On four-point penalized Lagrange subdivision schemes

International audienceThis paper is devoted to the definition and analysis of new subdivision schemes called penalized Lagrange. Their construction is based on an originalreformulation for the construction of the coefficients of the mask associated to the classical $4$-points Lagrange interpolatory subdivision scheme: these coefficients can be formallyinterpreted as the solution of a linear system similar to the one resulting from the constrained minimization problem in Kriging theory which is commonly used for reconstruction in geostatistical studies. In sucha framework, the introduction in the formulation of a so-called error variance can be viewed as a penalization of the oscillations of the coefficients.Following this idea, we propose to penalize the $4$-points Lagrange system. This penalization transforms the interpolatory schemes into approximating ones with specific properties suitable for the subdivision of locallynoisy or strongly oscillating data. According to a so-called penalization vector, a family of schemes can be generated. A full theoretical study is first performed to analyze this new type of non stationary subdivision schemes. Then, in the framework of position dependant penalization vector, several numerical tests are provided to point out the efficiency of these schemes comparedto standard approaches

Laser-initiated primary and secondary nuclear reactions in Boron-Nitride

International audienceNuclear reactions initiated by laser-accelerated particle beams are a promising new approach to many applications, from medical radioisotopes to aneutronic energy production. We present results demonstrating the occurrence of secondary nuclear reactions, initiated by the primary nuclear reaction products, using multicomponent targets composed of either natural boron (B) or natural boron nitride (BN). The primary proton-boron reaction (p + 11B → 3 α + 8.7 MeV), is one of the most attractive aneutronic fusion reaction. We report radioactive decay signatures in targets irradiated at the Elfie laser facility by laser-accelerated particle beams which we interpret as due to secondary reactions induced by alpha (α) particles produced in the primary reactions. Use of a second nanosecond laser beam, adequately synchronized with the short laser pulse to produce a plasma target, further enhanced the reaction rates. High rates and chains of reactions are essential for most applications

Développement d'un outil informatique opérationnel d'aide à la décision et de modélisation des pollutions en Méditerranée

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PADC nuclear track detector for ion spectroscopy in laser-plasma acceleration

[EN] The transparent polymer polyallyl-diglycol-carbonate (PADC), also known as CR-39, is widely used as detector for heavy charged particles at low fluence. It allows for detection of single protons and ions via formation of microscopic tracks after etching in NaOH or KOH solutions. PADC combines a high sensitivity and high specificity with inertness towards electromagnetic noise. Present fields of application include laser-ion acceleration, inertial confinement fusion, radiobiological studies with cell cultures, and dosimetry of nuclear fragments in particle therapy. These require precise knowledge of the energy-dependent response of PADC to different ion species. We present calibration data for a new type of detector material, Radosys RS39, to protons (0.2-3 MeV) and carbon ions (0.6-12 MeV). RS39 is less sensitive to protons than other types of PADC. Its response to carbon ions, however, is similar to other materials. Our data indicate that RS39 allows for measuring carbon ion energies up to 10 MeV only from the track diameters. In addition, it can be used for discrimination between protons and carbon ions in a single etching process.Project funded by CSIC, Grant No. 2018501082, and by the Spanish Ministerio de Ciencia, Innovacion y Universidades, project MdM-2016-0692-17-2 via a predoctoral grant of type Maria de Maeztu FPI. Nuclear track detector material and readout equipment have been provided by Radosys Ldt. (Budapest). The authors acknowledge the contributions and commitment of the CNA accelerator operators. MS would like to thank L. Ballesteros and J. Ortiz for their support with precision equipment.Seimetz, M.; Peñas, J.; Llerena, JJ.; Benlliure, J.; García López, J.; Millán-Callado, MA.; Benlloch Baviera, JM. (2020). PADC nuclear track detector for ion spectroscopy in laser-plasma acceleration. Physica Medica. 76:72-76. https://doi.org/10.1016/j.ejmp.2020.06.005S727676Kodaira, S., Kitamura, H., Kurano, M., Kawashima, H., & Benton, E. R. (2019). Contribution to dose in healthy tissue from secondary target fragments in therapeutic proton, He and C beams measured with CR-39 plastic nuclear track detectors. Scientific Reports, 9(1). doi:10.1038/s41598-019-39598-0Scampoli, P., Casale, M., Durante, M., Grossi, G., Pugliese, M., & Gialanella, G. (2001). Low-energy light ion irradiation beam-line for radiobiological studies. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 174(3), 337-343. doi:10.1016/s0168-583x(00)00622-4WADA, S., KOBAYASHI, Y., FUNAYAMA, T., NATSUHORI, M., ITO, N., & YAMAMOTO, K. (2002). Detection of DNA Damage in Individual Cells Induced by Heavy-ion Irradiation with an Non-denaturing Comet Assay. Journal of Radiation Research, 43(S), S153-S156. doi:10.1269/jrr.43.s153Gaillard, S., Pusset, D., de Toledo, S. M., Azzam, E. I., & Fromm, M. (2008). Distance distribution of bystander effects in alpha-particle irradiated cell populations using a CR-39-based culture dish. Radiation Measurements, 43, S34-S40. doi:10.1016/j.radmeas.2008.03.063Yogo, A., Maeda, T., Hori, T., Sakaki, H., Ogura, K., Nishiuchi, M., … Kondo, K. (2011). Measurement of relative biological effectiveness of protons in human cancer cells using a laser-driven quasimonoenergetic proton beamline. Applied Physics Letters, 98(5), 053701. doi:10.1063/1.3551623Séguin, F. H., Frenje, J. A., Li, C. K., Hicks, D. G., Kurebayashi, S., Rygg, J. R., … Padalino, S. (2003). Spectrometry of charged particles from inertial-confinement-fusion plasmas. Review of Scientific Instruments, 74(2), 975-995. doi:10.1063/1.1518141Daido, H., Nishiuchi, M., & Pirozhkov, A. S. (2012). Review of laser-driven ion sources and their applications. Reports on Progress in Physics, 75(5), 056401. doi:10.1088/0034-4885/75/5/056401Sinenian, N., Rosenberg, M. J., Manuel, M., McDuffee, S. C., Casey, D. T., Zylstra, A. B., … Petrasso, R. D. (2011). The response of CR-39 nuclear track detector to 1–9 MeV protons. Review of Scientific Instruments, 82(10), 103303. doi:10.1063/1.3653549Malinowska A, Szydłowski A, Jaskóła M, Korman A, Sartowska B, Kuehn T, Kuk M. Investigations of protons passing through the CR-39/PM-355 type of solid state nuclear track detectors, Rev Sci Instrum 84 (2013) 073511.Baccou, C., Yahia, V., Depierreux, S., Neuville, C., Goyon, C., Consoli, F., … Labaune, C. (2015). CR-39 track detector calibration for H, He, and C ions from 0.1-0.5 MeV up to 5 MeV for laser-induced nuclear fusion product identification. Review of Scientific Instruments, 86(8), 083307. doi:10.1063/1.4927684Seimetz, M., Bellido, P., García, P., Mur, P., Iborra, A., Soriano, A., … Benlloch, J. M. (2018). Spectral characterization of laser-accelerated protons with CR-39 nuclear track detector. Review of Scientific Instruments, 89(2), 023302. doi:10.1063/1.5009587Xiaojiao, D., Xiaofei, L., Zhixin, T., Yongsheng, H., Shilun, G., Dawei, Y., & Naiyan, W. (2009). Calibration of CR-39 with monoenergetic protons. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 609(2-3), 190-193. doi:10.1016/j.nima.2009.08.061Kodaira, S., Morishige, K., Kawashima, H., Kitamura, H., Kurano, M., Hasebe, N., … Ogura, K. (2016). A performance test of a new high-surface-quality and high-sensitivity CR-39 plastic nuclear track detector – TechnoTrak. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 383, 129-135. doi:10.1016/j.nimb.2016.07.002Ogura, K., Asano, M., Yasuda, N., & Yoshida, M. (2001). Properties of TNF-1 track etch detector. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 185(1-4), 222-227. doi:10.1016/s0168-583x(01)00816-3Malinowska, A., Jaskóła, M., Korman, A., Szydłowski, A., & Kuk, M. (2014). Characterization of solid state nuclear track detectors of the polyallyl-diglycol-carbonate (CR-39/PM-355) type for light charged particle spectroscopy. Review of Scientific Instruments, 85(12), 123505. doi:10.1063/1.4903755Bahrami, F., Mianji, F., Faghihi, R., Taheri, M., & Ansarinejad, A. (2016). Response of CR-39 to 0.9–2.5 MeV protons for KOH and NaOH etching solutions. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 813, 96-101. doi:10.1016/j.nima.2016.01.015Jeong, T. W., Singh, P. K., Scullion, C., Ahmed, H., Hadjisolomou, P., Jeon, C., … Ter-Avetisyan, S. (2017). CR-39 track detector for multi-MeV ion spectroscopy. Scientific Reports, 7(1). doi:10.1038/s41598-017-02331-wKanasaki, M., Hattori, A., Sakaki, H., Fukuda, Y., Yogo, A., Jinno, S., … Yamauchi, T. (2013). A high energy component of the intense laser-accelerated proton beams detected by stacked CR-39. Radiation Measurements, 50, 46-49. doi:10.1016/j.radmeas.2012.10.009Groza, A., Serbanescu, M., Butoi, B., Stancu, E., Straticiuc, M., Burducea, I., … Ganciu, M. (2019). Advances in Spectral Distribution Assessment of Laser Accelerated Protons using Multilayer CR-39 Detectors. Applied Sciences, 9(10), 2052. doi:10.3390/app9102052Zhang, Y., Wang, H.-W., Ma, Y.-G., Liu, L.-X., Cao, X.-G., Fan, G.-T., … Fang, D.-Q. (2019). Energy calibration of a CR-39 nuclear-track detector irradiated by charged particles. Nuclear Science and Techniques, 30(6). doi:10.1007/s41365-019-0619-xSeimetz, M., Bellido, P., Soriano, A., Garcia Lopez, J., Jimenez-Ramos, M. C., Fernandez, B., … Benlloch, J. M. (2015). Calibration and Performance Tests of Detectors for Laser-Accelerated Protons. IEEE Transactions on Nuclear Science, 62(6), 3216-3224. doi:10.1109/tns.2015.2480682Rana, M. A., & Qureshi, I. . (2002). Studies of CR-39 etch rates. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 198(3-4), 129-134. doi:10.1016/s0168-583x(02)01526-4Hermsdorf, D., Hunger, M., Starke, S., & Weickert, F. (2007). Measurement of bulk etch rates for poly-allyl-diglycol carbonate (PADC) and cellulose nitrate in a broad range of concentration and temperature of NaOH etching solution. Radiation Measurements, 42(1), 1-7. doi:10.1016/j.radmeas.2006.06.009Azooz, A. A., & Al-Jubbori, M. A. (2013). Interrelated temperature dependence of bulk etch rate and track length saturation time in CR-39 detector. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 316, 171-175. doi:10.1016/j.nimb.2013.09.001Jadrníčková I, Spurný F. To the spectrometry of linear energy transfer in charged particle beams by means of track-etch detectors, Radiat Measure 43(2008): S191–S194, proceedings of the 23rd International Conference on Nuclear Tracks in Solids. doi: 10.1016/j.radmeas.2008.04.010.Sadowski, M., Al-Mashhadani, E. M., Szydłowski, A., Czyzewski, T., Głowacka, L., Jaskóła, M., … Wieluński, M. (1995). Comparison of responses of CR-39 and PM-355 track detectors to fast protons, deuterons and 4He ions within energy range 0.2–4.5 MeV. Radiation Measurements, 25(1-4), 175-176. doi:10.1016/1350-4487(95)00066-nSadowski, M., Szydlowski, A., Jaskola, M., Czyzewski, T., & Kobzev, A. P. (1997). Comparison of responses of CR-39, PM-355, and CN track detectors to energetic hydrogen-, helium-, nitrogen-, and oxygen-ions. Radiation Measurements, 28(1-6), 207-210. doi:10.1016/s1350-4487(97)00069-3Henig, A., Steinke, S., Schnürer, M., Sokollik, T., Hörlein, R., Kiefer, D., … Habs, D. (2009). Radiation-Pressure Acceleration of Ion Beams Driven by Circularly Polarized Laser Pulses. Physical Review Letters, 103(24). doi:10.1103/physrevlett.103.245003Kar, S., Kakolee, K. F., Qiao, B., Macchi, A., Cerchez, M., Doria, D., … Borghesi, M. (2012). Ion Acceleration in Multispecies Targets Driven by Intense Laser Radiation Pressure. Physical Review Letters, 109(18). doi:10.1103/physrevlett.109.185006Palaniyappan, S., Huang, C., Gautier, D. C., Hamilton, C. E., Santiago, M. A., Kreuzer, C., … Fernández, J. C. (2015). Efficient quasi-monoenergetic ion beams from laser-driven relativistic plasmas. Nature Communications, 6(1). doi:10.1038/ncomms10170McGuffey, C., Raymond, A., Batson, T., Hua, R., Petrov, G. M., Kim, J., … Beg, F. N. (2016). Acceleration of high charge-state target ions in high-intensity laser interactions with sub-micron targets. New Journal of Physics, 18(11), 113032. doi:10.1088/1367-2630/18/11/113032Ma, W. J., Kim, I. J., Yu, J. Q., Choi, I. W., Singh, P. K., Lee, H. W., … Nam, C. H. (2019). Laser Acceleration of Highly Energetic Carbon Ions Using a Double-Layer Target Composed of Slightly Underdense Plasma and Ultrathin Foil. Physical Review Letters, 122(1). doi:10.1103/physrevlett.122.014803Hegelich, M., Karsch, S., Pretzler, G., Habs, D., Witte, K., Guenther, W., … Roth, M. (2002). MeV Ion Jets from Short-Pulse-Laser Interaction with Thin Foils. Physical Review Letters, 89(8). doi:10.1103/physrevlett.89.085002Henig, A., Kiefer, D., Markey, K., Gautier, D. C., Flippo, K. A., Letzring, S., … Hegelich, B. M. (2009). Enhanced Laser-Driven Ion Acceleration in the Relativistic Transparency Regime. Physical Review Letters, 103(4). doi:10.1103/physrevlett.103.045002Carroll, D. C., Tresca, O., Prasad, R., Romagnani, L., Foster, P. S., Gallegos, P., … McKenna, P. (2010). Carbon ion acceleration from thin foil targets irradiated by ultrahigh-contrast, ultraintense laser pulses. New Journal of Physics, 12(4), 045020. doi:10.1088/1367-2630/12/4/045020Jung, D., Yin, L., Albright, B. J., Gautier, D. C., Letzring, S., Dromey, B., … Hegelich, B. M. (2013). Efficient carbon ion beam generation from laser-driven volume acceleration. New Journal of Physics, 15(2), 023007. doi:10.1088/1367-2630/15/2/023007Dollar, F., Zulick, C., Matsuoka, T., McGuffey, C., Bulanov, S. S., Chvykov, V., … Krushelnick, K. (2013). High contrast ion acceleration at intensities exceeding 1021 Wcm−2. Physics of Plasmas, 20(5), 056703. doi:10.1063/1.4803082Kohno, R., Yasuda, N., Takeshi, H., Kase, Y., Ochiai, K., Komori, M., … Kanai, T. (2005). Measurements of Dose-Averaged Linear Energy Transfer Distributions in Water Using CR-39 Plastic Nuclear Track Detector for Therapeutic Carbon Ion Beams. Japanese Journal of Applied Physics, 44(12), 8722-8726. doi:10.1143/jjap.44.8722Romo, V., Rickards, J., Espinosa, G., & Golzarri, J. I. (1999). The Response of CR-39 Polycarbonate to Energetic Carbon Ions. Radiation Protection Dosimetry, 85(1), 459-461. doi:10.1093/oxfordjournals.rpd.a032897Szydlowski, A., Czyzewski, T., Jaskola, M., Sadowski, M., Korman, A., Kedzierski, J., & Kretschmer, W. (1999). Investigation of response of CR-39, PM-355 and PM-500 types of nuclear track detectors to energetic carbon ions. Radiation Measurements, 31(1-6), 257-260. doi:10.1016/s1350-4487(99)00125-

PREMIUM, a benchmark on the quantification of the uncertainty of the physical models in the system thermal-hydraulic codes: methodologies and data review

The objective of the Post-BEMUSE Reflood Model Input Uncertainty Methods (PREMIUM) benchmark is to progress on the issue of the quantification of the uncertainty of the physical models in system thermalhydraulic codes by considering a concrete case: the physical models involved in the prediction of core reflooding. The present document was initially conceived as a final report for the Phase I “Introduction and Methodology Review” of the PREMIUM benchmark. The objective of Phase I is to refine the definition of the benchmark and publish the available methodologies of model input uncertainty quantification relevant to the objectives of the benchmark. In this initial version the document was approved by WGAMA and has shown its usefulness during the subsequent phases of the project. Once Phase IV was completed, and following the suggestion of WGAMA members, the document was updated adding a few new sections, particularly the description of four new methodologies that were developed during this activity. Such developments were performed by some participants while contributing to PREMIUM progress (which is why this report arrives after those of other phases). After this revision the document title was changed to “PREMIUM methodologies and data review”. The introduction includes first a chapter devoted to contextualization of the benchmark in nuclear safety research and licensing, followed by a description of the PREMIUM objectives. Next, a description of the Phases in which the benchmark is divided and its organization is explained. Chapter two consists of a review of the involvement of the different participants, making a brief explanation of the input uncertainty quantification methodologies used in the activity. The document ends with some conclusions on the development of Phase I, some more general remarks and some statements on the benefits of the benchmark, which can be briefly summarized as it follows: - Contribution to development of tools and experience related to uncertainty calculation and promotion of the use of BEPU approaches for licensing and safety assessment purposes; - Contribution to prioritization of improvements to thermal-hydraulic system codes; - Contribution to a fluent and close interaction between the scientific community and regulatory organizations. Appendices include the complete description of the experimental data FEBA/SEFLEX used in the benchmark and the methodologies CIRCÉ and FFTBM and the general requirements and description specification used for Phase I. Due to the revision of the document, four extra appendixes have been added related to the methods developed during the activity, MCDA DIPE, Tractebel IUQ and PSI methods

Study on a compact and adaptable Thomson Spectrometer for laser-initiated 11B(p,α)8Be reactions and low-medium energy particle detection

Thomson Spectrometers are of primary importance in the discrimination of particles produced by laser-plasma interaction, according to their energy and charge-mass ratio. We describe here a detailed study on a set of Thomson Spectrometers, adaptable to different experimental situations, with the aim of being placed directly within the experimental chamber, rather than in additional extensions, in order to increase the solid angle of observation. These instruments are suitable for detection of low-medium energy particles and can be effectively employed in laser-plasma experiments of 11B(p,α)8Be fusion. They are provided with permanent magnets, have small dimensions and compact design. In these small configurations electric and magnetic fringing fields play a primary role for particle deflection, and their accurate characterization is required. It was accomplished by means of COMSOL electromagnetic solver coupled to an effective analytical model, very suitable for practical use of the spectrometers. Data from experimental measurements of the magnetic fields have been also used. We describe the application of the spectrometers to an experiment of laser-plasma interaction, coupled to Imaging Plate detectors. Data analysis for spectrum and yield of the detected radiation is discussed in detail. © 2016 ENEA

Kriging-based interpolatory subdivision schemes

International audienceThis paper is devoted to the definition, analysis and implementation of a new type of subdivision schemes adapted to data (through a stochastic approach) and to a partition of their support. Its construction combines position-dependent multiscale approximation ([7]) and the Kriging method ([12]). After a full convergence analysis that requires to extend classical results to this new framework, it is applied to data prediction for uni and bi-variate problems and compared to the Lagrange interpolatory subdivision

Contribution of the mathematical modelling of knowledge to the evaluation of uncertainty margins of a LBLOCA transient (LOFT-L2-5)

This work is devoted to some recent developments in uncertainty analysis of the computer code responses used for accident management procedures in nuclear industry. The classical probabilistic approach to evaluate uncertainties is recalled. In this case, the statistical treatment of the code responses is based on the use of order statistics. It provides direct estimations of relevant statistical measures for safety studies. However, the lack of knowledge about uncertainty sources can deteriorate the decision-making. To respect the real state of knowledge, a second model, based on the Dempster-Shafer theory is introduced. It allows to mix the probabilistic approach with the possibility theory that is more appropriate when few information is available. An application of both methodologies to the uncertainty analysis of a LBLOCA transient (LOFT-L2-5) is given. © 2007 Elsevier B.V. All rights reserved