We describe the theory of a superluminescent single-pass free electron laser based on the Bogolyubov chain of equations for multiparticle distribution functions. Special choice of the variables eliminates the retardation of interaction. A small parameter (inverse number of particles per signal growth length in the accompanying reference system) for the chain truncation is found. Expansion over this parameter makes it possible to neglect three-particle correlation functions and solve only the equations containing a single-particle distribution function and two-particle correlation functions. The calculation results are in good agreement with the conclusions based on the previously developed quasilinear theory.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. Vinokurov, Rev. Accel. Sci. Technol., 3, No. 1, 77 (2010).
C. Pellegrini, A. Marinelli, and S. Reiche, Rev. Mod. Phys., 88, No. 1, 015006 (2016).
V. L. Ginzburg, Izv. Akad. Nauk SSSR, Ser. Fiz., 11, No. 2, 165 (1947).
H. Motz, J. Appl. Phys., 22, No. 5, 527 (1951).
N. A. Vinokurov and E.B. Levichev, Phys. Usp., 58, No. 9, 850 (2015).
R. J. Dejus, O.A. Shevchenko, and N.A. Vinokurov, Nucl. Instruments Methods Phys. Res. Sect. A. Accel. Spectrometers, 429, No. 1, 225 (1999).
S. Reiche, Nucl. Instrum. Methods Phys. Res. Sect. A. Accel. Spectrometers, 429, No. 1, 243 (1999).
W. M. Fawley, Phys. Rev. Spec. Top. Accel. Beams, 5, No. 7, 070701 (2002).
E. L. Saldin, E.A. Schneidmiller, and M.V. Yurkov, Nucl. Instrum. Methods Phys. Res. Sect. A. Accel. Spectrometers, 407, No. 1, 285 (1998).
O.A. Shevchenko and N.A. Vinokurov, Nucl. Instruments Methods Phys. Res. Sect. A. Accel. Spectrometers. 507, No. 1, 84 (2003).
Y. L. Klimontovich, Kinetic Theory of Electromagnetic Processes, Springer-Verlag, Berlin (1983).
O.A. Shevchenko, “ Theory and calculation of the physical processes in the free-electron lasers with an irregular magnetic system,” Ph.D. Thesis (phys. & math.), Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences (2005) [in Russian].
A.D. Myshkis, Linear Differential Equations with Delayed Argument [in Russian], Gostekhizdat (1951).
P. A. M. Dirac, Rev. Mod. Phys., 21, No. 3, 392 (1949).
L.D. Landau and E. M. Lifshitz, The Course of Theoretical Physics, Vol. 2, Pergamon Press (1971).
L. I. Mandelstam, Lectures in Optics, Relativity Theory, and Quantum Mechanics [in Russian], Nauka, Moscow (1972).
G. B. Malykin, Phys. Usp., 52, No. 3, 263 (2009).
N. N. Bogoliubov, Problems of Dynamic Theory in Statistical Physics, Tech. Inf. Service, Oak Ridge (1960).
S. Ishimaru, Basic Principles of Plasma Physics, Benjamin, Reading, Mass. (1973).
W. Kleen and K. Pöschl, Introduction to Ultrahigh-Frequency Electronics, Part 2, Long-Interaction Tubes [tranlated from German], Sovetskoe Radio, Moscow (1963).
T. Shaftan and Z. Huang, Phys. Rev., 7, 080702 (2004).
O.A. Shevchenko and N.A. Vinokurov, Proc. FEL2009, Liverpool, UK, 23–28 August 2009, p.8.
O.A. Shevchenko and N.A. Vinokurov, Nucl. Instrum. Methods Phys. Res. Sect. A. Accel. Spectrometers, 603, No. 1, 46 (2009).
N.A. Vinokurov, Z. Huang, O. Shevchenko, and K.-J. Kim, Nucl. Instrum. Methods Phys. Res. Sect. A. Accel. Spectrometers, 475, No. 1, 74 (2001).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 60, No. 1, pp. 41–59, January 2017.
Rights and permissions
About this article
Cite this article
Shevchenko, O.A., Vinokurov, N.A. Application of the Two-Particle Correlation Function Approach to the Description of a Single-Pass Free Electron Laser Operated in SASE Mode. Radiophys Quantum El 60, 37–53 (2017). https://doi.org/10.1007/s11141-017-9775-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-017-9775-1