Stimulated Brillouin Scattering of Gaussian Laser Beam in Relativistic Plasma

This paper presents an investigation of stimulated Brillouin scattering (SBS) of Gaussian laser beam in relativistic plasma. The pump beam interacts with a pre-excited ion-acoustic wave thereby generating a back-scattered wave. In the high intensity laser beam, electron oscillatory velocity becomes comparable to the velocity of light, which modifies the refractive index of plasma due to increase in the electron mass. This modification of refractive index affects the incident laser beam, ion-acoustic wave and back scattered beam. We have set up non-linear differential equations for the beam width parameters of the main beam, ion-acoustic wave, back-scattered wave and derived expression of SBS-reflectivity by taking full non-linear part of the dielectric constant of relativistic plasma with the help of moment theory approach. It is observed from the analysis that focusing of waves greatly affects the SBS reflectivity.     

A simulation study of protons heated by left/right-handed Alfvén waves generated by electromagnetic proton-proton instability

Most protons in the solar wind belong to one of two different populations,the less dense beam protons and the denser core protons.The beam protons,with a velocity of(1-2)VA(VA is the local Alfvén speed),always drift relative to the core protons;this kind of distribution is unstable and stimulates several kinds of wave mode.In this study,using a 2D hybrid simulation model,we find that the original right-handed elliptically polarized Alfvén waves become linearly polarized,and eventually become right-handed and circularly polarized.Given that linearly polarized waves are a superposition of left-handed and right-handed waves,cyclotron resonance in the right-handed/left-handed component heats beam/core protons perpendicularly.The resonance between beam protons and right-handed polarized waves is stronger when the beam relative density is lower,resulting in more dramatic perpendicular heating of beam protons,whereas the situation is reversed when the beam relative density is larger.     

Characterization of heat transport dynamics in laser-produced plasmas using collective Thomson scattering: Simulation and proposed experiment

We propose an experiment in which the collective Thomson scattering lineshape obtained from ion acoustic waves is used to infer the spatial structure of local heat transport parameters and collisionality in a laser-produced plasma. The peak-height asymmetry in the ion acoustic wave spectrum will be used in conjunction with a recently developed model describing the effects of collisional and Landau damping contributions on the low-frequency electron density fluctuation spectrum to extract the relative electron drift velocity. This drift arises from temperature gradients in the plasma. The local heat flux, which is proportional to the drift, can then be estimated, and the electron thermal conductivity will be inferred from the relationship between the calculated heat flux and the experimentally determined temperature gradient. Damping of the entropy wave component at zero mode frequency is shown to be an estimate of the ion thermal conductivity, and its visibility is a direct measure of the ion-ion mean free path. We also propose to measure thermal transport parameters under dynamic conditions in which the plasma is heated impulsively by a laser beam on a fast (50 ps) time scale. This technique will enable us to study heat transport in the presence of the large temperature gradients that are generated by this local heating mechanism. Deviations of the inferred local thermal conductivity from its Spitzer-Härm value can be used to study the transition to a nonlocal heat transport regime. We have constructed a simple numerical model of this proposed experiment and present the results of a simulation.This work was performed under the auspices of the U.S. Department of Energy by Sandia National Laboratories under Contract DE-AC04-94AL85000 and by Lawrence Livermore National Laboratory under Contract W-7405-ENG-48.     

Occurrence of ionization instability associated with plasma bubble in glow discharge magnetized plasma

Floating potential fluctuations of glow discharge magnetized plasma are found to expose mixed mode oscillations(MMOs) in the existence of plasma bubble. Plasma bubble has been formed by emerging density gradient in the form of a sheath around a cylindrical and spherical grid to a critical value of applied potential. Two Langmuir probes, LP_1 and LP_2, are retained in the ambient plasma to collect the plasma floating potential fluctuations at two different locations of the plasma system. The perceived instability pattern shows regular-irregular-regular MMOs under various imposed conditions. Furthermore, various nonlinear techniques such as phase space plot, recurrence plot and Hurst exponent have been executed to understand the underlying dynamical behavior of the system. Low-frequency(~200–1200 Hz) oscillations are also supposed and are inferred as ion-acoustic waves excited by ionization instability. The observed results are then validated with the theory of the instability based on a fluid hydrodynamic approach.     

Self-Focusing of Elliptical Laser Beam in Collisional Plasma and Its Effect on Stimulated Brillouin Scattering Process

This paper presents an investigation of self-focusing of elliptical laser beam in a collisional plasma and its effect on stimulated Brillouin scattering (SBS) process. The non-linearity arising through non-uniform heating leads to redistribution of carriers, which modifies the background plasma density profile in a direction transverse to pump beam axis. This modification affects the incident laser beam, ion-acoustic wave and back scattered beam. Non-linear differential equations for the beam width parameters of the pump laser beam, ion-acoustic wave and back scattered beam are set up and solved numerically. It is observed from the analysis that the focusing of waves greatly enhances the SBS back-reflectivity.     

Mean Atomic Velocities of Uranium,Titanium and Copper during Electron Beam Evaporation

Mean atomic velocities of uranium, titanium and copper during electron beam evaporation of the metal were measured by a microbalance technique as a function of evaporating metal surface temperature. In the measured temperature range, the mean velocity of uranium was up to 2.1 times the thermal mean velocity vth, corresponding to the surface temperature of the evaporating metal. Mean velocities of titanium and copper increased to 1.6 and 1.3 times vth, respectively. This meant that mean velocities of uranium and titanium exceeded the maximum flow speed of an ideal gas in adiabatic expansion, i.e. 1.4 times vth, while the mean velocity of copper was almost equal to it. The electronic states of uranium and titanium were thermally excited to higher levels, then such excited energy should be converted to kinetic energy during adiabatic expansion. However, copper was rarely excited to higher levels because of the their fewer number. As a result, mean velocities of uranium and titanium were faster than the maximum flow speed of ideal gas.     

Field Distribution in a Centrally Loaded Circular Cylindrical Cavity

To accelerate protons in an Alvarez type linear accelerator or electrons in velocity modulated tubes, the cavity must be excited in the dominant TM010 mode. For proper understanding of beam dynamics and for purposes of design, the r.f. fields must be computed accurately for any specified dimensions of the drift space. In this paper the exact numerical solution for the fields in a drift tube loaded linear accelerator cavity with a beam guiding hole is presented. The eigenvalues, field distribution, transit time factor and the shunt impedance are formulated everywhere by boundary value techniques in the same manner as proposed by Bolle and Gluckstern in the absence of the beam guiding hole. The numerical results are obtained with the aid of a digital computer and are established by an excellent agreement with an experiment based on perturbation techniques.     

High Heat Flux Testing of B4C／Cu and SiC／Cu Functionally Graded Materials Simulated by Laser and Electron Beam

B4C，SiC and C,Cu functionally graded-materials(FGMs) have been developed by plasma spraying and hot pressing.Their high-heat flux properties have been investigated by high energy laser and electron beam for the simulation of plasma disruption process of the future fusion reactors.And a study on eroded products of B4C/Cu FGM under transient thermal load of electon beam was performed.In the experiment SEM and EDS analysis indicated that B4C and SiC were decomposed.Carbon was preferentially evaporated under high thermal load,and a part of Si and Cu were melted,in addition,the splash of melted metal and the particle emission of brittle destruction were also found.Fifferent erosive behaviors of carbon-based materials(CBMs)caused by laser and electron beam were also discussed.     

Investigations on the time evolution of the plasma density in argon electron-beam plasma at intermediate pressure

The time evolution of the argon electron-beam plasma at intermediate pressure and low electron beam intensity was presented.By applying the amplitude modulation with the frequency of 20 Hz on the stable beam current,the plasma evolution was studied.A Faraday cup was used for the measurement of the electron beam current and a single electrostatic probe was used for the measurement of the ion current.Experimental results indicated that the ion current was in phase with the electron beam current in the pressure range from 200 Pa to 3000 Pa and in the beam current range lower than 20 mA,the residual density increased approximately linearly with the maximum density in the log-log plot and the fitting coefficient was irrelative to the pressure.And then three kinds of kinetic models were developed and the simulated results given by the kinetic model,without the consideration of the excited atoms,mostly approached to the experimental results.This indicated that the effect of the excited atoms on the plasma density can be ignored at intermediate pressure and low electron beam current intensity,which can greatly simplify the kinetic model.In the end,the decrease of the plasma density when the beam current was suddenly off was studied based on the simplified model and it was found that the decease characteristic at intermediate pressure was approximate to the one at high pressure at low electron beam intensity,which was in good accordance with the experimental results.     

Investigation of the ion acoustic effect during focused ion beam irradiation

Acoustic waves induced by an intensity modulated focused ion beam (FIB) have been measured. The experiments were performed with Ga⁺ ions of 35 keV at a current of 3 nA and variable chopping frequency up to 10 MHz. The acoustic signals were detected by means of a piezoelectric sensor with integrated pre-amplifier. A dependence on the sample material was found during line scan FIB motion. The results show that the ion-acoustic effect may be utilized for an alternative sample imaging and material analysis in FIB systems.     

Interaction of modulated heavy-current electron-pulse beams with plasma in a longitudinal magnetic field

Results of experiments on the interaction of modulated heavy-current electron-pulse beams with plasma in a longitudinal magnetic field are presented. The plasma is formed by the beam itself. It is shown that under certain conditions the modulated electron beam interacts much more strongly with the plasma than an unmodulated beam. Longitudinal waves with a considerably greater electric field strength (some seven times) than in the absence of initial modulation are excited in the beam and the plasma. An explanation of the results is offered.Translated from Atomnaya Énergiya, Vol. 18, No. 4, pp. 315–322, April, 1965     

Preliminary evaluation of beam dump for high current electron beam at JNC

A high current electron beam is required for transmuting fission products using gamma rays. Elemental technology for a linac that generates a high current beam in an efficient and stable manner is being developed at Japan Nuclear Cycle Development Institute (JNC). A beam dump for the high current, low energy electron beam (20 mA, 10 MeV) from this accelerator has been constructed and tested at JNC. A Ring and Disk (RD) structure was adopted to absorb the beam safely and to analyze the beam condition in real time. The thermal and stress analysis showed that a 200 kW electron beam could be securely stopped. The performance of the beam dump was evaluated using a beam of 7.0 MeV and an average current of 0.84 mA. The measured results showed that the electrons transported from the accelerator were completely absorbed. The temperature rise of the plates and the 1 cm dose equivalent rate of bremsstrahlung photons were consistent with the simulation data. In addition, the beam dump was found to be capable of monitoring the beam condition directly from the temperature distributions and peak current.     

On Amplification of Ion-Acoustic Mode in Burning Plasma in Presence of Drift Wave Turbulence

Generation of high frequency ion-acoustic wave in burning plasmas is investigated in presence of drift wave turbulence field. Drift wave turbulence is supported by plasma inhomogeneity of a burning plasma. This low frequency wave phenomenon is playing a crucial role in energy exchange process with alpha particles of fusion reactors. Frequency of ion-acoustic wave in burning plasma may be amplified when the accelerated plasma particles transfer their energy to ion-acoustic wave nonlinearly through a modulated field. Considering an ion distribution function for inhomogeneous plasma, we have evaluated fluctuating parts of distribution function due to drift wave turbulence using Vlasov equation. We have also obtained nonlinear fluctuating parts of ion distribution function due to modulated wave as well as nonlinear ion-acoustic wave. We have estimated the growth rate of ion-acoustic wave using nonlinear dispersion relation for ion-acoustic wave.     

Investigation of the fast magnetosonic wave excited by the Alfvén wave phase mixing by using the Hall–MHD model in inhomogeneous plasma

The inhomogeneity is introduced by a nonzero density gradient which separates the plasma into two different regions where plasma density are constant. The Alfvén waves, the phase mixing and the fast magnetosonic wave are excited by the boundary condition in inhomogeneous magnetized plasma. By using the Hall–magnetohydrodynamics(MHD) model, it is found that there are Alfvén waves in the homogeneous regions, while the phase mixing appears in the inhomogeneous region. The interesting result is that a fast magnetosonic wave is excited in a different direction which has a nonzero angle between the wave propagation direction and the direction of the background magnetic field. The dependence of the propagation direction of the excited fast magnetosonic wave and its strength of the magnetic field on the plasma parameters are given numerically. The results show that increasing both the driving frequency and the ratio of magnetic pressure to thermal pressure will increase the acceleration of the electrons. The electron acceleration also depends on the inhomogeneity parameters.     

EicC束团缺失时的束束效应研究

EicC（the highly polarized electronion collider in China）是由中国科学院近代物理研究所提出的极化电子-离子对撞机装置。在电子-质子对撞模式中,EicC的电子环（eRing）内有256个电子束团,质子环（pRing）内有448个质子束团。由于两个环内的束团数不同,当束流中的束团出现缺失时,束团缺失带来的影响会通过束束相互作用传递给多个电子与质子束团,进而可能会使束流不稳定。为研究束团缺失对束流稳定性的影响,本文使用束束相互作用模拟程序AthenaGPU进行了自洽的模拟研究。模拟结果显示,缺失电子束团不会使束流出现相干不稳定,但缺失一定数目的质子束团时会引起偶极或四极不稳定,且使对撞亮度迅速衰减。调节名义工作点后可使束流避开共振区,不再出现偶极或四极不稳定。     

High energy electron beam generation during interaction of a laser accelerated proton beam with a gas-discharge plasma

The study of the interaction between ion beam and plasma is very important to the areas of inertial fusion energy and high energy density physics. With detailed one-dimensional electromagnetic particle-in-cell simulations, we investigate here the interaction of a laser-accelerated proton beam assuming an ideal monoenergetic beam with a gas-discharge plasma. After the saturation stage of the two-stream instability excited by the proton beam, significant high energy electrons are observed, with maximum energy approaching 2 MeV, and a new two-stream instability occurs between the high energy electrons and background electrons. The trajectories of plasma electrons are studied, showing the process of electron trapping and de-trapping from the wakefield.     

Nonlinear Propagation of Ion-Acoustic Shock waves in Dissipative Electron–Positron–Ion Plasmas with Superthermal Electrons and Relativistic Ions

A weakly nonlinear analysis is carried out to derive the appropriate Korteweg–de Vries–Burgers-like equation for small, but finite amplitude, ion-acoustic waves in a dissipative plasma consisting of relativistic ions, Maxwell–Boltzmann distributed positrons and superthermal electrons. Our results show that in a such plasma, ion-acoustic shock waves, the spatial patterns of which are significantly modified by the relativistic and dissipative effects, may exist. Interestingly, we found that because of ion kinematic viscosity, an initial solitonic profile develops into a shock wave. This later evolves towards a monotonic profile (dissipation–dominant case) as the electrons deviate from their thermodynamic equilibrium. As the relativistic character of the plasma becomes important, the shock wave amplitude decreases. Our investigation may be taken as a prerequisite for the understanding of the shock-waves observed in the ionosphere and the auroral acceleration regions. We recall that when a high energy cosmic ray interacts with the earth’s atmosphere, it may produce an electron–positron pair with enormous velocities. The data obtained during the Alpha Magnetic Spectrometer (AMS) flight permitting to probe the radiation belts in the Earth’s innermost magnetosphere provided an evidence of the presence of positrons.     

The effect of forced oscillations on the kinetics of wave drift in an inhomogeneous plasma

The kinetics is analyzed of the drift of non-potential plasma waves in spatial positions and wavevectors due to plasma's spatial inhomogeneity. The analysis is based on highly informative kinetic scenarios of the drift of electromagnetic waves in a cold ionized plasma in the absence of a magnetic field (Erofeev 2015 Phys. Plasmas 22 092302) and the drift of long Langmuir waves in a cold magnetized plasma (Erofeev 2019 J. Plasma Phys. 85 905850104). It is shown that the traditional concept of the wave kinetic equation does not account for the effects of the forced plasma oscillations that are excited when the waves propagate in an inhomogeneous plasma. Terms are highlighted that account for these oscillations in the kinetic equations of the above-mentioned highly informative wave drift scenarios.     

Cyclotron instability in ogra

Conclusions The experimental results reported here indicate that a cyclotron instability can and does develop in Ogra. Furthermore, at the present time, as far as we know there is no other possible explanation for the anomalous magnitude and the dependence of electric field (at the cyclotron frequency) on plasma density observed experimentally. The presence of density waves with different phase velocities can cause electron heating and electron loss. In this regard, the fact that the electrons can interact with the electric waves seems to be indicated by experiments with an electron beam carried out by Yu. A. Kucheryaev and D. A. Panov [9]; these experiments indicate that an electron beam passing through a plasma along the magnetic field loses or gains energy by virtue of interaction with waves at the cyclotron frequencies corresponding to H ₂ ⁺ and H ₁ ⁺ ions.On the one hand, the effect of the cyclotron instability can cause ions to form bunches as a result of nonlinear effects, and these can lead to a more effective interaction, with the dissipation and exchange of energy. On the other hand, the existence of electric fields perpendicular to the magnetic field can cause ion drift across the magnetic field when the phase velocity of these waves is approximately equal to the ion velocity. As is evident from the table, this situation can arise in certain modes of operation. For a more detailed explanation of the effect of the cyclotron instability on ion loss and electron loss, it will be necessary to carry out further investigations. The author wishes to take this opportunity to thank I. N. Golovin for his continued interest in this work and for a number of valuable comments offered in discussions of the experimental results. E. P. Velikhov for help in carrying out the calculations, and A. N. Karkhov and V. F. Nefedov for help in carrying out the measurements with Ogra. Fruitful discussions of the experiments and the results of the calculations with colleagues working with Ogra were very helpful in determining the physical pattern of these effects.Translated from Atomnaya Énergiya, Vol. 14, No. 1, pp. 72–81, January, 1963     

Dynamic characteristics of charging effects on the dielectric constant due to E-beam irradiation: a numerical simulation

A series of synthetic variations of material intrinsic properties always come with charging phenomena due to electron beam irradiation.The effects of charging on the dielectric constant will influence the charging dynamic in return.In this paper,we propose a numerical simulation for investigating the dynamic characteristics of charging effects on the dielectric constant due to electron beam irradiation.The scattering process between electrons and atoms is calculated considering elastic and inelastic collisions via the Rutherford model and the fast secondary electron model,respectively.Internal charge drift due to E-field,density gradient caused diffusion,charges trap by material defect,free electron and hole neutralization,and variation in the internal dielectric constant are considered when simulating the transport process.The dynamics of electron and hole distributions and charging states are demonstrated during E-beam irradiation.As a function of material nonlinear susceptibility and primary energy,the dynamics of charging states and dielectric constants are then presented in the charging process.It is found that the variation in the internal dielectric constant is more with respect to the depth and irradiation time.Material with a larger nonlinear susceptibility corresponds a faster charging enhancement.In addition,the effective dielectric constant and the surface potential have a linear relationship in the charging balance.Nevertheless,with shrinking charging affect range,the situation with a higher energy primary electron comes with less dielectric constant variation.The proposed numerical simulation mode of the charging process and the results presented in this study offer a comprehensive insight into the complicated charging phenomena in electron irradiation related fields.