Self-consistent plasma boundary distortions during the interaction of a normally incident electromagnetic beam with a nonlinear surface charge

Exciting of Strong Electrostatic Fields and Electromagnetic Resonators at the Plasma Boundary by a Power Electromagnetic Beam

“…It also enabled us to understand how many electrons wereforced out of the cavern formed by the electromagnetic beam incident on the plasma. Along the polar radius ρ, the amplitude of E 0 changedsmoothly, and when the density of n e reachedthe critical value of n c , that is ω = ω p (ω p 2 = e 2 n e /(m•ε 0 )), the plasma becameopaque to this wave field, as a result of which it droppedexponentially rapidly into the dense plasma, the density of which, in turn, increasedas rapidly, according to (9). At this increase in density on the surface (x = x b , ρ = ρ b ), thermal pressure v T 2 dominated one side, and on the other, electromagnetic, characterized by v E 2 , which in a stationary state wouldbalance each other.…”

“…The electrostatic field of the surface charge that arosein the process of interaction of the electromagnetic radiation beam with the plasma appearedand affectedthe environment due to the specific movement of electrons [3,[9][10][11] and the complex of conditions that supported its existence (e.g., sharp boundary, quasi-neutrality, absence of non-harmonic perturbations, etc.). The power law of the decrease inthis field in space for a distance from the boundary and from the axis of the electromagnetic beam determinedthe large size of the region of its localization.…”

“…where φe(r) is the electrostatic potential of the surface charge formed at the plasma boundary [9][10][11], and E0r is the amplitude of the reflected electromagnetic signal. The motion of electrons with the velocity v is described by the equation:…”

“…In the case when the force effect of the electromagnetic beam wassmall, as compared to the pressure of electrons, the surface of the plasma remainedflat when interacting with the radiation. However, as shown in [9][10][11], it formeda nonlinear surface charge associated with the electrostatic field ϕ e (r), which hada large localization region near the plasma boundary and couldaccelerate charged particles [12][13][14]. The description of this surface charge, performed in [9][10][11], was based on the theory of the potential [8,15], which could express the value of the potential ϕ e (r) throughout space viaits value on the surface of the plasma:…”

“…In the latter case, a situation is possible when such a cylinder crosses the entire thickness of the plasma layer so that the radiation can pass through this layer of dense plasma into a region where it could not penetrate at low values of its intensity. At the same time, for small amplitudes of the electromagnetic signal, when the plasma boundary remains flat, a nonlinear surface charge couldbe formed on it under certain conditions [9], which createdan electrostatic field outside the plasma with a large localization region, when its amplitude decreasedwith a distance from the boundary and the center of the beam according to the power law, in contrast to the strength of the electromagnetic wave field. The possibilities of such a field may arouse interest, both from the point of view of the practical application (for example, for particle acceleration) and from the standpoint of the probable need to prevent undesirable effects.…”