Solitary Right Hand Polarized Electromagnetic Wavein Relativistic Plasma

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Abstract


In this paper of the nonlinear laser wave propagation in the hot plasma along the strong exter-nal magnetic field under the electron cyclotron resonance conditions is investigated. The strongnonlinearity of such a process is caused by the relativistic electron movement and resonancewave ponderomotive force acting on the electrons. The system of equations for the enveloperight hand polarized laser pulse is derived using the hydrodynamics and Maxwell’s equations.The numerical integration of this system for the cold plasma case discovered the soliton solu-tions. This kind of solutions take a form of the envelope solitons containing inside them the plasma oscillations. The analytical expression for the energy density integral in a cold plasma isderived. It follows from the numerical results that for a hot plasma under cyclotron resonanceconditions the soliton solution becomes unstable. In this case the energy density conservationbreaks down, but electron momentum density conserves. It is concluded that the nonlinear sat-uration of the field amplitude is due to the plasma charge separation under electromagneticradiation pressure. In this case the discrete set of the envelope soliton carrier frequency is de-termined by the ratio of the frequency of the nonlinear longitudinal electron oscillations to theLangmuir frequency of plasma. For the low density plasma the discrete frequency spectrumobtained by the numerical integration transforms to the continuous one.


V G Dorofeenko

Principal contact for editorial correspondence.
dorofeen@gmail.com
Department of Kinetic Equations Keldysh Institute of Applied Mathematics, Russian Academy of Sciences 4 Miusskaya pl., Moscow, 125047, Russian Federation

Dorofeenko V. G. - professor, Candidate of Physical and Mathematical Sciences, senior researcher of Department of Kinetic Equations of Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

V B Krasovitskiy

krasovit@mail.ru
Department of Kinetic Equations Keldysh Institute of Applied Mathematics, Russian Academy of Sciences 4 Miusskaya pl., Moscow, 125047, Russian Federation

Krasovitskiy V. B. - professor, Doctor of Physical and Mathematical Sciences, expert of Department of Kinetic Equations of Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

V A Turikov

turikov_va@rudn.university
Department of Applied Physics Peoples’ Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation

Turikov V. A. - Candidate of Physical and Mathematical Sciences, assistant professor of Department of Applied Physics of Peoples’ Friendship University of Russia (RUDN University)

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