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Extended gamma sources modelling using multipole expansion: Application to the Tunisian gamma source load planning
Institution:1. Département de Physique, Faculté des Sciences de Tunis, El-Manar 2092, Tunisia;2. Centre National des Sciences et Technologies Nucléaires, Technopole de Sidi-Thabet 2020, Tunisia;1. Helmholtz Zentrum München, German Research Center for Environmental Health, Institute of Radiation Protection, Ingolstädter Landstr. 1, 86457 Neuherberg, Germany;2. Department of Physics, University of Ibadan, Ibadan, Nigeria;1. Ural Federal University, Ekaterinburg, Russian Federation;2. Physics Department, McDaniel College, Westminster, MD 21157, USA;1. Nanobiomaterials and Nanosciences Center, Molecular Sciences and Nanosystems Department, Università Ca׳ Foscari Venezia, via Torino 155/b, 30172 Venezia–Mestre, Italy;2. Institute for Energetics and Interphases, National Research Council (IENI–CNR) c/o Department of Chemical Sciences, Padova University, via F. Marzolo 1, 35131 Padova, Italy;3. Department of Industrial Engineering, University of Trento, via Mesiano 77, 38123 Trento, Italy;4. Environmental Science Informatics and Statistics Department, Università Ca׳ Foscari Venezia, Dorsoduro 2137, 30123 Venezia, Italy;5. Veneto Nanotech, Via Delle Industrie 5, Marghera, Venice 30175, Italy;1. Unité de recherche: Maîtrise et développement des techniques nucléaires à caractère pacifique, Centre National des Sciences et Technologie Nucléaires, 2020 Sidi-Thabet, Tunisia;2. ISTLS, University of Sousse, Tunisia;3. Academie Militaire de Fondouk Jedid, 8012 Nabeul, Tunisia;4. Laboratoire des Solides Irradiés, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France;5. Centre National de Recherche en Sciences des Matériaux, B.P. 95, Hammam-Lif 2050, Tunisia;6. Laboratoire des Interfaces et Matériaux Avancés, Faculté des Sciences, University of Monastir, Avenue de l’environnement, 5019 Monastir, Tunisia
Abstract:In this work, we focus on the effect of the source geometry for radiation profile studies using the generalized Laplace's expansion. We develop a new method to express the bare gamma photon flux rate in terms of the standard Cartesian multipole moments. Using the properties of these moments we establish a close relationship between the radiation profile and the geometrical features of the source. As application a detailed study of the arrangement of the unit pencil sources of the Tunisian irradiation facility is performed. Using this method, millions of possible configurations for various load plans were investigated, in a reasonable time and even multisteps scenarios were considered. Furthermore, using this analytical method it was even possible to optimize the activity of each new unit source.
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