas and Wireless Propagation Letters 8 (2009): 599–602. http://dx.doi.org/10.1109/lawp.2009.2021285.

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22

Gemmer, Thomas M., and Dirk Heberling. "Accurate and Efficient Computation of Antenna Measurements Via Spherical Wave Expansion." IEEE Transactions on Antennas and Propagation 68, no. 12 (2020): 8266–69. http://dx.doi.org/10.1109/tap.2020.2996914.

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23

MacPhie, R. H., and Ke-Li Wu. "A plane wave expansion of spherical wave functions for modal analysis of guided wave structures and scatterers." IEEE Transactions on Antennas and Propagation 51, no. 10 (2003): 2801–5. http://dx.doi.org/10.1109/tap.2003.818009.

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24

LIN, HAO, and ANDREW J. SZERI. "Shock formation in the presence of entropy gradients." Journal of Fluid Mechanics 431 (March 25, 2001): 161–88. http://dx.doi.org/10.1017/s0022112000003104.

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The steepening of a normal compression wave into a shock in a homentropic flow field is understood well through the method of characteristics. In a non-homentropic flow field, however, shock formation from a compression wave is more complex. The effects of entropy (or sound speed) gradients on shock formation from a compression wave are determined using a wave front expansion in Cartesian and in spherical polar coordinates. The latter problem has application to the intense energy focusing of sonoluminescence, particularly when applied to a spherically collapsing gas. The principal result is an

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25

Alvarez Lopez, Yuri, Cecilia Cappellin, Fernando Las-Heras, and Olav Breinbjerg. "ON THE COMPARISON OF THE SPHERICAL WAVE EXPANSION-TO-PLANE WAVE EXPANSION AND THE SOURCES RECONSTRUCTION METHOD FOR ANTENNA DIANGOSTICS." Progress In Electromagnetics Research 87 (2008): 245–62. http://dx.doi.org/10.2528/pier08092202.

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26

Moya, P. S., A. F. Viñas, V. Muñoz, and J. A. Valdivia. "Computational and theoretical study of the wave-particle interaction of protons and waves." Annales Geophysicae 30, no. 9 (2012): 1361–69. http://dx.doi.org/10.5194/angeo-30-1361-2012.

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Abstract. We study the wave-particle interaction and the evolution of electromagnetic waves propagating through a plasma composed of electrons and protons, using two approaches. First, a quasilinear kinetic theory has been developed to study the energy transfer between waves and particles, with the subsequent acceleration and heating of protons. Second, a one-dimensional hybrid numerical simulation has been performed, with and without including an expanding-box model that emulates the spherical expansion of the solar wind, to investigate the fully nonlinear evolution of this wave-particle inte

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27

Zhou, Daren, Huancai Lu, D. Michael McFarland, and Yongxiong Xiao. "Reconstruction of Acoustic Radiation of a Vibrating Structure Located in a Half-Space Bounded by a Passive Surface with Finite Acoustic Impedance." Journal of Theoretical and Computational Acoustics 28, no. 04 (2020): 2050019. http://dx.doi.org/10.1142/s259172852050019x.

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Vibrating structures are often mounted on or located near a passive plane surface with finite acoustic impedance, and hence the acoustic pressures measured in a half-space bounded by the surface consist of both the direct radiation from the structure and the reflection from the boundary surface. In order to visualize the direct radiation from the source into free space, a reconstruction method based on expansion in half-space spherical wave functions is proposed. First, the series of half-space spherical wave functions is derived based on the analytical solution of the sound field due to a mul

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28

Moreira, Wendel Lopes, Antonio Alvaro Ranha Neves, Martin K. Garbos, Tijmen G. Euser, and Carlos Lenz Cesar. "Expansion of arbitrary electromagnetic fields in terms of vector spherical wave functions." Optics Express 24, no. 3 (2016): 2370. http://dx.doi.org/10.1364/oe.24.002370.

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29

Gardner, Judd S. "Approximate Expansion of a Narrow Gaussian Beam in Spherical Vector Wave Functions." IEEE Transactions on Antennas and Propagation 55, no. 11 (2007): 3172–77. http://dx.doi.org/10.1109/tap.2007.908799.

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30

Alayon Glazunov, Andrés. "Expansion of the Kronecker and Keyhole Channels Into Spherical Vector Wave Modes." IEEE Antennas and Wireless Propagation Letters 10 (2011): 1112–15. http://dx.doi.org/10.1109/lawp.2011.2170951.

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31

Martini, E., and S. Maci. "A closed-form conversion from spherical-wave- to complex-point-source-expansion." Radio Science 46, no. 5 (2011): n/a. http://dx.doi.org/10.1029/2011rs004665.

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32

Azizoglu, S. A., S. S. Koc, and O. M. Buyukdura. "Spherical Wave Expansion of the Time-Domain Free-Space Dyadic Green's Function." IEEE Transactions on Antennas and Propagation 52, no. 3 (2004): 677–83. http://dx.doi.org/10.1109/tap.2004.825494.

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33

Mehrem, R. "The plane wave expansion, infinite integrals and identities involving spherical Bessel functions." Applied Mathematics and Computation 217, no. 12 (2011): 5360–65. http://dx.doi.org/10.1016/j.amc.2010.12.004.

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34

Maciąg, Artur. "Three-dimensional wave polynomials." Mathematical Problems in Engineering 2005, no. 5 (2005): 583–98. http://dx.doi.org/10.1155/mpe.2005.583.

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We demonstrate a specific power series expansion technique to solve the three-dimensional homogeneous and inhomogeneous wave equations. As solving functions, so-called wave polynomials are used. The presented method is useful for a finite body of certain shape. Recurrent formulas to improve efficiency are obtained for the wave polynomials and their derivatives in a Cartesian, spherical, and cylindrical coordinate system. Formulas for a particular solution of the inhomogeneous wave equation are derived. The accuracy of the method is discussed and some typical examples are shown.

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35

Xu, Qian, and Zhong-Qi Wang. "Model for Calculating Seismic Wave Spectrum Excited by Explosive Source." Shock and Vibration 2021 (June 3, 2021): 1–15. http://dx.doi.org/10.1155/2021/6544453.

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To reveal the characteristics and laws of the seismic wavefield amplitude-frequency excited by explosive source, the method for computing the seismic wave spectrum excited by explosive was studied in this paper. The model for calculating the seismic wave spectrum excited by explosive source was acquired by taking the seismic source model of spherical cavity as the basis. The results of using this model show that the main frequency and the bandwidth of the seismic waves caused by the explosion are influenced by the initial detonation pressure, the adiabatic expansion of the explosive, and the g

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36

Дукин, А. А., та В. Г. Голубев. "Моделирование спектров люминесценции в сферических микрорезонаторах с излучающей оболочкой". Оптика и спектроскопия 129, № 10 (2021): 1314. http://dx.doi.org/10.21883/os.2021.10.51499.2266-21.

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The luminescence spectra of a microresonator structure consisting of a spherical core of small diameter (3.5 – 6 mcm) covered with a luminescent shell with a refractive index less than that of the core are modeled. Shell luminescence spectra, radial distribution of the whispering gallery mode (WGM) field, and mode parameters (wavelength, width, quality factor) are calculated using the expansion of the electromagnetic wave field in the basis of vector spherical harmonics and the method of spherical wave transfer matrices. The dependence of the luminescence spectra and WGM parameters on the geom

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37

U¨berall, Herbert, P. P. Delsanto, J. D. Alemar, E. Rosario, and Anton Nagl. "Application of the Singularity Expansion Method to Elastic Wave Scattering." Applied Mechanics Reviews 43, no. 10 (1990): 235–49. http://dx.doi.org/10.1115/1.3119152.

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The singularity expansion method (SEM), established originally for electromagnetic-wave scattering by Carl Baum (Proc. IEEE 64, 1976, 1598), has later been applied also to acoustic scattering (H U¨berall, G C Gaunaurd, and J D Murphy, J Acoust Soc Am 72, 1982, 1014). In the present paper, we describe further applications of this method of analysis to the scattering of elastic waves from cavities or inclusions in solids. We first analyze the resonances that appear in the elastic-wave scattering amplitude, when plotted vs frequency, for evacuated or fluid-filled cylindrical and spherical cavitie

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38

Walton, K., and P. J. Digby. "Wave Propagation Through Fluid Saturated Porous Rocks." Journal of Applied Mechanics 54, no. 4 (1987): 788–93. http://dx.doi.org/10.1115/1.3173118.

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A sedimentary rock is modeled by a random packing of identical spherical particles. The connected pore space is filled with an inviscid, compressible fluid. A low-frequency expansion technique is used to calculate the effective wave speeds explicitly in terms of the microstructural properties of the rock considered. The effect of both the pore fluid and the initial confining pressure to which the rock is subjected can be included in the calculations.

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39

Koivisto, Paivi. "REDUCTION OF ERRORS IN ANTENNA RADIATION PATTERNS USING OPTIMALLY TRUNCATED SPHERICAL WAVE EXPANSION." Progress In Electromagnetics Research 47 (2004): 313–33. http://dx.doi.org/10.2528/pier03120301.

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40

Sasihithlu, Karthik, and Arvind Narayanaswamy. "Convergence of vector spherical wave expansion method applied to near-field radiative transfer." Optics Express 19, S4 (2011): A772. http://dx.doi.org/10.1364/oe.19.00a772.

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41

Alvarez, Yuri, Fernando Las-Heras, and Marcos R. Pino. "On the Comparison Between the Spherical Wave Expansion and the Sources Reconstruction Method." IEEE Transactions on Antennas and Propagation 56, no. 10 (2008): 3337–41. http://dx.doi.org/10.1109/tap.2008.929519.

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42

Alayon Glazunov, AndrÉs, Mats Gustafsson, Andreas F. Molisch, Fredrik Tufvesson, and Gerhard Kristensson. "Spherical Vector Wave Expansion of Gaussian Electromagnetic Fields for Antenna-Channel Interaction Analysis." IEEE Transactions on Antennas and Propagation 57, no. 7 (2009): 2055–67. http://dx.doi.org/10.1109/tap.2009.2016686.

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43

Koivisto, P�ivi. "Demonstration of reflection-error reduction in antenna radiation patterns using spherical wave expansion." Microwave and Optical Technology Letters 43, no. 4 (2004): 280–84. http://dx.doi.org/10.1002/mop.20445.

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44

Vesterdal Larsen, Niels, and Olav Breinbjerg. "A spherical wave expansion model of sequentially rotated phased arrays with arbitrary elements." Microwave and Optical Technology Letters 49, no. 12 (2007): 3148–54. http://dx.doi.org/10.1002/mop.22905.

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45

Laitinen, T. A., and P. Vainikainen. "Determination of radiation by spherical wave expansion using single dual-polarised field probe." Electronics Letters 35, no. 11 (1999): 882. http://dx.doi.org/10.1049/el:19990651.

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46

Chiu, Lue‐yung Chow, and Mohammad Moharerrzadeh. "Translational and rotational expansion of spherical Gaussian wave functions for multicenter molecular integrals." Journal of Chemical Physics 101, no. 1 (1994): 449–58. http://dx.doi.org/10.1063/1.468154.

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47

Ahrens, Jens, and Sascha Spors. "Wave field synthesis of a sound field described by spherical harmonics expansion coefficients." Journal of the Acoustical Society of America 131, no. 3 (2012): 2190–99. http://dx.doi.org/10.1121/1.3682036.

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48

ZSCHOCKE, SVEN. "A DETAILED PROOF OF THE FUNDAMENTAL THEOREM OF STF MULTIPOLE EXPANSION IN LINEARIZED GRAVITY." International Journal of Modern Physics D 23, no. 01 (2014): 1450003. http://dx.doi.org/10.1142/s0218271814500035.

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The linearized field equations of general relativity in harmonic coordinates are given by an inhomogeneous wave equation. In the region exterior to the matter field, the retarded solution of this wave equation can be expanded in terms of 10 Cartesian symmetric and tracefree (STF) multipoles in post-Minkowskian approximation. For such a multipole decomposition only three and rather weak assumptions are required: (1) No-incoming-radiation condition. (2) The matter source is spatially compact. (3) A spherical expansion for the metric outside the matter source is possible. During the last decades,

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49

Kim, Woobin, Hyeong-Rae Im, Yeong-Hoon Noh, et al. "Near-Field to Far-Field RCS Prediction on Arbitrary Scanning Surfaces Based on Spherical Wave Expansion." Sensors 20, no. 24 (2020): 7199. http://dx.doi.org/10.3390/s20247199.

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Near-field to far-field transformation (NFFFT) is a frequently-used method in antenna and radar cross section (RCS) measurements for various applications. For weapon systems, most measurements are captured in the near-field area in an anechoic chamber, considering the security requirements for the design process and high spatial costs of far-field measurements. As the theoretical RCS value is the power ratio of the scattered wave to the incident wave in the far-field region, a scattered wave measured in the near-field region needs to be converted into field values in the far-field region. Ther

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50

SASTRY, S. V. S., ARUN K. JAIN, and Y. K. GAMBHIR. "TWO-OSCILLATOR BASIS EXPANSION FOR THE SOLUTION OF RELATIVISTIC MEAN FIELD EQUATIONS." International Journal of Modern Physics E 09, no. 06 (2000): 507–20. http://dx.doi.org/10.1142/s0218301300000374.

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In the relativistic mean field (RMF) calculations usually the basis expansion method is employed. For this one uses single harmonic oscillator (HO) basis functions. A proper description of the ground state nuclear properties of spherical nuclei requires a large (around 20) number of major oscillator shells in the expansion. In halo nuclei where the nucleons have extended spatial distributions, the use of single HO basis for the expansion is inadequate for the correct description of the nuclear properties, especially that of the surface region. In order to rectify these inadequacies, in the pre

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