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TY - UNPB AU - Tishchenko, A.A. ED - Kuzin, Maksim V. ED - Schaa, Volker RW TI - Laser Undulator as a Compact X-Ray Source: State of the Art and New Trends J2 - presented at RuPAC2021, Alushta, Crimea, 27 September-01 October 2021 CY - Alushta, Crimea T2 - Russian Particle Accelerator Conference T3 - 27 LA - english AB - Thomson (or, in the quantum regime, Compton) backscattering occurs when a beam of charged par-ticles collides with the laser pulse, and so the electrons oscillate in the periodic field of the electromag-netic wave, what is called light or laser undulator. This radiation source is a modern and promising in-strument for generation of X-ray radiation. While Thomson sources are compact and comparatively cheap, their main characteristics (number of photons per pulse, energy bandwidth, pulse duration, emit-tance etc.) can be sufficient for applications in phase contrast and K-edge imaging, cancer therapy, computed tomography and so on. In this report we describe briefly the current state of development of such sources. We discuss the theoretical approach describing the interaction of electron beams with electromagnetic waves, advantages and disadvantages of linear and nonlinear regimes, coherent effects in radiation from short bunches, including sub-picosecond ones, as well as the new trends in this field, as a growing interest to the radiation of attosecond relativistic electron bunches. ER -