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Journal articles on the topic 'Volume scattering function'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

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1

Kruglov, Timofey. "Correlation function of the excluded volume." Journal of Applied Crystallography 38, no. 5 (September 15, 2005): 716–20. http://dx.doi.org/10.1107/s0021889805017000.

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2

Hong, S. S. "A Method for Deriving the Mean Volume Scattering Phase Function for Zodiacal Dust." International Astronomical Union Colloquium 85 (1985): 215–18. http://dx.doi.org/10.1017/s0252921100084657.

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AbstractA linear combination of 3 Henyey-Greenstein phase functions is substituted for the mean volume scattering phase function in the zodiacal light brightness integral. Results of the integral are then compared with the observed brightness to form residuals. Minimization of the residuals provides us with the best combination of Henyey-Greenstein functions for the scattering phase function of zodiacal dust particles.

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3

Zhang, Xiaodong, Marlon Lewis, Michael Lee, Bruce Johnson, and Gennady Korotaev. "The volume scattering function of natural bubble populations." Limnology and Oceanography 47, no. 5 (September 2002): 1273–82. http://dx.doi.org/10.4319/lo.2002.47.5.1273.

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4

Tan, Hiroyuki, Tomohiko Oishi, Akihiko Tanaka, Roland Doerffer, and Yasuhiro Tan. "Chlorophyll-a specific volume scattering function of phytoplankton." Optics Express 25, no. 12 (May 26, 2017): A564. http://dx.doi.org/10.1364/oe.25.00a564.

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5

Li, Xin, Changwoo Do, Yun Liu, Luis Sánchez-Diáz, Gregory Smith, and Wei-Ren Chen. "A scattering function of star polymers including excluded volume effects." Journal of Applied Crystallography 47, no. 6 (November 4, 2014): 1901–5. http://dx.doi.org/10.1107/s1600576714022249.

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This work presents a new model for the form factor of a star polymer consisting of self-avoiding branches. This new model incorporates excluded volume effects and is derived from the two-point correlation function for a star polymer. This model is compared with small-angle neutron scattering measurements from polystyrene stars immersed in a good solvent, tetrahydrofuran. It is shown that this model provides a good description of the scattering signature originating from the excluded volume effect, and it explicitly elucidates the connection between the global conformation of a star polymer and

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6

Tan, Hiroyuki, Roland Doerffer, Tomohiko Oishi, and Akihiko Tanaka. "A new approach to measure the volume scattering function." Optics Express 21, no. 16 (July 30, 2013): 18697. http://dx.doi.org/10.1364/oe.21.018697.

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7

Hirata, Takafumi. "Irradiance inversion theory to retrieve volume scattering function of seawater." Applied Optics 42, no. 9 (March 20, 2003): 1564. http://dx.doi.org/10.1364/ao.42.001564.

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8

Kirk, John T. O. "Volume scattering function, average cosines, and the underwater light field." Limnology and Oceanography 36, no. 3 (May 1991): 455–67. http://dx.doi.org/10.4319/lo.1991.36.3.0455.

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9

Chen, Shu-Wen, Feng Lu, and Yao Ma. "Fitting Green’s Function FFT Acceleration Applied to Anisotropic Dielectric Scattering Problems." International Journal of Antennas and Propagation 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/123739.

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A volume integral equation based fast algorithm using the Fast Fourier Transform of fitting Green’s function (FG-FFT) is proposed in this paper for analysis of electromagnetic scattering from 3D anisotropic dielectric objects. For the anisotropic VIE model, geometric discretization is still implemented by tetrahedron cells and the Schaubert-Wilton-Glisson (SWG) basis functions are also used to represent the electric flux density vectors. Compared with other Fast Fourier Transform based fast methods, using fitting Green’s function technique has higher accuracy and can be applied to a relatively

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10

Chen Du, 陈都, 刘秉义 Liu Bingyi, 杨倩 Yang Qian, 唐军武 Tang Junwu та 吴松华 Wu Songhua. "近180°水中悬浮颗粒物体积散射函数测量". Infrared and Laser Engineering 50, № 6 (2021): 20211029. http://dx.doi.org/10.3788/irla20211029.

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11

Li, Xin, Chwen-Yang Shew, Lilin He, Flora Meilleur, Dean A. A. Myles, Emily Liu, Yang Zhang, et al. "Scattering functions of Platonic solids." Journal of Applied Crystallography 44, no. 3 (April 27, 2011): 545–57. http://dx.doi.org/10.1107/s0021889811011691.

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The single-particle small-angle scattering properties of five Platonic solids, including the tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron, are systematically investigated. For each given geometry, the Debye spatial autocorrelation function, pair distance distribution function and intraparticle structure factor (form factor) are calculated and compared with the corresponding scattering function of a spherical reference system. From the theoretical models, the empirical relationship between the dodecahedral and icosahedral structural characteristics and those of the equivale

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12

Gommes, Cedric J. "Small-angle scattering and scale-dependent heterogeneity." Journal of Applied Crystallography 49, no. 4 (June 23, 2016): 1162–76. http://dx.doi.org/10.1107/s1600576716007810.

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Although small-angle scattering is often discussed qualitatively in terms of material heterogeneity, when it comes to quantitative data analysis this notion becomes somehow hidden behind the concept of correlation function. In the present contribution, a quantitative measure of heterogeneity is defined, it is shown how it can be calculated from scattering data, and its structural significance for the purpose of material characterization is discussed. Conceptually, the procedure consists of using a finite probe volume to define a local average density at any point of the material; the heterogen

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13

Zhang, X., Y. Huot, D. J. Gray, A. Weidemann, and W. J. Rhea. "Inversion of the volume scattering function and spectral absorption in coastal waters with biogeochemical implications." Biogeosciences Discussions 10, no. 6 (June 3, 2013): 9003–41. http://dx.doi.org/10.5194/bgd-10-9003-2013.

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Abstract. In the aquatic environment, particles can be broadly separated into phytoplankton (PHY), non-algal particle (NAP) and dissolved (or very small particle, VSP) fractions. Typically, absorption spectra are inverted to quantify these fractions, but volume scattering functions (VSFs) can also be used. Both absorption spectra and VSFs were used to calculate particle fractions for an experiment in Chesapeake Bay. A complete set of water inherent optical properties was measured using a suite of commercial instruments and a prototype Multispectral Volume Scattering Meter (MVSM); the chlorophy

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14

He Hua, 何华. "Research on Volume Scattering Phase Function under Ultraviolet Non-Line-of-Sight Single Scattering Link." Laser & Optoelectronics Progress 52, no. 3 (2015): 030603. http://dx.doi.org/10.3788/lop52.030603.

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15

Brewster, Quinn. "Volume Scattering of Radiation in Packed Beds of Large, Opaque Spheres." Journal of Heat Transfer 126, no. 6 (December 1, 2004): 1048–50. http://dx.doi.org/10.1115/1.1795247.

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A simple model is proposed for radiative properties of close-packed large, opaque spheres that accounts for nonvanishing volume of the particles, i.e., volume scattering as opposed to point scattering. It is based on the mean-beam-length concept applied to an assembly of particles, as illustrated by Mills. The resulting particle-scattering properties differ from those of classical pseudocontinuum theory based on point scattering by the simple factor of void fraction, and reduce to the point-scattering expressions in the limit of small particle volume fraction. The volume-scattering model match

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16

Ciccariello, Salvino, Piero Riello, and Alvise Benedetti. "On physical scattering density fluctuations of amorphous samples." Journal of Applied Crystallography 51, no. 5 (September 13, 2018): 1404–20. http://dx.doi.org/10.1107/s1600576718011330.

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Using the rigorous results obtained by Wiener [Acta Math. (1930), 30, 118–242] on the Fourier integral of a bounded function and the condition that small-angle scattering intensities of amorphous samples are almost everywhere continuous, the conditions that must be obeyed by a function η(r) for this to be considered a physical scattering density fluctuation are obtained. These conditions can be recast in the following form: the V → ∞ limit of the modulus of the Fourier transform of η(r), evaluated over a cubic box of volume V and divided by V 1/2, exists and its square obeys the Porod invarian

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17

Guo Yilu, 郭乙陆, 陶邦一 Tao Bangyi, 黄海清 Huang Haiqing, 吴超钒 Wu Chaofan, 宋. 宏. Song Hong, and 冷建兴 Leng Jianxing. "Wide angle volume scattering function measurement methods for particles in water." Infrared and Laser Engineering 49, no. 2 (2020): 203011. http://dx.doi.org/10.3788/irla202049.0203011.

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18

Twardowski, Michael, and Alberto Tonizzo. "Ocean Color Analytical Model Explicitly Dependent on the Volume Scattering Function." Applied Sciences 8, no. 12 (December 19, 2018): 2684. http://dx.doi.org/10.3390/app8122684.

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An analytical radiative transfer (RT) model for remote sensing reflectance that includes the bidirectional reflectance distribution function (BRDF) is described. The model, called ZTT (Zaneveld-Twardowski-Tonizzo), is based on the restatement of the RT equation by Zaneveld (1995) in terms of light field shape factors. Besides remote sensing geometry considerations (solar zenith angle, viewing angle, and relative azimuth), the inputs are Inherent Optical Properties (IOPs) absorption a and backscattering bb coefficients, the shape of the particulate volume scattering function (VSF) in the backwa

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19

Lee, Jungki, and Hogwan Jeong. "Parallel Volume Integral Equation Method for Two-Dimensional Elastodynamic Analysis." International Journal of Computational Methods 16, no. 06 (May 27, 2019): 1840025. http://dx.doi.org/10.1142/s021987621840025x.

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The parallel volume integral equation method (PVIEM) is applied for the analysis of two-dimensional elastic wave scattering problems in an unbounded isotropic solid containing various types of multiple multilayered anisotropic inclusions. It should be noted that the volume integral equation method (VIEM) does not require the use of the Green’s function for the anisotropic inclusion — only the Green’s function for the unbounded isotropic matrix is needed. A detailed analysis of the SH wave scattering problem is presented for various types of multiple multilayered orthotropic inclusions. Numeric

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20

Horvath, Helmuth, Lucas Alados Arboledas, and Francisco José Olmo Reyes. "Angular scattering of the Sahara dust aerosol." Atmospheric Chemistry and Physics 18, no. 23 (December 13, 2018): 17735–44. http://dx.doi.org/10.5194/acp-18-17735-2018.

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Abstract. Soil erosion aerosols can be transported considerable distances, the Sahara being one of the major sources in the world. In June 2016 the volume scattering function of the atmospheric aerosol was determined in the Sierra Nevada, Spain, at an altitude of 2500 m. Measurements were performed with a polar nephelometer permitting measurements between scattering angles of 5 to 175∘. The values at the missing angles could be estimated to a high accuracy, using the shape of the scattering function adjacent to the missing angles, and thus a complete volume scattering function was available. D

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21

Takenaka, Mikihito, Shotaro Nishitsuji, Naoya Amino, Yasuhiro Ishikawa, Daisuke Yamaguchi, and Satoshi Koizumi. "STRUCTURE ANALYSES OF SWOLLEN RUBBER–CARBON BLACK SYSTEMS BY USING CONTRAST VARIATION SMALL-ANGLE NEUTRON SCATTERING." Rubber Chemistry and Technology 85, no. 2 (June 1, 2012): 157–64. http://dx.doi.org/10.5254/rct.12.89960.

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Abstract In a previous study [Takenaka et al., Macromolecules 42, 308 (2009)], we have investigated the polymer layers absorbed on silica (Si) particles in rubber–Si systems with the contrast variation small-angle neutron scattering (SANS) method. We have investigated the polymer layers absorbed on carbon black (CB) particles in rubber–CB systems with contrast variation SANS method. The scattering intensities of specimens swollen by the solvents having various scattering length densities were measured. The contrast variation SANS for the specimens yielded partial scattering functions: the scat

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22

Sasaki, Kenji, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, and Takaya Miyamoto. "Lattice QCD studies on baryon interactions in the strangeness -2 sector with physical quark masses." EPJ Web of Conferences 175 (2018): 05010. http://dx.doi.org/10.1051/epjconf/201817505010.

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We investigate baryon-baryon (BB) interactions in the strangeness S = −2 sector via the coupled-channel HAL QCD method which enables us to extract the scattering observables from Nambu-Bethe-Salpeter (NBS) wave function on the lattice. The simulations are performed with (almost) physical quark masses (mπ = 146MeV) and a huge lattice volume of La = 8.1fm. We discuss the fate of H-dibaryon state through the ΛΛ and NΞ coupled-channel scatterings

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23

Wang Wanyan, 王万研, 杨克成 Yang Kecheng, 罗曼 Luo Man, 郭文平 Guo Wenping, 夏珉 Xia Min, and 李微 Li Wei. "Measurement of Three-Dimensional Volume Scattering Function of Suspended Particles in Water." Acta Optica Sinica 38, no. 3 (2018): 0329001. http://dx.doi.org/10.3788/aos201838.0329001.

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24

Slade, Wayne H., and Emmanuel S. Boss. "Calibrated near-forward volume scattering function obtained from the LISST particle sizer." Optics Express 14, no. 8 (2006): 3602. http://dx.doi.org/10.1364/oe.14.003602.

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25

Jonasz, Miroslaw. "Volume scattering function measurement error: effect of angular resolution of the nephelometer." Applied Optics 29, no. 1 (January 1, 1990): 64. http://dx.doi.org/10.1364/ao.29.000064.

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26

Zhou, Yudi, Dong Liu, Peituo Xu, Chong Liu, Jian Bai, Liming Yang, Zhongtao Cheng, Peijun Tang, Yupeng Zhang, and Lin Su. "Retrieving the seawater volume scattering function at the 180° scattering angle with a high-spectral-resolution lidar." Optics Express 25, no. 10 (May 10, 2017): 11813. http://dx.doi.org/10.1364/oe.25.011813.

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27

Chami, Malik, David McKee, Edouard Leymarie, and Gueorgui Khomenko. "Influence of the angular shape of the volume-scattering function and multiple scattering on remote sensing reflectance." Applied Optics 45, no. 36 (December 20, 2006): 9210. http://dx.doi.org/10.1364/ao.45.009210.

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28

Zhang, X., Y. Huot, D. J. Gray, A. Weidemann, and W. J. Rhea. "Biogeochemical origins of particles obtained from the inversion of the volume scattering function and spectral absorption in coastal waters." Biogeosciences 10, no. 9 (September 13, 2013): 6029–43. http://dx.doi.org/10.5194/bg-10-6029-2013.

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Abstract. In the aquatic environment, particles can be broadly separated into phytoplankton (PHY), non-algal particle (NAP) and dissolved (or very small particle, VSP) fractions. Typically, absorption spectra are inverted to quantify these fractions, but volume scattering functions (VSFs) can also be used. Both absorption spectra and VSFs were used to estimate particle fractions for an experiment in the Chesapeake Bay. A complete set of water inherent optical properties was measured using a suite of commercial instruments and a prototype Multispectral Volume Scattering Meter (MVSM); the chloro

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29

Räisänen, P., A. Kokhanovsky, G. Guyot, O. Jourdan, and T. Nousiainen. "Parameterization of single-scattering properties of snow." Cryosphere 9, no. 3 (June 23, 2015): 1277–301. http://dx.doi.org/10.5194/tc-9-1277-2015.

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Abstract. Snow consists of non-spherical grains of various shapes and sizes. Still, in many radiative transfer applications, single-scattering properties of snow have been based on the assumption of spherical grains. More recently, second-generation Koch fractals have been employed. While they produce a relatively flat phase function typical of deformed non-spherical particles, this is still a rather ad hoc choice. Here, angular scattering measurements for blowing snow conducted during the CLimate IMpacts of Short-Lived pollutants In the Polar region (CLIMSLIP) campaign at Ny Ålesund, Svalbard

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30

Räisänen, P., A. Kokhanovsky, G. Guyot, O. Jourdan, and T. Nousiainen. "Parameterization of single-scattering properties of snow." Cryosphere Discussions 9, no. 1 (February 13, 2015): 873–926. http://dx.doi.org/10.5194/tcd-9-873-2015.

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Abstract. Snow consists of non-spherical grains of various shapes and sizes. Still, in many radiative transfer applications, single-scattering properties of snow have been based on the assumption of spherical grains. More recently, second-generation Koch fractals have been employed. While they produce a relatively flat phase function typical of deformed non-spherical particles, this is still a rather ad-hoc choice. Here, angular scattering measurements for blowing snow conducted during the CLimate IMpacts of Short-Lived pollutants In the Polar region (CLIMSLIP) campaign at Ny Ålesund, Svalbard

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31

Babin, Marcel, Dariusz Stramski, Rick A. Reynolds, Vanessa M. Wright, and Edouard Leymarie. "Determination of the volume scattering function of aqueous particle suspensions with a laboratory multi-angle light scattering instrument." Applied Optics 51, no. 17 (June 8, 2012): 3853. http://dx.doi.org/10.1364/ao.51.003853.

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32

Germer, Thomas A. "Bidirectional scattering distribution function measurements from volume diffusers: correction factors and associated uncertainties." Applied Optics 55, no. 25 (August 26, 2016): 6978. http://dx.doi.org/10.1364/ao.55.006978.

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33

Sullivan, James M., and Michael S. Twardowski. "Angular shape of the oceanic particulate volume scattering function in the backward direction." Applied Optics 48, no. 35 (December 4, 2009): 6811. http://dx.doi.org/10.1364/ao.48.006811.

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34

Sokolov, A., M. Chami, E. Dmitriev, and G. Khomenko. "Parameterization of volume scattering function of coastal waters based on the statistical approach." Optics Express 18, no. 5 (February 22, 2010): 4615. http://dx.doi.org/10.1364/oe.18.004615.

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35

Zhang, Xiaodong, Michael Twardowski, and Marlon Lewis. "Retrieving composition and sizes of oceanic particle subpopulations from the volume scattering function." Applied Optics 50, no. 9 (March 15, 2011): 1240. http://dx.doi.org/10.1364/ao.50.001240.

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36

Holoubek, Jaroslav, and Josef Baldrian. "Speckle patterns in small angle light scattering: The spatial autocorrelation function." Collection of Czechoslovak Chemical Communications 50, no. 12 (1985): 2873–83. http://dx.doi.org/10.1135/cccc19852873.

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The study deals with the determination of the spatial autocorrelation function of speckle patterns caused by the small-angle light scattering from polymer films. The autocorrelation function determines the shape, size and anisometry of the speckle. The effect of the inner structure and orientation of samples (polypropylene foil, poly(decamethylene terephthalate) and a sample of polypropylene filaments) is discussed; it is shown that under the usual experimental conditions the spatial autocorrelation function of speckle patterns can be determined on the basis of the van Cittert-Zernike theorem

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37

Avdeev, Mikhail V. "Contrast variation in small-angle scattering experiments on polydisperse and superparamagnetic systems: basic functions approach." Journal of Applied Crystallography 40, no. 1 (January 12, 2007): 56–70. http://dx.doi.org/10.1107/s0021889806049491.

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The development of the basic functions approach [Stuhrmann (1995).Modern Aspects of Small-Angle Scattering, edited by H. Brumberger, pp. 221–254. Dordrecht: Kluwer Academic Publishers] for the contrast variation technique in small-angle scattering from systems of polydisperse and superparamagnetic non-interacting particles is presented. For polydisperse systems the modified contrast is introduced as the difference between the effective mean scattering length density (corresponding to the minimum of the scattering intensity as the function of the scattering length density of the solvent) and th

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38

Barabanenkov, M. Y., Y. N. Barabanenkov, and S. A. Nikitov. "Virtual Singular Scattering of Electromagnetic Waves in Transformation Media Concept." Advanced Electromagnetics 1, no. 1 (July 5, 2012): 38. http://dx.doi.org/10.7716/aem.v1i1.34.

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If a scatterer and an observation point (receive) both approach the so-called near field zone of a source of electromagnetic waves, the scattering process becomes singular one which is mathematically attributed to the spatial singularity of the free space Green function at the origin. Starting from less well known property of left-handed material slab to transfer the singularity of the free space Green function by implementing coordinate transformation, we present a phenomenon of virtual singular scattering of electromagnetic wave on an inhomogeneity located in the volume of left – handed mate

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39

Michels-Clark, T. M., V. E. Lynch, C. M. Hoffmann, J. Hauser, T. Weber, R. Harrison, and H. B. Bürgi. "Analyzing diffuse scattering with supercomputers." Journal of Applied Crystallography 46, no. 6 (November 7, 2013): 1616–25. http://dx.doi.org/10.1107/s0021889813025399.

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Two new approaches to quantitatively analyze diffuse diffraction intensities from faulted layer stacking are reported. The parameters of a probability-based growth model are determined with two iterative global optimization methods: a genetic algorithm (GA) and particle swarm optimization (PSO). The results are compared with those from a third global optimization method, a differential evolution (DE) algorithm [Storn & Price (1997).J. Global Optim.11, 341–359]. The algorithm efficiencies in the early and late stages of iteration are compared. The accuracy of the optimized parameters improv

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40

Combet, Patrick P., and Philippe L. Lamy. "Laboratory Measurements of Light Scattering by Dust Particles." International Astronomical Union Colloquium 150 (1996): 409–13. http://dx.doi.org/10.1017/s0252921100501948.

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AbstractWe have set up an experimental device to optically study the scattering properties of dust particles. Measurements over the 8 — 174° interval of scattering angles are performed on a continuously flowing dust loaded jet illuminated by a polarized red HeNe laser beam. The scattering is averaged over the population of the dust particles in the jet, which can be determined independently, and give the “volume scattering function” for the two directions of polarization directly. While results for spherical particles are in good agreement with Mie theory, those for arbitrary particles show co

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41

Badger, John. "A new algorithm for the reconstruction of protein molecular envelopes from X-ray solution scattering data." Journal of Applied Crystallography 52, no. 5 (August 14, 2019): 937–44. http://dx.doi.org/10.1107/s1600576719009774.

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At sufficiently low resolution, the scattering density within the volume occupied by a well folded protein molecule appears relatively flat. By enforcing this condition, three-dimensional protein molecular envelopes may be reconstructed using information obtained from X-ray solution scattering profiles. A practical approach for solving the low-resolution structures of protein molecules from solution scattering data involves modelling the protein shape using a set of volume-filling points (`beads') and transforming the scattering data to a more convenient target, the pair distance distribution

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42

Hansen, Steen. "The structure factor in small-angle scattering and the effect of deviation from spherical symmetry." Journal of Applied Crystallography 44, no. 2 (February 2, 2011): 265–71. http://dx.doi.org/10.1107/s0021889811001075.

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The effect of deviation from spherical symmetry is studied for the structure factor. This is done by combining the analytical expression for the excluded volume of an ellipsoid of revolution with the expression for the excluded volume correlation function for a sphere. This approach makes it possible to estimate the effect of small deviations from spherical symmetry as a function of axial ratio and volume fraction for relatively low volume fractions. The calculations are relevant for the case of short-range potentials where the Percus–Yevick formula is frequently applied, and indicate that eve

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43

Bernhoeft, N. "Geometrical effects in diffraction analysis." Acta Crystallographica Section A Foundations of Crystallography 55, no. 2 (March 1, 1999): 274–88. http://dx.doi.org/10.1107/s0108767398008149.

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The use of X-ray and neutron scattering as a tool to study phase transitions is well established. As techniques improve and experiments are made under successively higher resolution, the need to consider the role of both the distribution of diffracting length scales and the incident-beam coherence volume is emphasized. The interplay of diffracting length scales and the beam coherence volume no longer permits calculation of diffraction profiles in terms of the sample intensity response convolved with an instrumental resolution function. Rather, the probe and sample now enter the calculation on

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44

Chami, Malik, Eugeny B. Shybanov, Gueorgui A. Khomenko, Michael E. G. Lee, Oleg V. Martynov, and Gennady K. Korotaev. "Spectral variation of the volume scattering function measured over the full range of scattering angles in a coastal environment." Applied Optics 45, no. 15 (May 20, 2006): 3605. http://dx.doi.org/10.1364/ao.45.003605.

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45

Ugulen, Håvard S., Håkon Sandven, Børge Hamre, Arne S. Kristoffersen, and Camilla Sætre. "Analysis of multiple scattering errors in LISST-VSF volume scattering function measurements using Monte Carlo simulations and experimental data." Optics Express 29, no. 8 (April 7, 2021): 12413. http://dx.doi.org/10.1364/oe.419116.

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46

Lee, Jungki, Hyechang Lee, and Hogwan Jeong. "Multiple Scattering Using Parallel Volume Integral Equation Method: Interaction of SH Waves with Multiple Multilayered Anisotropic Elliptical Inclusions." Mathematical Problems in Engineering 2015 (2015): 1–48. http://dx.doi.org/10.1155/2015/809320.

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The parallel volume integral equation method (PVIEM) is applied for the analysis of elastic wave scattering problems in an unbounded isotropic solid containing multiple multilayered anisotropic elliptical inclusions. This recently developed numerical method does not require the use of Green’s function for the multilayered anisotropic inclusions; only Green’s function for the unbounded isotropic matrix is needed. This method can also be applied to solve general two- and three-dimensional elastodynamic problems involving inhomogeneous and/or multilayered anisotropic inclusions whose shape and nu

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47

Hansen, Steen. "Simultaneous estimation of the form factor and structure factor for globular particles in small-angle scattering." Journal of Applied Crystallography 41, no. 2 (March 8, 2008): 436–45. http://dx.doi.org/10.1107/s0021889808004937.

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Small-angle scattering data from non-dilute solutions of particles are often analysed by indirect Fourier transformation using a specific model structure factor to obtain an estimate of the distance distribution function that is free from concentration effects. A new approach is suggested here, whereby the concentration effects are expressed solely through real space functions without the use of an explicit structure factor. This is done by dividing the total distance distribution function for the scattering into three different contributions, as suggested by Kruglov [(2005).J. Appl. Cryst.38,

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48

Koestner, Daniel, Dariusz Stramski, and Rick Reynolds. "Measurements of the Volume Scattering Function and the Degree of Linear Polarization of Light Scattered by Contrasting Natural Assemblages of Marine Particles." Applied Sciences 8, no. 12 (December 19, 2018): 2690. http://dx.doi.org/10.3390/app8122690.

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The light scattering properties of seawater play important roles in radiative transfer in the ocean and optically-based methods for characterizing marine suspended particles from in situ and remote sensing measurements. The recently commercialized LISST-VSF instrument is capable of providing in situ or laboratory measurements of the volume scattering function, β p ( ψ ) , and the degree of linear polarization, DoLP p ( ψ ) , associated with particle scattering. These optical quantities of natural particle assemblages have not been measured routinely in past studies. To fully realize the potent

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49

Lee, Jungki, and Hogwan Jeong. "Near and far field scattering of SH waves by multiple multilayered anisotropic circular inclusions using parallel volume integral equation method." Engineering Computations 35, no. 1 (March 5, 2018): 432–76. http://dx.doi.org/10.1108/ec-05-2016-0164.

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Purpose The purpose of this paper is to calculate near field and far field scattering of SH waves by multiple multilayered anisotropic circular inclusions using parallel volume integral equation method (PVIEM) quantitatively. Design/methodology/approach The PVIEM is applied for the analysis of elastic wave scattering problems in an unbounded solid containing multiple multilayered anisotropic circular inclusions. It should be noted that this numerical method does not require the use of the Green’s function for the inclusion – only the Green’s function for the unbounded isotropic matrix is neede

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Berthon, Jean-François, Eugeny Shybanov, Michael E. G. Lee, and Giuseppe Zibordi. "Measurements and modeling of the volume scattering function in the coastal northern Adriatic Sea." Applied Optics 46, no. 22 (July 9, 2007): 5189. http://dx.doi.org/10.1364/ao.46.005189.

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