Induced field of an electromagnetic vibrator above a conducting screen placed in a microwave beam

The induced field of a cylindrical electromagnetic vibrator with spherically rounded ends is calculated. The vibrator is above a flat screen placed in a linearly polarized quasi-optical microwave beam. The plane of the screen is perpendicular to the Poynting vector of the radiation. The axis of the vibrator is aligned with the vector of the exciting field electrical component. In calculation, the length of the vibrator and the vibrator-screen distance were varied, while its diameter and the initial field were kept constant. It is found that the induced field of the vibrator with a length close to the half-wavelength of the field is maximal at the ends of the vibrator and the field strength resonantly depends on the length of the vibrator. The shortening of the “half-wavelength” vibrator that provides a maximal induced field is determined. The result of numerical simulation is to an extent intriguing. It is revealed that the induced field of a resonance half-wavelength vibrator rises considerably when the vibrator-screen distance becomes shorter than the quarter-wavelength of the field. The Q factor of an equivalent electromagnetic oscillating circuit characterizing the vibrator also grows, and the induced field more and more concentrates between the screen and the surface of the vibrator’s ends facing the screen. Full-scale experiments qualitatively support theoretical predictions. The results allow researchers to considerably extend the application area of vibrators as initiators of breakdown in high-pressure gases to ignite microwave discharges in quasi-optical beams with a low initial field.     

Electromagnetic vibrator: An initiator of air breakdown in the subcritical field of a quasi-optical microwave beam

The subject of investigation is the resonance properties of cylindrical electromagnetic vibrators with different diameters and spherically rounded ends acting as initiators of air breakdown in the subcritical field of a quasi-optical microwave beam. The vibrator is placed both in the field of a traveling electromagnetic wave and at the antinode of the field above a screen inserted in the microwave beam. The shortening of the half-wave vibrator that governs its ability to initiate air breakdown, the field at the top-pole of this vibrator, and a tolerance on its resonance length are found from experimental data.     

Microwave breakdown of air initiated by a short electromagnetic vibrator

The electrical breakdown of air (under a pressure from several tens of Torr to several hundreds of Torr) is initiated in a linearly polarized quasi-optical microwave beam using a rounded-end cylindrical metallic electromagnetic vibrator placed parallel to the electric component of the microwave field. The vibrator is much shorter than the wavelength of the field. The field strength at the top of the vibrator as a function of its length is determined. An empiric expression relating the field strength at the top with the vibrator length-to-diameter ratio is found for the vibrator length range studied. The practicability of locally measuring the field in a quasioptical microwave beam is substantiated. The idea is to determine the maximal air pressure at which electrical breakdown of air initiated by a short vibrator placed at a given point of the beam takes place.     

Acoustoseismic wave fields generated by surface seismic vibrators

Results of experimental and theoretical studies of acoustoseismic wave fields generated by surface seismic vibrators are presented. In experiments with high-power seismic vibrators operating in a frequency range of 5–10 Hz, acoustic waves were recorded at distances up to 50 km from the source. The long-range sound propagation from seismic vibration sources was observed in a near-surface waveguide arising due to temperature inversion. The effect of the acoustoseismic induction, i.e., excitation of surface seismic waves by the acoustic wave arriving from the vibrator, was also detected. The results of mathematical modeling of the acoustoseismic field generation by an operating seismic vibrator are presented. They include the modeling of the radiation of a harmonic acoustic wave’s by the vibrator, its trapping by the near-surface waveguide, the long-range low-frequency acoustic wave propagation in the presence of the waveguide, and the induction of a surface seismic wave by the arriving harmonic acoustic wave. It is shown that a seismoacoustic wave propagating at the boundary between the elastic earth and the atmosphere is an analog of the Stonely wave that appears in the presence of a near-surface low-temperature layer in the atmosphere.     

Electric discharge in air in a deeply subcritical field of a quasi-optical microwave beam

We describe the results of experiments on initiation of an electric discharge in air in a quasi-optical microwave beam by an electromagnetic vibrator fixed above the screen. This method for initiating the electrical breakdown makes it possible to obtain a discharge at a level of the electric field component in the microwave, which two orders of magnitude lower than the minimal critical field of the electrodeless breakdown of air. In our experiments, the threshold value of the air pressure determining the low- and high-temperature forms of the microwave discharge are determined depending on the field level.     

Regular set of gas discharges on the surface of a dielectric in a quasi-optical microwave beam

Various ways of producing a regular set of plasma objects in the field of a quasi-optical microwave beam using passive vibrators are considered. These objects provide the basis for a periodic vortex structure on the surface of an immersed dielectric body. The properties of a deeply subcritical surface discharge in the flow, as well as its structure and spatial and energy characteristics, are described.     

The forward and backward projection of acoustic fields from axisymmetric ultrasonic radiators using impulse response and Hankel transform techniques

A generalized impulse response formulation to evaluate the harmonic pressure field of ultrasonic planar vibrators having axisymmetric nonuniform surface velocity distributions is presented. The harmonic pressure is expressed as a Fourier transform of a generalized impulse response which is a function of the spatially nonuniform velocity of the vibrator. A backward projection method is then developed to reconstruct the normal surface velocity of axisymmetric vibrators from harmonic field pressures using an angular spectrum or Hankel transform formulation. The numerical accuracy of the backward projection technique is evaluated using the impulse response formulation to evaluate the pressure fields for several velocity distributions on disk vibrators. Experiments were performed to reconstruct the velocity distributions over the surface of a uniformly driven piezoelectric ceramic disk and ceramic ring using farfield measurements of the complex pressure. The experimental results were in good agreement with theoretical results based on the electrode patterns of the transducers.     

Effective area of energy interactions between the plasma of a deeply subcritical microwave discharge and its initiating electromagnetic field

Experiments on initiating electrical air discharge in an airtight radiotransparent volume have been described. The discharge is initiated by a quasi-optical linearly polarized microwave beam with a deeply subcritical field by means of an electromagnetic vibrator mounted above a screen. The results make it possible to calculate the effective area of energy interaction between the plasma of the discharge and its initiating microwave field. It has been shown that this area considerably exceeds the cross-sectional area of the discharge.     

Multipoint Ignition of a Gas Mixture by a Microwave Subcritical Discharge with an Extended Streamer Structure

The results of experimental studies on using an electrical discharge with an extended streamer structure in a quasioptical microwave beam in the multipoint ignition of a propane–air mixture have been reported. The pulsed microwave discharge was initiated at the interior surface of a quartz tube that was filled with the mentioned flammable mixture and introduced into a microwave beam with a subbreakdown initial field. Gas breakdown was initiated by an electromagnetic vibrator. The dependence of the type of discharge on the microwave field strength was examined, the lower concentration threshold of ignition of the propane–air mixture by the studied discharge was determined, and the dynamics of combustion of the flammable mixture with local and multipoint ignition were compared.     

Detachment of electrons from atmospheric oxygen molecules in a high electric field

The results of experiments on the electrical breakdown of air in a quasi-optical microwave beam with a deeply subcritical initial field have been reported. Breakdown has been initiated by a cylindrical vibrator with spherically rounded ends and a vibrator with a tapered end. The experimental data suggest that the amount of initial breakdown-initiating electrons in a breakdown area can be provided by the detachment of electrons from atmospheric oxygen molecules. The effect of detachment depends on the field strength.     

Deeply undercritical microwave discharge excited by the field of a quasi-optical electromagnetic beam in a supersonic air jet

Electric discharge in a supersonic air jet is studied. It is ignited in a linearly polarized quasi-optical microwave electromagnetic beam the initial field intensity of which is much lower than the breakdown level. Electric breakdown is initiated by a tubular electromagnetic vibrator, one end of which has spikes and is covered by a quartz tube. Atmospheric air enters into a low-pressure working chamber through the inner channel of the vibrator. As a result, an immersed supersonic air jet forms in the chamber at the outlet from the quartz tube. A microwave discharge ignited in this jet is “attached” to aft spikes of the vibrator. The energy deposit into the discharge plasma and the effective area of energy interaction between the discharge and excited microwave field are estimated from the temperature and stagnation pressure distributions in the wake of the discharge.     

Acoustic method for calibration of audiometric bone vibrators

The standard method for the calibration of audiometric bone vibrators requires the use of an artificial mastoid, a device that converts vibratory energy to an electrical analog. The mechanical input impedance of the device is designed to represent the average mechanical impedance of the human head. For calibration purposes, it is not necessary that the coupling device represent the impedance of the head. It is only necessary that it provides a repeatable measurement of the output of the vibrator that can be related to the normal threshold of hearing at each test frequency. In addition to the mechanical output that serves as the stimulus for the hearing test, bone vibrators produce an acoustic signal that is proportional to the mechanical force delivered to the head. By determining the transfer function relating the acoustic sound pressure to the mechanical force, the acoustic signal can serve as a proxy for the vibratory stimulus. This article describes the design and validation of an acoustic coupler for the calibration of audiometric bone vibrators.     

A simple expression for the microwave surface impedance in the ferromagnetic antiresonance region

There is derived a simple analytical expression for the real component of the microwave surface impedance in the ferromagnetic antiresonance region at the external field parallel to the ferromagnetic metal sample surface. The formula for the field derivative of the surface impedance (the quantity usually measured in the experiment) is evaluated. Some properties of this expression are investigated and there are analyzed two definitions of the ferromagnetic antiresonance curve width which are suitable for the Landau-Lifshitz relaxation parameter determination from the experiment.     

Nonlinear mixing of oppositely travelling surface plasmons

A theoretical treatment of the nonlinear mixing of two contra-directional surface plasmons of frequency ω₁ and ω₂ propagating on a semi-infinite metal surface is presented. The nonlinear interaction is analysed in terms of (a) nonlinear surface currents due to the breaking of inversion symmetry and the rapid variation of the normal electric field component at the surface, and (b) the nonlinear response of the electron gas in the bulk of the metal. These currents are treated as source terms for Maxwell's equations and electromagnetic fields are found which satisfy the driven wave equation and boundary conditions at the frequencies ω₁ ± ω₂. At the difference frequency ω₁ ? ω₂ the solution fields decay exponentially into both the air and the metal. However, at the sum frequency ω₁ + ω₂, coupling to transverse electromagnetic waves in both the air and the metal is predicted under appropriate wavevector and frequency conditions. The free-space radiation field is treated in detail and the feasibility of its experimental detection is discussed. No coupling to longitudinal bulk plasmons is predicted in this model of the nonlinear interaction.     

带压电片的阶梯形变幅杆的几何尺寸对振动特性的影响

本文分别讨论了两种振子:螺栓连接的振子和张力壳连接的振子。目的是:对螺栓连接的振子,通过改变阶梯形变幅杆的粗棒长度,分别研究细杆长度、位移振幅放大倍数,以及细杆输出位移振幅的变化,从而优选出变幅杆的粗端长度。另一方面对张力壳连接的振子,通过改变粗端直径大小,观察了细杆输出位移振幅的变化,粗、细端直径和谐振频率的关系。同时对细杆长度和谐振频率的关系,分别进行了探索,给出了选择振子尺寸的方法。 关键词：     

Time Relativity in the Dynamics of Open Quantum Systems

Various methods for determining the Coulomb logarithm in the kinetic theory of transport and various variants of the choice of the plasma screening constant, taking into account and disregarding the contribution of the ion component and the boundary value of the electron wavevector are considered. The correlation of ions is taken into account using the Ornstein–Zernike integral equation in the hypernetted-chain approximation. It is found that the effect of ion correlation in a nondegenerate plasma is weak, while in a degenerate plasma, this effect must be taken into account when screening is determined by the electron component alone. The calculated values of the electrical conductivity of a hydrogen plasma are compared with the values determined experimentally in the megabar pressure range. It is shown that the values of the Coulomb logarithm can indeed be smaller than unity. Special experiments are proposed for a more exact determination of the Coulomb logarithm in a magnetic field for extremely high pressures, for which electron scattering by ions prevails.     

振荡器起振过程的Nyquist图分析

本通过对一个谐振于中频(约数千赫)的振荡器的起振过程Nyquist图分析。给出了起振过程的详细描述，使读能清楚地看到起伏过程中输出端信号频率和幅值变化的过程及要得到标准正弦波应注意的问题，对振荡器的实验研究有一定指导意义。     

Effects of metal and “magnetic wall” on the dispersion characteristic of magnetostatic waves

The dispersion relation of magnetostatic waves tangentially magnetized to saturation ferrite film, with a “magnetic wall” condition (tangential component of microwave magnetic field is equal to zero) on one of the film surface and with a metal condition on the opposite surface is analyzed. The dispersion characteristics show that unidirectional magnetostatic waves appear in this structure: they can transfer energy in one direction only and fundamentally cannot transfer energy in the opposite direction. The dispersion-free propagation of magnetostatic waves also is possible in the structure in a wide frequency interval.     

Electrical discharge excited by the deeply undercritical field of a microwave beam in a high-speed jet of air and air-propane mixture

An electrical gas discharge initiated by a tubular linear electromagnetic vibrator is studied. The discharge is excited by the deeply undercritical linearly polarized field of a quasi-optical microwave beam. Experiments are conducted at a flow velocity of several hundreds of meters per second. The discharge region is photographed, and the stagnation temperature of the flow in the wake of the discharge is measured. It is shown that a deeply undercritical microwave discharge may arise in air even at such high flow velocities. Moreover, it is found that the discharge ignites and stabilizes the discharge region in a “lean” air-propane mixture. In such an experimental design, propane completely burns out when the flow velocity is smaller than some threshold value. When the flow velocity is high and the Mach number of the flow approaches unity, throttling effects and “thermal blocking” of the jet are observed.     

径向偏振光束激发的金属纳米球-纳米圆盘间隙模式等离激元共振光谱特性研究

提出了一种可用于表面增强拉曼测量的基于金属纳米圆盘上方放置金属纳米球颗粒构成的金属纳米结构，其在径向偏振光束激发下，由于金属纳米圆盘的呼吸模式表面等离激元共振的作用，可以形成纵向电场有效增强的间隙模式等离激元共振。对此进行了有限元模拟计算研究，计算结果证明该间隙模式的纵向电场分量相对于径向偏振入射光的有效激发横向电场分量增强了100倍以上。为了更清晰地展现这种新型纳米结构的光谱特性以及表面电场分布特征，同时对单个金属纳米圆盘，单个金属纳米球，金属薄膜，金属纳米球-金属薄膜这几种纳米结构在同一个模拟计算框架下进行了计算以及比较分析。由于可以把金属纳米球类比为金属探针的尖端，所提出的新型间隙模式也有望在针尖型拉曼增强中得到应用。