Method of the equivalent photons for modulated electron beam

  • Ilya D. Feranchuk Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus https://orcid.org/0000-0003-0476-8634
  • Oleg D. Skoromnik Ho Chi Minh City University of Education, 280 An Duong Vuong Street, 5 District, Ho Chi Minh City, Vietnam
  • Quang San Nguyen Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
DOI: https://doi.org/10.33581/2520-2243-2020-3-24-31

Abstract

It is shown in this work that electromagnetic self-field of the periodically density modulated electron bunch can be considered as the beam of the equivalent photons (pseudo-photons), collimated along the electron velocity. Pseudo-photon spectrum includes both the incoherent contribution being proportional to number of electrons in the bunch and the coherent part with the sharp maximum corresponding the modulation frequency. Method of the equivalent photons can be applied for description of the interaction between the electron bunch and a crystal that leads to generation of the coherent parametric X-ray radiation by the modulated bunches exited from the undulator of the X-ray free electron laser. It provides the possibility to obtain the X-ray pulses directed at the large angle to the electron velocity where intensity of the background radiation essentially decreased. It is defined the conditions when the spectral and angular distributions of the coherent pseudo-photons can be compared with the analogous values for the pulses of the X-ray laser.

Author Biographies

Ilya D. Feranchuk, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

doctor of science (physics and mathematics), full professor; professor at the department of theoretical physics and astrophysics, faculty of physics.

Oleg D. Skoromnik, Ho Chi Minh City University of Education, 280 An Duong Vuong Street, 5 District, Ho Chi Minh City, Vietnam

PhD (physics and mathematics); senior researcher at the group of computational physics.

Quang San Nguyen, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

postgraduate student at the department of theoretical physics and astrophysics, faculty of physics.

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Published
2020-10-07
Keywords: self-modulation of the electron bunch, coherent X-ray radiation from the X-ray free electron laser, parametric X-ray radiation
How to Cite
Feranchuk, I. D., Skoromnik, O. D., & Nguyen, Q. S. (2020). Method of the equivalent photons for modulated electron beam. Journal of the Belarusian State University. Physics, 3, 24-31. https://doi.org/10.33581/2520-2243-2020-3-24-31
Issue
No 3 (2020): Journal of the Belarusian State University. Physics
Section
Physics of Electromagnetic Phenomena

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