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... Rapid developments of lasers and particle accelerators resulted in implementation of laser plasma X-ray sources and free electron lasers for various experiments requiring high intensity, shrt duration and monochromatic X-ray radiation. ... BASICS AND APPROACH Thirty years development of laboratory X-ray lasers allowed to reach ~0.1 keV photon energy of coherent X-ray beams in a repetitive mode. ... X-rays originate from Thomson scattering of counter propagating laser and electron beams. ...

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• Proposal of a Compact Repetitive Dichromatic X-ray Generator with Millisecond

... 21, No. 2, pp. 396­417 c 1999 Society for Industrial and Applied Mathematics TRANSFORMATION OF FAMILIES OF MATRICES TO NORMAL FORMS AND ITS APPLICATION TO STABILITY THEORY ALEXEI A. MAILYBAEV Abstract. Families of matrices smo othly dep ending on a vector of parameters are considered. ... Derivatives of these functions with resp ect to parameters are determined from a recurrent pro cedure using derivatives of the functions of lower orders and derivatives of the family of matrices. ... Theorem 2.4. ...

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Introduction to PLASMA ASTROPHYSICS (Selected 10 lectures) Boris V. Somov Astronomical Institute and Faculty of Physics Moscow State University Pushino-na-Oke, 2008 Contents Ab out These Lectures 1 Particles and Fields: Exact Self-Consistent Description 1.1 Liouville's theorem . . . . . . . . . . . . . . . . . . . 1.1.1 Continuity in phase space . . . . . . . . . 1.1.2 The character of particle interactions 1.1.3 The Lorentz force, gravity . . . . . . . . . 1.1.4 Collisional friction . . . . . . . . . . . .

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