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Accurate calculation of radiation damping parameters in the interaction between very intense laser beams and relativistic electron beams

Published online by Cambridge University Press:  24 July 2014

Alexandru Popa
Alexandru Popa*
Affiliation:
National Institute for Laser, Plasma and Radiation Physics, Laser Department, Bucharest, Romania
*
Address correspondence and reprint requests to: Alexandru Popa, National Institute for Laser, Plasma and Radiation Physics, Laser Department, P.O. Box MG-36, Bucharest, Romania077125. E-mail: ampopa@rdslink.ro
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Abstract

We prove that the radiation damping force and the rate of change of the damping energy, in the Landau-Lifshitz forms, in interactions between very intense laser beams and relativistic electron beams, are periodic functions of only one variable, that is the phase of the electromagnetic field. The property is proved without using any approximation, in the most general case, when the degree of polarization of the electromagnetic field, the initial phase of the incident field and the initial energy of the electron have arbitrary values. This property leads to a strong simplification of the calculation of the radiation reaction parameters and of their dependence on the initial electron energy and angular frequency of the laser beam. Our analysis is performed in the proper inertial system of the electron. The radiation reaction is significant for laser beam intensities of the order 1022 W/cm2, and for electron energy greater than 1 GeV. The calculations reveal limitations of the method of generating hard radiations by interactions between laser beams and relativistic electron beams.

Keywords

Electron beamsLaser beamsRadiation reactionRelativistic electrodynamics
Type
Research Article
Information
Laser and Particle Beams , Volume 32 , Issue 3 , September 2014 , pp. 477 - 486
Copyright
Copyright © Cambridge University Press 2014 

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References

Abraham, M. (1932). The Classical Theory of Electricity and Magnetism. London: Blackie.Google Scholar
Bamber, C., et al. (1999). Studies of nonlinear QED in collisions of 46.6 GeV electrons with intense laser pulses. Phys. Rev. D 60, 092004.CrossRefGoogle Scholar
Boca, M. & Florescu, V. (2009). Nonlinear Compton scattering with a laser pulse. Phys. Rev. A 80, 053403.CrossRefGoogle Scholar
Bulanov, S.V., Esirkepov, T.Z., Kando, M., Koga, J.K. & Bulanov, S.S. (2011). Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions). Phys.Rev. E 84, 056605.CrossRefGoogle ScholarPubMed
Crawford, F.S. (1999). Waves, Berkeley Physics Course, Vol. 3. New York: John Wiley.Google Scholar
Deng, A., Nakajima, K., Zhang, X., Lu, H., Shen, B., Liu, J., Li, R. & Xu, Z. (2012). Betatron radiation damping in laser plasma acceleration. Laser Part. Beams 30, 281–289.CrossRefGoogle Scholar
Dirac, P.A.M. (1938). Classical theory of radiating electrons. Proc. Roy. Soc. A 167, 148–169.Google Scholar
Eden, J.G. (2004). High-order harmonic generation and other intense optical field matter interactions: review of recent experimental and theoretical advances. Prog. Quan. Elect. 28, 197–246.CrossRefGoogle Scholar
Esarey, E. Esarey, Ride, S.K. & Sprangle, P. (1993). Nonlinear Thomson scattering of intense laser pulses from beams and plasmas. Phys. Rev. E 48, 3003–3021.CrossRefGoogle ScholarPubMed
Faure, J., Rechatin, C., Norlin, A., Lifschitz, A., Glinek, Y. & Malka, V. (2006). Controlled injection and acceleration of electrons in plasma wakefields by colliding laser pulses. Nature 444, 737–739.CrossRefGoogle ScholarPubMed
Hadad, Y., Labun, L., Rafelski, J., Elkina, N., Klier, C. & Ruhl, H. (2010). Effects of radiation reaction in relativistic laser acceleration. Phys. Rev. D 82, 096012.CrossRefGoogle Scholar
Harteman, F.V. & Luhmann, N.C. (1995). Classical electrodynamical derivation of the radiation damping force. Phys. Rev. Lett. 74, 1107–1110.CrossRefGoogle Scholar
Hoehn, L. & Niven, I. (1985). Averages on the Move. Math. Mag. 58, 151–156.CrossRefGoogle Scholar
Jackson, J.D. (1999). Classical Electrodynamics. New York: Wiley.Google Scholar
Landau, L.D. & Lifshitz, E.M. (1987). The Classical Theory of Fields, Fourth Edition. Amsterdam: Butterworth, Heinemann.Google Scholar
Lorentz, H.A. (1916). The Theory of Electrons and its Applications to the Phenomena of Light and Radiant Heat. New York: Stechert.Google Scholar
Mao, Q.Q., Kong, Q., Ho, Y.K., Che, H.O., Ban, H.Y., Gu, Y.J. & Kawata, S. (2010). Radiative reaction effect on electron dynamics in an ultra intense laser field. Laser Part. Beams 28, 83–90.CrossRefGoogle Scholar
Mourou, G.A., Tajima, T. & Bulanov, S.V. (2006). Optics in the relativistic regime. Rev. Mod. Phys. 78, 309–371.CrossRefGoogle Scholar
Popa, A. (2011). Periodicity property of relativistic Thomson scattering, with application to exact calculation of angular and spectral distributions of scattered field. Phys. Rev. A 84, 023824.CrossRefGoogle Scholar
Popa, A. (2012). Polarization effects in collisions between very intense laser beams and relativistic electrons. Laser Part. Beams 30, 591–603.CrossRefGoogle Scholar
Popa, A. (2013). Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems. Amsterdam: Elsevier-Academic Press.Google Scholar
Popa, A. (2013). Applications of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems. Amsterdam: Elsevier-Academic Press.Google Scholar
Sarachik, E.S. & Schappert, G.T. (1970). Classical theory of the scattering of intense laser radiation by free electrons. Phys. Rev. D 1, 2738–2753.CrossRefGoogle Scholar
Thomas, A.G.R., Ridgers, P., Bulanov, S.S., Griffin, B.J. & Mangles, S.P.D. (2012). Strong radiation-damping effects in a gamma-ray source generated by the interaction of a high-intensity laser with a wakefield-accelerated electron beam. Phys. Rev. X 2, 041004.Google Scholar
Thomson, J.J. (1881). Electric and magnetic effects produced by motion of electrified bodies. Phil. Mag. 11, 227–246.CrossRefGoogle Scholar
Zhidkov, A., Koga, J., Sasaki, A. & Uesaka, M. (2002). Radiation damping effects on the interaction of ultraintense laser pulses with an overdense plasma. Phys. Rev. Lett. 188, 185002.Google Scholar
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