Abstract

The charged particles nonlinear dynamics in the field of a strong electromagnetic wave pulse of finite duration and certain form of the envelope, in the refractive medium with a constant and variable refraction indexes, is investigated by means of numerical integration of the classical relativistic equations of motion. The particle energy dependence on the pulse intensity manifests the nonlinear threshold phenomenon of a particle reflection and capture by actual laser pulses in dielectric-gaseous media that takes place for a plane electromagnetic wave in the induced Cherenkov process. Laser acceleration of the particles in the result of the reflection from the pulse envelope and in the capture regime with the variable refraction index along the pulse propagation direction is investigated.

Highlights

  • The problem of the creation of new types of ultrahigh energy accelerators of the charged particles, in particular, laser and plasma accelerators of the small sizes, is one of the most important problems in the modern physics of high energy and elementary particles, accelerators, plasmas, and lasers physics [1,2,3]

  • III we present the simulations for particle nonlinear dynamics with subsequent acceleration in gaseous medium, the refraction index of which continuously decreases along the wave propagation direction

  • Eq (8) there is a critical value of the wave intensity in a medium with a refraction index n > 1 above which the particlewave interaction dynamics results in the above-mentioned phenomenon of the particle reflection from the wave pulse

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Summary

INTRODUCTION

The problem of the creation of new types of ultrahigh energy accelerators of the charged particles, in particular, laser and plasma accelerators of the small sizes, is one of the most important problems in the modern physics of high energy and elementary particles, accelerators, plasmas, and lasers physics [1,2,3]. The nonlinear threshold phenomena of particle reflection or capture by a plane e.m. wave take place in the induced Compton [33] and undulator processes [34] as well, i.e., it is the feature of coherent radiation processes at which the effective interaction occurs with a slowed traveling wave propagating with the phase velocity less than light speed in vacuum. Via an indefinite vector potential of a wave pulse in plasma with the dispersion, they repeat the exact results for the particle reflection phenomenon, only instead of the slowed phase velocity they have a slowed group velocity

NONLINEAR DYNAMICS OF A CHARGED
PARTICLE ACCELERATION IN THE
CONCLUSION
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