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TY - CONF AU - Benediktovitch, A.I. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - First Order Perturbation Theory Evaluation of Initial Stage of Self Amplified Crystal-Based X-Ray Emission J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016 C1 - St. Petersburg, Russia T2 - Russian Particle Accelerator Conference T3 - 25 LA - english AB - X-ray Free Electron Lasers open new revolutionary opportunities for investigations in materials science, chemistry, biology and other areas. However, due to high cost of construction and maintain, the access to these facilities for wide scientific community is quite limited. This motivates search for schemes of compact bright x-ray sources. The size of X-ray Free Electron Lasers is dictated by basic properties of undulator radiation: to produce x-rays with Angstrom wavelength from cm period undulator one needs electrons with energy in GeV range. If one considers the radiation mechanisms accompanying the propagation of electron beam through a crystal structure (channeling radiation, parametric x-ray radiation, Cherenkov radiation near K-edge), one can see that to get photons in x-ray range one needs electrons with energy of tens to hundreds MeV. One of the ways to get bright x-ray source based on crystal-assisted radiation mechanisms is to run the electrons in coherent radiation regime based on self amplified spontaneous emission (SASE). In the present contribution we will discuss under which conditions the SASE can start in the case of crystal-assisted radiation mechanisms. To investigate the initial stage of SASE process we use the first-order perturbation theory that enables to describe the collective beam response as effective susceptibility. Based on this approach we will analyze which experimental geometry would promising for the SASE process onset. PB - JACoW CP - Geneva, Switzerland SP - 325 EP - 327 KW - electron KW - radiation KW - electromagnetic-fields KW - resonance KW - undulator DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-TUPSA052 UR - http://jacow.org/rupac2016/papers/tupsa052.pdf ER -