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A simple and fast method for computing the relativistic Compton scattering kernel for radiative transfer
Affiliation:1. CEA, DAM, DIF, F-91297 Arpajon, France;2. Leidos Inc, Reston, VA 20190, USA;3. International Atomic Energy Agency, A-1400 Vienna, Austria;4. Los Alamos National Laboratory, Los Alamos, NM 87545, USA;5. Sandia National Laboratories, Albuquerque, NM 87185, USA;6. Forschungszentrum Jülich, Inst Energie & Klimaforsch Plasmaphys, D-52425  Jülich, Germany;7. Lawrence Livermore National Laboratory, Livermore, CA 94550, USA;8. Faculty of Physics, Weizmann Institute of Science, Rehovot 7610001, Israel;9. National Institute of Standards and Technology, Gaithersburg, MD 20899-8422, USA;1. Lawrence Livermore National Laboratory, Livermore, CA 94550, United States;2. Massachusetts Institute of Technology Plasma Science and Fusion Center, Cambridge, Massachusetts 02139, United States;3. Laboratory for Laser Energetics, Rochester, New York 14623, United States
Abstract:The Klein-Nishina differential cross section averaged over a relativistic Maxwellian electron distribution is analytically reduced to a single integral, which can then be rapidly evaluated in a variety of ways. A particularly fast method for numerically computing this single integral is presented. This is, to our knowledge, the first correct computation of the Compton scattering kernel.
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