instruments Article Electron Beam Brightness and Undulator Radiation Brilliance for a Laser Plasma Acceleration Based Free Electron Laser Amin Ghaith 1,* , Alexandre Loulergue 1, Driss Oumbarek 1, Olivier Marcouillé 1, Mathieu Valléau 1, Marie Labat 1, Sebastien Corde 2 and Marie-Emmanuelle Couprie 1 1 Synchrotron Source Optimisée de Lumière d’Energie Intermédiaire du LURE (Laboratoire pour l’Utilisation du Rayonnement Electromagnétique) (Synchrotron SOLEIL), L’Orme des Merisiers, 91190 Saint-Aubin, France;
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[email protected] (M.-E.C.) 2 École Nationale Supérieure de Techniques Avancées Paris (ENSTA Paris), Centre National de la Recherche Scientifique (CNRS), Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau, France;
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[email protected] Received: 3 December 2019; Accepted: 27 December 2019; Published: 1 January 2020 Abstract: We report here on spontaneous undulator radiation and free electron laser calculations after a 10-m long transport line (COXINEL) using a Laser Plasma acceleration (LPA) source. The line enables the manipulation of the properties of the produced electron beams (energy spread, divergence, dispersion) in view of light source applications. The electron beam brightness and undulator radiation brilliance are addressed by an analytical approach enabling us to point out the influence of chromatic effects in the COXINEL case. Keywords: laser plasma acceleration; electron beam brightness; undulator radiation; free electron laser 1. Introduction Particle accelerators have become a crucial need for advancement in many domains such as nanotechnology, atomic physics, nuclear physics, chemistry and medicine.