Modified Baier-Katkov Method for Twisted Photon Radiation

17 Sept 2019, 12:30
20m
Oral General radiation properties from relativistic particles General Properties of Radiation from Relativistic Particles

Speaker

Peter Kazinski (Tomsk State University)

Description

Nowadays the Baier-Katkov (BK) semiclassical method [1] is a standard tool to describe radiation of plane wave photons by ultrarelativistic charged particles in external electromagnetic fields of a general form. The BK method is realized in several computer codes [2,3] and proved to be very successful. We use this method to derive the radiation probability of one twisted photon [4] by an ultrarelativistic charged particle with account for the quantum recoil. In the case of negligible quantum recoil, the obtained general formula reduces to the one derived in [5].

The derived formula is used to describe the radiation of twisted photons by charged particles in undulators and laser waves. The explicit formulas for the probability to record a twisted photon are obtained in these cases. The manifestation of the blossoming out rose effect [6] in the nonlinear Compton process in a strong laser wave with circular polarization and in the wiggler radiation is revealed. Several examples are studied: the radiation of MeV twisted photons by 180 GeV electrons in the wiggler; the radiation of twisted photons by 256 MeV electrons in strong electromagnetic waves produced by the CO2 and Ti:Sa lasers; and the radiation of MeV twisted photons by 51.1 MeV electrons in the electromagnetic wave generated by the FEL with photon energy 1 keV.

References
1. V.N. Baier, V.M. Katkov, Zh. Eksp. Teor. Fiz. 55 (1968) 1542.
2. L. Bandiera, E. Bagli, V. Guidi, V.V. Tikhomirov, Nucl. Instrum. Methods B 355 (2015) 44.
3. T.N. Wistisen, A. Di Piazza, H.V. Knudsen, U.I. Uggerhoj, Nat. Commun. 9 (2018) 795.
4. U.D. Jentschura, V.G. Serbo, Phys. Rev. Lett. 106 (2011) 013001.
5. O.V. Bogdanov, P.O. Kazinski, G.Yu. Lazarenko, Phys. Rev. A 97 (2018) 033837.
6. V.G. Bagrov et al., Synchrotron Radiation Theory and its Development (World Scientific, Singapore, 1999).

Authors

Oleg Bogdanov (Tomsk Polytechnic University) Peter Kazinski (Tomsk State University) Dr Georgy Lazarenko (Tomsk State University)

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