弦上驻波的诠释

弦上的驻波，有别于无限空间的理想驻波．其主要成分是腹振幅远大于入射波振幅且腹振幅递增的定域驻波；次要成分则是其振幅小于入射波振幅且其振幅渐减的正向行波．     

等截面驻波管内大振幅驻波场的实验研究

通过改进等截面驻波管实验系统,在1阶峰值共振频率激励下获得了182.1 dB大振幅驻波场,并对1~5阶峰值共振频率激励下的大振幅驻波场谐波饱和情况以及波形畸变进行了实验研究。研究发现,尽管1阶峰值共振频率激励下声压级已达到182.1 dB,但波形畸变最小,谐波并未表现出饱和现象,而3阶峰值共振频率激励下的大振幅驻波场表现出了饱和趋势。对谷值共振频率激励下获得的大振幅驻波场进行对比实验研究,发现谷值共振频率激励下,1阶谷值共振频率所获得的驻波场声压级最大,但波形畸变也最大。在相同声源驱动电压下,1阶峰值共振频率激励下获得的驻波场声压级始终大于1阶谷值共振频率激励下获得的驻波场声压级。由此可见,利用扬声器在等截面驻波管中获取大振幅驻波场,驻波管由1阶峰值共振频率激励较为合适。      

驻波法测量声速实验中的非完全驻波

驻波法测量空气中的声速实验中 ,由于反射波的振幅小于正向波的振幅 ,合成后形成的是非完全驻波 ,实际上 ,这是一个驻波与行波的叠加。     

失谐驻波管及其极高纯净驻波场性质的研究

由直径不同的两级直圆管连接而成的两级突变截面驻波管具有失谐性,即高阶共振频率不是一阶共振频率的整数倍. 两级突变截面驻波管的失谐性质能够很好地抑制一阶共振频率激励下的大振幅非线性驻波畸变产生的高次谐波,从而获得大振幅纯净驻波场. 通过对两级突变截面驻波管失谐性质的研究,采用大功率扬声器正接等措施,利用两级突变截面驻波管的失谐性质在一阶共振频率激励下获得了184 dB的极高纯净驻波场,并对二至五阶共振频率激励下的声场进行了相应的实验研究. 在二阶、四阶共振频率激励下分别获得了180和166 dB波形比较规整的大振幅非线性驻波,并在三阶、五阶共振频率激励下观察到了谐波饱和现象和锯齿波. 关键词： 失谐驻波管 大振幅驻波 畸变 饱和     

用改进的传输线算法计算水平层状横向同性地层中海洋可控源电磁响应

利用二维Fourier变换与电磁场分解技术将层状横向同性地层中Maxwell方程转化成两个独立的关于横磁(TM)波和横电(TE)波的传输线方程; 借助传输线理论与叠加原理, 仅利用电流源传输线Green函数得到TM波和TE波的解, 改进传输线算法, 建立横向同性地层中频率-波数域电流源电场和磁场并矢Green函数的新算法与新的解析表达式, 提高海洋可控源电磁响应数值模拟效率. 在此基础上, 利用传输线Green函数的基本解以及边界条件, 推导出广义反射系数与振幅递推公式, 得到各个地层中传输线Green函数的解析解; 然后利用Fourier逆变换与Bessel公式将海洋可控源电磁响应表示为Sommerfeld形式的积分, 借助三次样条插值与Lommel积分公式快速计算其数值解. 通过数值模拟结果考察工作频率以及地层各向异性电阻率变化等对海洋电磁响应的影响. 关键词： 传输线法 横向同性地层 海洋可控源电磁 Sommerfeld积分     

电磁驻波中的能量与能流分布探讨

本文对平面时谐电磁波形成的驻波能量与能流的分布情况进行了理论推导,探讨了电磁驻波能量的分布特征。结果与机械波形成的驻波场进行比较,揭示了驻波能量和能流的规律具有普遍性。     

高强度激光与等离子体相互作用中的受激Raman级联散射、光子凝聚以及大振幅电磁孤立子的产生与加速

应用一维相对论电磁粒子模拟程序，详细研究了线性极化强激光入射到无碰撞稀疏密度长等离子体中引起的受激Raman散射、Raman级联散射、级联散射到光子凝聚、以及大振幅电磁孤立子的产生与加速. 通过研究发现：在适当的激光振幅和等离子体状态下，强的光子凝聚现象会导致大振幅电磁孤立子的产生，电磁孤立子可以以静止、向后以及向前加速的形式存在；在密度均匀的等离子体中，电磁孤立子的加速不仅依赖于激光振幅而且依赖于等离子体的长度；电磁孤立子的电磁频率大约为未扰动电子等离子体振荡频率的二分之一左右，孤立子内电磁场的电场具有半周期结构，相应电磁场的磁场以及静电场则具有一个完整的周期结构. 关键词： 粒子模拟 受激Raman散射 Raman级联散射 光子凝聚 电磁孤立子     

纵向驱动弦的次频振动实验分析

讨论纵向驱动弦时的次频驻波振动现象,与弦运动轨迹的观察方法。根据弦运动轨迹,用仿真分析谐波振动可获得弦振动的有关物理信息。实验观察到,可出现非共振驻波(次频振动)振幅可比共振驻波振幅大的多现象。     

激光驻波场中电子运动与能量分析

采用相对论Lorentz方程,数值计算了高能电子在线极化激光驻波场中的运动过程。计算结果表明,电子能量存在一个临界值,能量超过临界值的入射电子在驻波场中振荡运动的稳定平衡位置由波节变成波腹。在波腹处平行于电场入射的高能电子在强电场作用下速度和能量快速振荡,其振幅包络近似为余弦函数。而在波节处垂直于磁场入射的电子仅在Lorentz力作用下快速振荡,在穿过驻波中心前获得能量,穿过中心后失去能量,电子出射后能量均保持不变。     

关于驻波的直观教学

采用旋转矢量法分析了驻波波函数的构建过程,结合几何图形解释了驻波的振幅和相位变化等特征的形成原因,同时分析了驻波运动特性,定性讨论了驻波的能量分布和变化特点.这种分析方法有助于加深学习者对驻波本质的理解.     

About the linewidth of cyclotron resonance in band-gap graphene

The critical amplitude of circularly polarized electromagnetic wave when the hysteresis of cyclotron absorption takes place, was found for band-gap graphene. The dependence of critical amplitude on the gap value and on the relaxation time was investigated. The conditions of applicability of linear theory describing the electromagnetic response of band-gap graphene in a non-zero magnetic field were found. The power of the circularly polarized electromagnetic radiation absorbed by band-gap graphene in the presence of a magnetic field was calculated. The linewidth of cyclotron absorption was shown to be not zero even for pure band-gap graphene.     

Behavior of higher harmonics of the granular HTSC response to a low-frequency magnetic field

A theoretical explanation is proposed for the experimental results on the behavior of higher harmonics of the granular HTSC response to a variable magnetic field of frequencies ～10² Hz. The theory explains the periodicity in the dependence of the harmonics amplitudes on a static external magnetic field; the dependence of the period on the harmonics number and on the amplitude of the variable magnetic field; the existence of the threshold in the dependence of the odd-harmonics amplitudes on the amplitude of the variable magnetic field; and the possible formation of pairs for these dependences for the neighboring odd harmonics. It is shown that the experimental dependences can be explained without a detailed analysis of microprocesses in individual Josephson loops only by treating HTSC as a macroscopic medium characterized by the dependence Φ(H) of the magnetic flux on the external magnetic field, which is typical of type II superconductors.     

Switching field modulation of a nanomagnet by resonant microwave spin torque

We report on the effect of a low amplitude microwave current on the switching field of magnetic layers in a 40 nm diameter pseudo-spin valve grown by template synthesis. We show a frequency dependence at room temperature reflecting the dynamic behavior of the switching process. This is confirmed by numerical calculation of the Landau-Lifschitz-Gilbert equation including Slonczewski Spin Transfer Torque term within a macrospin approximation. The possibility to modulate the switching fields of a nanomagnet with microwave currents offers an alternative to the magnetic switching assisted by microwave magnetic field.     

Characteristics of the statistical distribution of the current transmitted by a cathode spot of a vacuum arc in variously oriented magnetic fields

The influence of variously oriented uniform magnetic fields on the cathodic attachment of a low-current vacuum arc with electrodes made of oxygen-free copper and CuCr30 composition is studied. It is found that, if the current is fixed, cathode spots in the arc attachment are distributed by the normal law in the entire range of variation of the amplitude of magnetic induction vector B and angle α between this vector and the normal to the cathode surface. The parameters of the distribution depend on the magnetic field and cathode material. The magnetic field dependence is appreciable only when angle α exceeds some critical value α* (α* ≈ 30° and ≈45° for cathodes made of copper and CuCr30, respectively). At α > α*, the parameters of the distribution become strongly dependent on α, while the B dependence remains weak. Only when α → π/2 does the field amplitude have a pronounced effect on the parameters of the distribution. From the obtained results, we determine the statistical characteristics of the distribution of the mean current transmitted by a cathode spot in variously oriented magnetic fields. The found relationships make it possible to explain the peculiarities of the structure of the cathodic attachment of the high-current vacuum arc stabilized by an external axial magnetic field.     

Effect of a longitudinal magnetic field on the excitation of plasma wake waves

The effect of a longitudinal magnetic field on the linear wake fields excited by a relativistic electron bunch in a cold homogeneous plasma is considered. The obtained results prove that the presence of an external magnetic field leads to a dependence of the wake wavelength on the transverse coordinate, to a change in the wave amplitude with increasing distance from the bunch, and to the emergence of anharmonicity. It is found that a strong magnetic field reduces the wave amplitude significantly for narrow bunches and changes the amplitude insignificantly for broad bunches.     

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

The dynamical responses of XY ferromagnet driven by linearly polarised propagating and standing magnetic field wave have been studied by Monte Carlo simulation in three dimensions. In the case of propagating magnetic field wave (with specified amplitude, frequency and the wavelength), the low temperature dynamical mode is a propagating spin wave and the system becomes structureless (or random) in the high temperature. A dynamical symmetry breaking phase transition is observed at a finite (non-zero) temperature. This symmetry breaking is confirmed by studying the statistical distribution of the angle of the spin vector. The dynamic non-equilibrium transition temperature was found to decrease as the amplitude of the propagating magnetic field wave increased. A comprehensive phase boundary is drawn in the plane formed by temperature and amplitude of propagating field wave. The phase boundary was observed to shrink (in the low temperature side) for longer wavelength of the propagating magnetic wave. In the case of standing magnetic field wave, the low temperature excitation is a standing spin wave which becomes structureless (or random) in the high temperature. Here also, like the case of propagating magnetic wave, a dynamical symmetry breaking non-equilibrium phase transition was observed. A comprehensive phase boundary was drawn. Unlike the case of propagating magnetic wave, the phase boundary does not show any systematic variation with the wavelength of the standing magnetic field wave. In the limit of vanishingly small amplitude of the field, the phase boundaries approach the recent Monte Carlo estimate of equilibrium transition temperature.     

Correlations between microstructure and a.c. magnetic response of bulk superconducting YBa2Cu3O7−x

Summary The magnetic response of granular superconducting YBCO samples with different grain sizes is reported. The analysis is carried out by measuring the low-frequency a.c. magnetic susceptibility as a function of the temperature with an applied magnetic field of amplitude ranging between 0.4 and 800 A/m. The observed magnetic behaviour is interpreted in terms of grain size and weak-links properties. The experimental results evidence the influence of the sample microstructure on the magnetic susceptibility. The intergranular and intragranular onset temperatures are compared with the critical temperature of the samples obtained by means of electrical-resistivity measurements. The temperature dependence of the intergranular critical current density is derived from the susceptibility data.     

Quantization of acoustoelectric current in a ballistic channel

The electric current induced by an ultrasonic phonon flux in a ballistic quasi-two-dimensional quantum channel is investigated theoretically. Two types of confining potential are considered. An analytic expression for the acoustoelectric current is derived, and its dependence on the chemical potential and on the magnitude of the longitudinal magnetic field is investigated. It is shown that the dependence of the acoustoelectric current on the chemical potential may be of the experimentally observed step type. The oscillatory dependence of the acoustoelectric current on the magnetic field is considered for the cases of weak and strong magnetic quantization.     

Helical instability of a semiconductor plasma in silicon wafers at 77 K

This paper reports an analysis of the experimental results on how the threshold electric field intensity required to excited helical instability of a semiconductor plasma in wafers of p-silicon depends on the magnitude of magnetic induction. Also cited are data on the dependence of the threshold frequency on electric field intensity. The variations of the amplitude of the alternating current, caused by the development of helical instability, with electric field intensity and magnetic induction well above the instability excitation threshold are examined.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 54–60, August, 1991.