Modified Baier-Katkov Method for Twisted Photon Radiation

Sep 17, 2019, 12:30 PM
Oral General radiation properties from relativistic particles General Properties of Radiation from Relativistic Particles


Peter Kazinski (Tomsk State University)


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.

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).

Primary authors

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

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