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Journal articles on the topic 'Ray Integral'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Palamodov, Victor. "Fourier Duality in Integral Geometry and Reconstruction from Ray Integrals." Journal of Fourier Analysis and Applications 20, no. 5 (2014): 947–60. http://dx.doi.org/10.1007/s00041-014-9340-7.

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2

PRODUIT, NICOLAS. "INTEGRAL: A GAMMA-RAY OBSERVATORY." International Journal of Modern Physics A 17, no. 12n13 (2002): 1787–97. http://dx.doi.org/10.1142/s0217751x0201128x.

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INTEGRAL1 is an ESA mission designed to study the γ-ray sky in the 10 keV to 10 MeV energy band. It will build upon previous results and expand our knowledge of the γ-ray astronomy. It is organised as an observatory and thus can be exploited by a wide community.

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3

Andreas, Birk, Giovanni Mana, and Carlo Palmisano. "Vectorial ray-based diffraction integral." Journal of the Optical Society of America A 32, no. 8 (2015): 1403. http://dx.doi.org/10.1364/josaa.32.001403.

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4

Mowlavi, Nami, Peter Kretschmar, Marc Türler, and Nicolas Produit. "INTEGRAL and Small Telescopes." International Astronomical Union Colloquium 183 (2001): 289–94. http://dx.doi.org/10.1017/s0252921100079100.

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AbstractThe future INTEGRAL satellite, to be launched in 2002, will observe the universe in gamma-rays. Parallel observations in other wavelengths are desirable for many gamma-ray objects, the most famous being certainly the gamma-ray bursts.In this article, we present the INTEGRAL mission and its scientific objectives. We then give three examples of astrophysics fields for which combined gamma ray and optical observations are recommended. Small telescopes would be ideally suited for many of the studies.

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5

Hermsen, W., and C. Winkler. "The INTEGRAL Mission." Symposium - International Astronomical Union 188 (1998): 87–90. http://dx.doi.org/10.1017/s0074180900114494.

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The International Gamma-Ray Astrophysics Laboratory (INTEGRAL) is dedicated to the fine spectroscopy (ΔE: 2 keV FWHM @ 1 MeV) and fine imaging (angular resolution: 12' FWHM) of celestial gamma-ray sources in the energy range 15 keV to 10 MeV. INTEGRAL was selected in 1993 as the next ESA medium-size scientific mission (M2) to be launched in 2001. ESA has the overall spacecraft and mission resposibilities, Russia will provide a PROTON launcher and launch facilities, and NASA will provide ground station support through the Deep Space Network. The scientific payload complement and the INTEGRAL Sc

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6

Diehl, Roland, Thomas Siegert, Jochen Greiner та ін. "INTEGRAL/SPI γ-ray line spectroscopy". Astronomy & Astrophysics 611 (березень 2018): A12. http://dx.doi.org/10.1051/0004-6361/201731815.

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Context. The space based γ-ray observatory INTEGRAL of the European Space Agency (ESA) includes the spectrometer instrument “SPI”. This is a coded mask telescope featuring a 19-element Germanium detector array for high-resolution γ-ray spectroscopy, encapsulated in a scintillation detector assembly that provides a veto for background from charged particles. In space, cosmic rays irradiate spacecraft and instruments, which, in spite of the vetoing detectors, results in a large instrumental background from activation of those materials, and leads to deterioration of the charge collection propert

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7

Andreas, Birk, Giovanni Mana, and Carlo Palmisano. "Vectorial ray-based diffraction integral: erratum." Journal of the Optical Society of America A 33, no. 4 (2016): 559. http://dx.doi.org/10.1364/josaa.33.000559.

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8

BALLMOOS, PETER, TONY DEAN, and CHRISTOPH WINKLER. "Gamma-Ray Line Spectroscopy with INTEGRAL." Annals of the New York Academy of Sciences 759, no. 1 (1995): 401–5. http://dx.doi.org/10.1111/j.1749-6632.1995.tb17572.x.

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9

Berejnov, Viatcheslav, Boris Rubinstein, Lis G. A. Melo, and Adam P. Hitchcock. "First-principles X-ray absorption dose calculation for time-dependent mass and optical density." Journal of Synchrotron Radiation 25, no. 3 (2018): 833–47. http://dx.doi.org/10.1107/s1600577518002655.

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A dose integral of time-dependent X-ray absorption under conditions of variable photon energy and changing sample mass is derived from first principles starting with the Beer–Lambert (BL) absorption model. For a given photon energy the BL dose integralD(e, t) reduces to the product of an effective time integralT(t) and a dose rateR(e). Two approximations of the time-dependent optical density,i.e.exponentialA(t) =c+aexp(−bt) for first-order kinetics and hyperbolicA(t) =c+a/(b+t) for second-order kinetics, were considered for BL dose evaluation. For both models three methods of evaluating the ef

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10

Ichimura, Humio. "Normal integral bases and ray class groups." Acta Arithmetica 114, no. 1 (2004): 71–85. http://dx.doi.org/10.4064/aa114-1-5.

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11

Santos, Vânia G. de Brito dos, and Wilson M. Figueiró. "Seismic ray tomography using L1 integral norm." Revista Brasileira de Geofísica 29, no. 2 (2011): 347–58. http://dx.doi.org/10.1590/s0102-261x2011000200010.

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12

Bignami, G. F. "ASTRONOMY: Enhanced: Gamma-Ray Astronomy with INTEGRAL." Science 298, no. 5598 (2002): 1560–61. http://dx.doi.org/10.1126/science.1079330.

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13

Ubertini, Pietro, A. Corsi, S. Foley, S. McGlynn, G. De Cesare, and A. Bazzano. "The INTEGRAL view of Gamma-Ray Bursts." Advances in Space Research 47, no. 8 (2011): 1374–86. http://dx.doi.org/10.1016/j.asr.2010.09.023.

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14

Götz, Diego, Sandro Mereghetti, and Kevin Hurley. "Unveiling soft gamma-ray repeaters with INTEGRAL." Astrophysics and Space Science 308, no. 1-4 (2007): 51–59. http://dx.doi.org/10.1007/s10509-007-9379-x.

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15

Lebrun, F., J. P. Leray, P. Lavocat, et al. "ISGRI: The INTEGRAL Soft Gamma-Ray Imager." Astronomy & Astrophysics 411, no. 1 (2003): L141—L148. http://dx.doi.org/10.1051/0004-6361:20031367.

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16

Petry, D., V. Beckmann, H. Halloin, and A. Strong. "Soft gamma-ray sources detected by INTEGRAL." Astronomy & Astrophysics 507, no. 1 (2009): 549–71. http://dx.doi.org/10.1051/0004-6361/200912844.

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17

McGee, Ramin, and Jonathan Hargreaves. "Ray tracing in Galerkin Boundary Integral form." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 5 (2023): 2429–40. http://dx.doi.org/10.3397/in_2022_0345.

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Ray tracing is an established method for computing the late-time part of room impulse responses. But it has the drawback that only very crude Monte Carlo models of boundary scattering and diffraction are possible to include without losing its attractive computational cost scaling. This happens because higher-resolution models of these processes output multiple child rays for every parent ray received, making the number of rays grow with reflection order. An emerging solution is so-called 'Surface-Based' Geometrical Acoustics. Here the distribution of rays arriving at a boundary is mapped onto

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18

Buchvarova, M., and P. Velinov. "Cosmic ray spectra in planetary atmospheres." Proceedings of the International Astronomical Union 4, S257 (2008): 471–73. http://dx.doi.org/10.1017/s1743921309029718.

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AbstractOur model generalizes the differential D(E) and integral D(>E) spectra of cosmic rays (CR) during the 11-year solar cycle. The empirical model takes into account galactic (GCR) and anomalous cosmic rays (ACR) heliospheric modulation by four coefficients. The calculated integral spectra in the outer planets are on the basis of mean gradients: for GCR – 3%/AU and 7%/AU for anomalous protons. The obtained integral proton spectra are compared with experimental data, the CRÈME96 model for the Earth and theoretical results of 2D stochastic model. The proposed analytical model gives practi

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19

Medzhidov, Zyaudin. "О восстановлении тензорного поля второго ранга с нулевым следом по неполным данным". Daghestan Electronic Mathematical Reports, № 14 (2020): 38–47. http://dx.doi.org/10.31029/demr.14.4.

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An algorithm for the complete reconstruction of a tensor field of rank 2 in three-dimensional Euclidean space on incomplete integral data is constructed. The solenoid part of the field is constructed using linear integrals on straight lines that intersect a curve at infinity, and the displacement field is constructed using the traceless normal ray integrals.

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20

Ershov, Sergey Valentinovich, Mikhail Sergeevich Kopylov, and Alexey Gennadievich Voloboy. "Separable Optimal Weights for Bidirectional Ray Tracing with Photon Maps while Mixing 3 Strategies." Keldysh Institute Preprints, no. 82-e (2024): 1–40. https://doi.org/10.20948/prepr-2024-82-e.

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Noise in the resultant image is inherent in the widely used bidirectional stochastic ray tracing with photon maps. The noise can be reduced by the Multiple Importance Sampling which combines results of different strategies with weights. In this paper we investigate the separable weights, derive and solve the system of integral equations that determine the optimal weights. It has several qualitative differences from the previously investigated case of general weights and results in more simple and numerically robust expressions. As before, they can be solved in the form of an algebraic formula

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21

Hudec, René, and Miloš Klíma. "Identification and Analyses in Optical Light of Gamma-Ray Sources with Astronomical Archival Plates." Advances in Astronomy 2010 (2010): 1–6. http://dx.doi.org/10.1155/2010/618975.

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The ESA INTEGRAL satellite (International Gamma Ray Laboratory) launched in October 2002 continues to deliver valuable data about the gamma-ray sky. Nearly 450 gamma-ray sources have been detected so far mainly by the IBIS onboard instrument, and others are expected in the future. The first 3.5 years of INTEGRAL public and Core Program data have revealed more than 400 sources and this number is expected to increase to more than 500 in the future (Bird et al. 2007). Alternative method to identify and to analyze INTEGRAL gamma-ray sources using optical light and astronomical archival plates is d

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22

Choi, So-Young. "RELATIVE INTEGRAL BASES OVER A RAY CLASS FIELD." Bulletin of the Korean Mathematical Society 43, no. 1 (2006): 77–80. http://dx.doi.org/10.4134/bkms.2006.43.1.077.

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23

Bošnjak, Ž., D. Götz, L. Bouchet, S. Schanne, and B. Cordier. "The spectral catalogue of INTEGRAL gamma-ray bursts." Astronomy & Astrophysics 561 (December 19, 2013): A25. http://dx.doi.org/10.1051/0004-6361/201322256.

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24

Malizia, A., L. Bassani, J. B. Stephen, A. Bazzano, and P. Ubertini. "X-ray absorption in INTEGRAL active galactic nuclei." Astronomy & Astrophysics 639 (July 2020): A5. http://dx.doi.org/10.1051/0004-6361/202038014.

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In this work the INTEGRAL hard X-ray selected sample of active galactic nuclei (AGN) has been used to investigate the possible contribution of absorbing material distributed within the host galaxies to the total amount of NH measured in the X-ray band. We collected all the available axial ratio measurements of the galaxies hosting our AGN together with their morphological information and found that for our hard X-ray selected sample as well there is a deficit of edge-on galaxies hosting type 1 AGN. We estimate that in our hard X-ray selected sample there is a deficit of 24% (±5%) of type 1 AGN

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25

Ubertini, Pietro, and Angela Bazzano. "The INTErnational Gamma Ray Astrophysics Laboratory: INTEGRAL Highlights." Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 742 (April 2014): 47–55. http://dx.doi.org/10.1016/j.nima.2013.12.027.

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26

Lund, N., C. Budtz-Jørgensen, N. J. Westergaard, et al. "JEM–X: The X-ray monitor aboard INTEGRAL." Astronomy & Astrophysics 411, no. 1 (2003): L231—L238. http://dx.doi.org/10.1051/0004-6361:20031358.

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27

LIU Chun-yang, 刘春阳, 王贺 WANG He, and 母一宁 MU Yi-ning. "X-ray Imaging Integral Filter Model and Experiment." Chinese Journal of Luminescence 38, no. 7 (2017): 978–83. http://dx.doi.org/10.3788/fgxb20173807.0978.

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28

Shi, Feng, Ben Kang Chang, Hong Chang Cheng, and Xiao Bing Xu. "Study on X-Ray Integral Diffraction Intensity of GaAs Photocathode." Advanced Materials Research 631-632 (January 2013): 209–15. http://dx.doi.org/10.4028/www.scientific.net/amr.631-632.209.

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In order to precisely predict the sensitivity of Ф18 mm transmission-mode GaAs photocathode, a concept of integral diffraction intensity is proposed based on X-ray diffraction principle after analyzing the predecessors′ limitations of testing the micro-area of such photocathode and GaAs photocathode of image intensifier tube is plane electron source in this paper. The integral diffraction intensity on the entire photocathode surface was obtained by multi-points detection in the effective area of the photocathode with integral method. The crystal quality of entire photocathode surface will be t

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29

Knödlseder, Jürgen. "Gamma-ray Spectroscopy." Highlights of Astronomy 13 (2005): 784–86. http://dx.doi.org/10.1017/s1539299600017111.

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AbstractGamma-ray spectroscopy has made important progress with the observations of the OSSE and COMPTEL telescopes aboard CGRO, and has entered the domain of high-resolution spectroscopy with the launch of the SPI telescope aboard the INTEGRAL satellite. Recent science highlights in this field are presented, and an outlook is given to future promising projects.

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30

Montmerle, Thierry. "Stars at γ-Ray Energies: the INTEGRAL Look at Stars". Symposium - International Astronomical Union 219 (2004): 55–62. http://dx.doi.org/10.1017/s0074180900181951.

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The European γ-ray satellite INTEGRAL, launched on October 17, 2002, is the successor to the highly successful American satellite Compton-GRO. Even though its main observational program focuses on “classical” high-energy sources like compact X-ray binaries or AGNs, some time is being devoted to γ-ray studies of massive stars and magnetically active late-type stars. We briefly describe here the four instruments of INTEGRAL, and summarize the ongoing stellar programs.

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31

Mereghetti, S., D. Götz, M. I. Andersen, et al. "GRB 040403: A faint X-ray rich gamma-ray burst discovered by INTEGRAL." Astronomy & Astrophysics 433, no. 1 (2005): 113–16. http://dx.doi.org/10.1051/0004-6361:20042030.

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32

Götz, Diego, Christian Gouiffès, Jérôme Rodriguez, et al. "INTEGRAL results on gamma-ray bursts and polarization of hard X-ray sources." New Astronomy Reviews 87 (December 2019): 101537. http://dx.doi.org/10.1016/j.newar.2020.101537.

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33

Shi, Feng, Ben Kang Chang, Hong Chang Cheng, Xiao Bing Xu, and Yi Jun Zhang. "Relationship between X-Ray Relative Diffraction Intensity and Integral Sensitivity of GaAlAs/GaAs Photocathode." Advanced Materials Research 664 (February 2013): 437–42. http://dx.doi.org/10.4028/www.scientific.net/amr.664.437.

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To establish a methode for predicting the integral sensitivity of transmission-mode GaAs photocathodes, the relationship between X-ray relative diffraction intensity and integral sensitivity of GaAlAs/GaAs photocathode material is researched. After thermocompression bonding Si3N4/GaAlAs/GaAs/GaAlAs/GaAs epitaxial material to glass window in the vacuum condition, and chemically etching the GaAlAs buffer-layer and GaAs substrate, the glass/Si3N4/GaAlAs/GaAs photocathode module is formed. The X-ray relative diffraction intensity of the photocathode module is tested and calculated respectively, th

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34

Fortin, F., S. Chaty, A. Coleiro, J. A. Tomsick, and C. H. R. Nitschelm. "Spectroscopic identication of INTEGRAL high-energy sources with VLT/ISAAC." Proceedings of the International Astronomical Union 14, S346 (2018): 49–54. http://dx.doi.org/10.1017/s1743921318007743.

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AbstractINTEGRAL has been observing the γ-ray sky for 15 years and has discovered many high-energy sources of various nature. Among them, active galactic nuclei (AGN), low or high-mass X-ray binaries (LMXB and HMXB) and cataclysmic variables (CV) are rather difficult to differentiate from one another at high energies and require further optical or near-infrared observations to constrain their exact nature. Using near-infrared photometric and spectroscopic data from ESO VLT/ISAAC, we aim to reveal the nature of 14 high-energy INTEGRAL sources and improve the census of X-ray binaries. By compari

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35

Sidoli, Lara, and Adamantia Paizis. "Investigating High Mass X-ray Binaries at hard X-rays with INTEGRAL." Proceedings of the International Astronomical Union 14, S346 (2018): 178–86. http://dx.doi.org/10.1017/s1743921319001145.

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AbstractThe INTEGRAL archive developed at INAF-IASF Milano with the available public observations from late 2002 to 2016 is investigated to extract the X-ray properties of 58 High Mass X-ray Binaries (HMXBs). This sample consists of sources hosting either a Be star (Be/XRBs) or an early-type supergiant companion (SgHMXBs), including the Supergiant Fast X-ray Transients (SFXTs). INTEGRAL light curves (sampled at 2 ks) are used to build their hard X-ray luminosity distributions, returning the source duty cycles, the range of variability of the X-ray luminosity and the time spent in each luminosi

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36

Krivonos, Roman A., Sergey Yu Sazonov, Ekaterina A. Kuznetsova, Alexander A. Lutovinov, Ilya A. Mereminskiy, and Sergey S. Tsygankov. "INTEGRAL/IBIS 17-yr hard X-ray all-sky survey." Monthly Notices of the Royal Astronomical Society 510, no. 4 (2021): 4796–807. http://dx.doi.org/10.1093/mnras/stab3751.

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ABSTRACT The International Gamma-Ray Astrophysics Laboratory (INTEGRAL), launched in 2002, continues its successful work in observing the sky at energies E &gt; 20 keV. The legacy of the mission already includes a large number of discovered or previously poorly studied hard X-ray sources. The growing INTEGRAL archive allows one to conduct an all-sky survey including a number of deep extragalactic fields and the deepest ever hard X-ray survey of the Galaxy. Taking advantage of the data gathered over 17 yr with the IBIS coded-mask telescope of INTEGRAL, we conducted survey of hard X-ray sour

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37

Fortin, F., S. Chaty, A. Coleiro, J. A. Tomsick, and C. H. R. Nitschelm. "Spectroscopic identification of INTEGRAL high-energy sources with VLT/ISAAC." Astronomy & Astrophysics 618 (October 2018): A150. http://dx.doi.org/10.1051/0004-6361/201731265.

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Context. The INTEGRAL satellite has been observing the γ-ray sky for 15 years and has detected over 900 X-ray sources of various nature. However, more than 200 of these sources still lack precise identification. Aims. Our goal is to reveal the nature of the high-energy sources detected by INTEGRAL. In particular, we want to improve the census of X-ray binaries. Methods. Photometry and spectroscopy were performed in July 2012 on 14 INTEGRAL sources in near-infrared at the Very Large Telescope on the European Southern Observatory-UT3 telescope equipped with the ISAAC spectrograph. We used Ks ima

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38

Motta, S. E., J. Rodriguez, E. Jourdain, et al. "The INTEGRAL view on black hole X-ray binaries." New Astronomy Reviews 93 (December 2021): 101618. http://dx.doi.org/10.1016/j.newar.2021.101618.

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39

Ichimura, Humio, and Fuminori Kawamoto. "Normal integral basis and ray class group modulo 4." Proceedings of the Japan Academy, Series A, Mathematical Sciences 79, no. 9 (2003): 139–41. http://dx.doi.org/10.3792/pjaa.79.139.

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40

WANG, WEI. "GALACTIC Al 1.8 MeV GAMMA-RAY SURVEYS WITH INTEGRAL." International Journal of Modern Physics: Conference Series 23 (January 2013): 48–53. http://dx.doi.org/10.1142/s2010194513011069.

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26 Al is a long-life radioactive isotope with a half lifetime of near 1 Myr. The origin of Galactic 26 Al is dominated by massive stars and their core-collapse supernovae. Detections of 1809 keV emission from 26 Al provide direct evidence that nucleosynthesis is ongoing in the Galaxy. The gamma-ray line shapes reflect the dynamics of the ejected isotopes in the interstellar medium and then probe properties of ISM and Galactic rotation effect. Gamma-ray emissions of 26 Al in the Galaxy are studied with the high spectral resolution INTEGRAL spectrometer (SPI). We carry out the first spectral sur

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41

Jang, Ju-Seog. "Compression of ray information in three-dimensional integral imaging." Optical Engineering 44, no. 12 (2005): 127001. http://dx.doi.org/10.1117/1.2148947.

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42

Siegert, Thomas, Roland Diehl, Christoph Weinberger, Moritz M. M. Pleintinger, Jochen Greiner та Xiaoling Zhang. "Background modelling for γ-ray spectroscopy with INTEGRAL/SPI". Astronomy & Astrophysics 626 (червень 2019): A73. http://dx.doi.org/10.1051/0004-6361/201834920.

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Context. The coded-mask spectrometer-telescope SPI on board the INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL) records photons in the energy range between 20 and 8000 keV. A robust and versatile method for modelling the dominating instrumental background radiation is difficult to establish for such a telescope in the rapidly changing space environment. Aims. In a previous paper we presented our spectral parameter database, developed from long-term monitoring of the SPI germanium detectors, that characterises the instrument response and background behaviour. Our aim is to build a se

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43

Sguera, V., E. J. Barlow, A. J. Bird, et al. "INTEGRAL observations of recurrent fast X-ray transient sources." Astronomy & Astrophysics 444, no. 1 (2005): 221–31. http://dx.doi.org/10.1051/0004-6361:20053103.

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44

Rau, A., A. v. Kienlin, K. Hurley, and G. G. Lichti. "The 1st INTEGRAL SPI-ACS gamma-ray burst catalogue." Astronomy & Astrophysics 438, no. 3 (2005): 1175–83. http://dx.doi.org/10.1051/0004-6361:20053159.

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45

Krivonos, R., S. Tsygankov, A. Lutovinov, M. Revnivtsev, E. Churazov, and R. Sunyaev. "INTEGRAL/IBIS nine-year Galactic hard X-ray survey." Astronomy & Astrophysics 545 (August 31, 2012): A27. http://dx.doi.org/10.1051/0004-6361/201219617.

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46

Beliakov, Gleb. "Numerical evaluation of the Luneburg integral and ray tracing." Applied Optics 35, no. 7 (1996): 1011. http://dx.doi.org/10.1364/ao.35.001011.

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47

Gianní, S., A. De Rosa, L. Bassani, A. Bazzano, T. Dean, and P. Ubertini. "An X-ray view of the INTEGRAL/IBIS blazars." Monthly Notices of the Royal Astronomical Society 411, no. 4 (2011): 2137–47. http://dx.doi.org/10.1111/j.1365-2966.2010.17725.x.

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48

Bazzano, A., and Pietro Ubertini. "The INTEGRAL legacy: unveiling the soft gamma-ray sky." Nuclear Physics B - Proceedings Supplements 212-213 (March 2011): 349–55. http://dx.doi.org/10.1016/j.nuclphysbps.2011.03.047.

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49

Jiao, Shaohui, Xiaoguang Wang, Mingcai Zhou, et al. "Multiple ray cluster rendering for interactive integral imaging system." Optics Express 21, no. 8 (2013): 10070. http://dx.doi.org/10.1364/oe.21.010070.

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50

Ubertini, P. "Two years of INTEGRAL result on X-ray binaries." Advances in Space Research 38, no. 12 (2006): 2964–69. http://dx.doi.org/10.1016/j.asr.2006.04.020.

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