Nonlinear longitudinal space charge oscillations in relativistic electron beams

In this Letter we study the evolution of an initial periodic modulation in the temporal profile of a relativistic electron beam under the effect of longitudinal space-charge forces. Linear theory predicts a periodic exchange of the modulation between the density and the energy profiles at the beam plasma frequency. For large enough initial modulations, wave breaking occurs after 1/2 period of plasma oscillation leading to the formation of short current spikes. We confirm this effect by direct measurements on a ps-modulated electron beam from an rf photoinjector. These results are useful for the generation of intense electron pulse trains for advanced accelerator applications.     

Low-frequency longitudinal oscillations in a plasma with a relativistic electron component

Ion-sound oscillations in a three-dimensional plasma with relativistic electron component are studied. It is established that in this case ion-sound oscillations can exist only at electron and ion temperatures much less than the rest mass of the ions. In particular, it is shown that for an electron-positron plasma at relativistic temperatures ion-sound is impossible. The problem of ion-sound excitation by a charged particle beam is considered. Corresponding increments in beam instability are calculated.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 24–27, December, 1985.     

Nonlinear scattering of longitudinal waves in a weakly turbulent relativistic plasma

Nonlinear scattering of Langmuir waves of small amplitude in an isotropic relativistic Maxwellian plasma is investigated. The coefficient of nonlinear scattering of waves in a relativistic plasma is calculated, and the weak relativistic and ultrarelativistic asymptotes of the expression obtained for this coefficient in the long-wave approximation are also found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 53–56, February, 1982.     

Damping of longitudinal plasma oscillations

Attenuation of electron oscillations in a fully ionized plasma is investigated by solving linearized kinetic equation without external fields. The general dispersion relation for longitudinal plasma oscillations is obtained using the BGK model. Damping due to electron ion collisions is obtained with a correction term. It is also observed that damping rate decreases ask increases, which is in agreement with McBride.     

Friedel oscillations in a relativistic quantum plasma

The linear responce of a two-component plasma to a static test charge is analyzed at large distances from the impurity. The electrons are considered relativistic and degenerate and the ions classical and non-relativistic. The results show that the electrons give the principal contribution to the response, which is long ranged and characterized by the Friedel oscillatory behavior.     

Nonlinear plasma resonance in inhomogeneous relativistic plasma

We present a theoretical study of relativistic electron plasma oscillations in the plasma resonance region based on the renormalization group symmetry method. A steady-state solution to equations describing the electron dynamics in the vicinity of the plasma resonance is found and spatial-temporal and spectral characteristics of the potential electric field are discussed.     

Relativisitic longitudinal non-Abelian oscillations in quark-antiquark plasma

We study the relativistic version of the non-Abelian, longitudinal wave in quark-antiquark plasma reported earlier by Bhat et al [Phys. Rev. D39, 649 (1989)]. We have also relaxed various approximations they made in their analysis. Both the quark and antiquark dynamics are taken in our analysis. The non-linearity arising from non-Abelian field as well as from plasma are included. Hence it is an exact longitudinal mode in relativistic quark-antiquark plasma, relevant to the study of quark gluon plasma. We find that earlier results are reproduced for non-relativistic and low amplitude oscillations, but are modified for relativistic or large amplitude waves. Further more, the above results are based on just four first-order equations for gauge invariant quantities derived from gauge covariant twelve first-order equations.     

Parametric excitation of Langmuir oscillations in a relativistic electron plasma

A systematic discussion is carried out of the parametric action of an external high-frequency field on a high-temperature plasma. The conditions for the onset of parametric resonance and the corresponding increments, as well as the frequency shift of the Langmuir oscillations under the action of a high-frequency field, are found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 58–61, May, 1982.     

Parametric excitation of relativistic plasma oscillations by strong electromagnetic waves

Parametric interaction of strong waves ($\text{?=}\text{eE}{}_{\mathrm{<mtext>o</mtext>}}\text{m}{}_{\mathrm{<mtext>e</mtext>}}\text{cω}{}_{\mathrm{<mtext>o</mtext>}}\text{～ 1}$) with a cold, two-fluid (ion and electron) plasma is studied in the limits of high frequency (ω_o?ω_Le) and resonance (ω_o ≈ ω_Le). Unstable oscillations of both electrons and ions are found in the resonance limit.     

Nonlinear Thomson scattering from relativistic laser plasma interaction

As an electron oscillates in an intense laser field, it acquires a highly nonlinear motion and emits X-ray radiation by nonlinear Thomson scattering. In this paper we present a numerical and experimental analysis of this radiation. We show that this radiative process becomes dominant at relativistic laser intensities (a0>1), for which the laser light scatters off MeV electrons accelerated in the plasma.     

Amplification of longitudinal plasma oscillations upon a decrease in plasma concentration

Amplification of plasma oscillations in a homogeneous plasma by reducing its concentration is considered. The frequency of plasma oscillations decreases upon a decrease in the plasma concentration, and the resonant velocity of the plasma electrons, which is equal to the wave phase velocity, also decreases. Due to this, the number of resonant electrons exponentially increases in the equilibrium plasma. Since the energy of plasma oscillations is mainly determined by the contribution of the resonant electrons, this energy also increases exponentially.