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37Complex Systems of Charged Particles and their Interactions with Electromagnetic Radiation 2019
ASYMPTOTIC THEORY OF THE PONDEROMOTIVE DYNAMICS OFAN ELECTRON DRIVENBY A RELATIVISTICALLY INTENSE FOCUSED
ELECTROMAGNETIC ENVELOPE
O.B. Shiryaev1,2
1Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow, Russia, Pirogov Russian National Medical Research University, Moscow, Russia,
A formalism for describing relativistic ponderomotive effects, which occur in the dynamics of an electron driven by a focused relativisticaly intense optical envelope, is established on the basis of a rigorous asymptotic expansion of the Newton and Maxwell equations in a small parameter proportional to the ratio of radiation wavelength to beam waist. The optical field theory includes high-order corrections to the longitudinal and transverse components of the vector potential [1-3].The pertinent ground-state and first order solutions are generated as functions of the electron proper time with the help of the Krylov-Bogolyubov technique, the equations for the phase-averaged components of the ground state arising from the condition that the first-order solutions sustain non-secular behaviour. In the case of the scattering of a sparse electron ensemble by a relativistically intense laser pulse with an axially symmetric transverse distribution of amplitude, the resulting ponderomotive model further affords averaging over the random initial directions of the electron momenta and predicts axially symmetric electron scatter. Diagrams of the electron scatter directionality relative to the optical field propagation axis and energy spectra within selected angles are calculated from the compact ponderomotive model. The hot part of the scatter obeys a clear energy-angle dependence stemming from the adiabatic invariance inherent in the model, with smaller energies allocated to greater angular deviations from the field propagation axis, while the noise-level cold part of the scatter tends to spread almost uniformly over a wide range of angles. The allowed energy diapasons within specific angular ranges are only partially covered by the actual high-energy electron scatter [4].
The author acknowledges the partial support for this study contributed by the Extreme Optical Fields and their Interactions with Matter Program #6 of the Presidium of the Russian Academy of Science (Project 4.6 #).
References
[1] B. Quesnel, P. Mora, Phys. Rev. E58, 3719 (1998)
[2] V P. Milant'ev, S.P. Karnilovich, Ya.N. Shaar, Quantum Electronics 45(11) 1063 (2015)
[3] O.B. Shiryaev, Laser and Particle Beams 35, 64 (2017)
[4] O.B. Shiryaev, arXiv:1901.02335v3 [physics.plasm-ph]
