Theory of the cathode sheath in a vacuum arc

A previous theory of the plasma sheath transition starting from the charge exchange model for ion collisions is extended to account for ionization and recombination. It is applied to the quasi-neutral boundary layer (presheath) in front of the cathode sheath of a vacuum arc. An essential potential and density difference between the sheath edge and cathodic plasma ball is found. This difference is accounted for in a unified theory of the arc cathode based on G. Ecker's (1971) existence diagram method, which indicates possible areas of arc operation in the T_cj plane, where T_c is the spot temperature and j is the current density. A numerical evaluation for Cu gives the results which are qualitatively similar to Ecker's theory. The existence areas are quantitatively enlarged and shifted to lower current densities     

小型空心阴极等离子体电子枪实验

基于空心阴极效应和低压辉光放电原理,设计了一种小型空心阴极等离子体电子枪并进行了实验研究,在低气压下获得了稳定的空心阴极辉光放电,测量电子枪放电结果表明:在空心阴极中加入灯丝热子可明显降低放电气压;电子束电流的大小随放电电压增大而增大,受气体气压影响较小;在气压2Pa,放电电压10kV,脉宽4μs脉冲下放电,可得到脉宽为2μs,电流为600mA的电子束。     

Calculation of the electrode surface temperature in the cathode spot of normal glow discharge at atmospheric pressure

The system of equations relating the electrode surface temperature in the cathode spot of normal glow discharge at atmospheric pressure to the discharge cathode sheath parameters is formulated. An analytical expression for the cathode surface temperature in the spot has been obtained, and the parameters of the spot and discharge cathode sheath in helium have been calculated.     

Intense emission from a grid-stabilized plasma cathode

Intense emission from a grid-stabilized plasma cathode based on a glow discharge with an expanded anode area is studied. In the electrode system of the ion source, the potential difference between a large-mesh grid electrode (a hole diameter of 4–6 mm) and cathode and anode plasma reaches 200 V and the glow discharge current is up to 1 A. The current distribution over the electrodes of the plasma cathode is taken, and the dependences of the electron extraction efficiency and electron-emitting-plasma potential on the gas pressure and discharge parameters are obtained. A relationship between the geometric parameters of the grid, cathode plasma potential, and efficiency of electron extraction from the plasma is derived. It is shown that stable intense emission from the plasma cathode can be provided in wide ranges of gas pressure and discharge current by varying the geometry and mesh size of the plasma cathode grid. Discharge contraction in the grid plane at elevated gas pressures is explained. It is assumed that the emitting plasma becomes inhomogeneous due to variation in the thickness of near-electrode layers in the holes of the grid, which makes the distribution of the emission current from the plasma more nonuniform.     

Analytical calculation of cathode spot parameters on the electrode surface in arc discharge

The model of a heat transfer in the cathode spot on an electrode in the arc discharge is developed and analytical expressions for the spot radius and temperature as the functions of basic characteristics of the discharge and the electrode material are obtained. The dependence of the spot radius on the voltage drop of the cathodic discharge, which is consistent with results of numerical simulation, is calculated.     

Initial stage of discharge current growth in a triggered vacuum gap

The dynamics of light emission accompanying the initial stage of electric discharge in a substantially undervoltaged vacuum gap was studied with a knock-down model using high-speed photorecording. Voltage across the gap was maintained within the range of 0.5-5 kV, which corresponded to the minimum operating voltage of vacuum-triggered gaps. It was found that front layers of a plasma cloud near a cathode, formed by a firing pulse, scattered at a speed of (5-8)×10⁶ cm/s. During firing, a channel directed to the opposite electrode was formed from the plasma cloud near the cathode. It was found that the average switch-on delay time of the triggered vacuum gap is ~d(1+h/d) I_f^-α, where d is the interelectrode gap length, h is the trigger assembly penetration height, and I_f is the firing current     

Electrical discharge initiation and a macroscopic model forformative time lags

Formative times in electrical discharges in overvoltaged gaps are analyzed with a model having no spatial dependence and with simple assumptions about discharge channel temperature T and discharge voltage. The model treats the early temporal evolution of the discharge. Specifically, the dissipative voltage drop, V*, across the discharge is taken to be a step function of T. Thermal quasi-equilibrium is assumed in the discharge medium, and it is shown that d(In t_d)/_d(In &thetas;)=-1, i.e., &thetas;t_d=constant, where &thetas; is the fractional overvoltage and t_d is the formative time lag, in agreement with measured values of t_d for much of the experimentally explored range of &thetas;. Highly-time-resolved (~92 ps) experimental data are presented for the first 10 ns of electrical discharge initiation; these data suggest that the authors' model should provide a reasonable representation of t _d when t_d>10-100 ns     

Study of the rectangular hollow cathode discharge

The rectangular hollow cathode discharge is studied with respect to the applicability of similarity mechanisms analogously to other gas discharge types. Probe characteristics of the discharge are measured, the conditions of steady and continuous discharge glow in the cathode cavity are determined.     

Influence of the electrode dimensions on its surface temperature in the cathode spot of normal glow discharge

The temperature distribution in a cylindrical electrode with the glow discharge cathode spot on its end is calculated, and an equation for the electrode surface average temperature in the spot is obtained taking into account the influence of gas heating near the spot upon its size. It is shown that, for the electrode the length of which is equal to the radius, the difference of temperature values found from this equation and under the assumption of infinite electrode dimensions is small, whereas for an electrode with the length substantially differing from the radius it can be quite large.     

Pressure limits for the vacuum arc deposition technique

Observations of the cathodic copper plasma expansion at low pressures of He, Ar, and SF₆ showed that, for background gas mass densities of ρ_g=1 to 4×10^-4 kg/m ³ and higher, the plasma and gas are separated into two volumes. A shock wave acts as a boundary between the two volumes. The boundary attains a stationary position once its expansion velocity decreases to the velocity of sound in the background gas. This position corresponds to a distance R_c to the cathode that agrees with a snowplow expansion model, giving R_c ^βf=E_r, where f is a function of the arc current and background gas characteristics, E _r is the erosion rate of the cathode, and β varies between 2.1 and 2.5. The interaction model is based on kinetic energy exchanges between two gas-like volumes without other energy losses. A maximum pressure limit for vacuum arc deposition is set for ρ_g /I=2 to 9×10^-6 kg/m³ A     

A cw uv copper hollow cathode laser in the 260 nm region

A cw uv copper hollow cathode laser is described, which could be operated for a longer time duration with an output power of 7 mW in the 260 nm region. A double-cathode configuration with a protection for the mirrors from metal-vapour deposition is presented. Characteristics of the laser output power, the spontaneous emission, and the ion densities in the negative glow were measured as depending on the discharge current, the neon gas pressure, and the size of the cathode slit. The observed saturation of the laser output power at high discharge current (1 A/cm²) and the optimum slot size are discussed.     

Calculation of time dependence of the electrode surface temperature in the cathode spot of atmospheric pressure normal glow discharge

Non-stationary heat transfer in the volume of the electrode with the cathode spot of atmospheric pressure normal glow discharge on its surface is calculated in case the spot radius is much less than the electrode dimensions. A system of equations describing variation of the temperature in the spot and the discharge cathode sheath parameters after discharge ignition is formulated, and the time dependence of the electrode temperature in the spot for discharge in helium is found. It is shown that within a short time fast heating of the electrode surface in the spot proceeds and then its temperature is slowly approaching the equilibrium value.     

Vacuum arc cathode spot grouping and motion in magnetic fields

Two of the important vacuum arc phenomena observed when the arc runs in a transverse magnetic field are cathode spot grouping and the cathode spot retrograde motion, i.e., in the anti-Amperian direction. This paper summarizes the main experimental observations and proposes a physical model for spot grouping and spot retrograde motion. The proposed spot motion model take in account the previous theoretical model of the cathode thermal regime and the plasma flow near the cathode surface that is based on two conditions: i) the heat loss in the cathode bulk is relatively small to the heat influx, and ii) the plasma flow in the Knudsen layer is impeded. In the present model, the current per group spot is calculated by assuming that the plasma kinetic pressure is comparable to the self-magnetic pressure in the acceleration region of cathode plasma jet. The model includes equations for the current per spot group, spot velocity dependence on the magnetic field and on the arc current in vacuum, as well as in gas filled arc gap. The calculated currents per spot group and spot velocity increase linearly with the magnetic field and arc current, and this dependencies well agree with previous observations. The cathode spot retrograde motion in short electrode gaps and at atmospheric pressure arcs, and the reversal motion in strong magnetic fields (>1 T) observed by Robson and Engel are discussed. The details of the retrograde motion observed in the last decades including the spot velocity dependence on the electrode gap, roughness, temperature, and material could be understood in the frame of the proposed model.     

缩比间隙中辉光放电相似性的初步研究

为了研究缩比实验在气体放电中的有效性, 对缩比间隙中的低气压氩气放电进行了数值模拟. 根据气体放电相似性的猜想, 如果间隙气压p和间隙距离d的乘积为常量, 即p₁d₁=p₂d₂, 并且约化电场E/p 在两个间隙中的空间分布相同, 那么这两个放电间隙的放电特性存在相似性. 数值模拟中设置三个缩比间隙: 气隙A的长度为30 mm, 气压为1 Torr (1 Torr=133.322 Pa); 气隙B的长度为15 mm, 气压为2 Torr; 气隙C的长度为10 mm, 气压为3 Torr. 仿真结果表明, 三个间隙均为辉光放电, 并存在明显的阴极位降区. 间隙A, B, C 的阴极位降区的厚度d_C分别为2.71, 1.35和0.87 mm, 相对应的pd值几乎相同, 即pd_C≈2.70 Torr·mm. 这与氩气辉光放电Paschen曲线最低点(pd≈2.86 Torr·mm)相近. 缩比间隙的放电参数的特性(如工作电压、电场、电流密度、电子密度和离子密度的沿“空间”px的分布)的数值计算结果与放电相似性猜想所预计的结果一致. 所以, 可以认为放电相似性猜想适用于低气压氩气缩比间隙的辉光放电. 关键词： 放电相似性 辉光放电 缩比间隙     

Current-voltage characteristics of a reflex discharge with a hollow cathode and self-heating electrode

Results are presented from experimental studies of the current-voltage characteristics of a reflex discharge with a self-heating electrode used in a source of atomic hydrogen. The processes occurring in a discharge cell and governing the main features of the characteristics obtained are investigated theoretically. An explanation of the general features of the discharge is proposed. It is shown that an abrupt decrease in the discharge voltage with increasing hydrogen flow rate is associated with penetration of the plasma into the hollow cathode and the ignition of a hollow cathode discharge. It is demonstrated that, as the discharge current increases, the glow discharge gradually transforms into an arc discharge with a heated cathode.     

Interaction of a surface glow discharge with a gas flow

A surface glow discharge in a gas flow is of particular interest as a possible tool for controlling the flow past hypersonic aircrafts. Using a hydrodynamic model of glow discharge, two-dimensional calculations for a kilovolt surface discharge in nitrogen at a pressure of 0.5 Torr are carried out in a stationary gas, as well as in a flow with a velocity of 1000 m/s. The discharge structure and plasma parameters are investigated near a charged electrode. It is shown that the electron energy in a cathode layer reaches 250–300 eV. Discharge is sustained by secondary electron emission. The influence of a high-speed gas flow on the discharge is considered. It is shown that the cathode layer configuration is flow-resistant. The distributions of the electric field and electron energy, as well as the ionization rate profile in the cathode layer, do not change qualitatively under the action of the flow. The basic effect of the flow’s influence is a sharp decrease in the region of the quasineutral plasma surrounding the cathode layer due to fast convective transport of ions.     

Computation of the electric and magnetic fields induced in a plasmacreated by ionization lasting a finite interval of time

S.C. Wilks et al. (1988) showed that when an infinite expanse of gas, carrying a linearly polarized electromagnetic wave, is instantly ionized, the initial wave is frequency upshifted. This phenomenon of frequency upconversion through flash ionization gives rise to steady-state transmitted and reflected electromagnetic waves and to a time-independent magnetic field. The case in which the final state of ionization is achieved not instantly but in a finite turn-on time, 0⩽t⩽t 0, which is followed by the steady state, is studied. It is shown that the electric field is obtained from the one-dimensional Helmholtz equation, d²F(t)/dt² +ω₀²g(t)F( t)=0, if electrons are born at rest when they are created during ionization. As a result, the instantaneous frequency of the upshifted radiation is ω(t)=√g(t). The electric field can be solved exactly for specific choices of g(t). It is solved using WKB approximations for arbitrary g(t). The magnetic field is then found by integrating Faraday's law. It is found that the steady-state electric field amplitude depends on the steady-state value o f g(t) but does not depend on the ionization time t₀. Conversely, the static magnetic field amplitude decreases with increasing turn-on time     

Role of nonlocal ionization in formation of the short glow discharge

An analytical model for estimating basic characteristics of short (without a positive column) glow discharges is suggested that allows for electron generation both in the cathode sheath and by nonlocal ionization in the plasma negative glow. The model is based on a previously developed approach according to which the discharge gap is divided into space-charge layers and a quasi-neutral plasma. The plasma region includes part of the negative glow, Faraday dark space, and positive column (if it exists). Simple expressions for basic characteristics of the glow discharge (I–V characteristic, cathode sheath thickness, position of the point of electric field reversal, etc.) are derived, and plasma concentration distributions are presented. The results obtained in terms of our model are in good agreement with experimental data, while local approximations based on the classical Engel-Steenbeck model diverge considerably from the experiment.     

Current Density Per Cathode Spot in Vacuum Arcs

Two methods of computing the current density in a cathode spot of a metal arc are compared. The first method computes the spot area in terms of a crater left on the metal. Detailed arguments are presented as to why this method is not correct. Evidence is presented supporting a second method, that of estimating the cathode spot from the luminous glow observed during the discharge. The current density is estimated to be less than 105 A/cm2 during the lifetime of the spot.