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。     

驻波的能量

本文证明，在波节与波腹之间驻波的能量是守恒的，在波节和波腹处，能流密度都为零．本文还验证了驻波场的能量连续性方程．     

用虚拟示波器探究驻波模型

本文根据"音棒"实验的现象,进行猜想推理和理论计算,建立了相应的驻波模型,进而设计实验,利用基于电脑声卡的虚拟示波器进行探究,最终验证了理论模型的正确性.在该实验中驻波的波腹在铝棒两端,波节为手指捏的位置,其频率满足f=vN/2L.     

弦振动实验中阻力系数的测定

研究一端接简谐振源、另一端固定的弦在阻尼介质(空气)中的稳态振动及阻力系数的测定.结果表明在考虑了媒质阻尼的情况下,波节处的振幅将不为零.在理论上避免了无穷大振幅的出现,在实验上可通过测量波腹和波节处的振幅计算阻力系数以及在阻尼介质中的驻波波腹点和波节点的位置相对于自由空间的纯驻波状态时的波腹点和波节点的位置的偏离量.     

气体火焰驻波演示实验的理论分析

对通过声场使可燃气体产生火焰驻波的波形进行研究,得出火焰驻波在波节处(固定反射端)出现火焰,在波腹处几乎不出现火焰的结论,理论分析与实验观测相符.     

利用气体火焰研究驻波

驻波是一个比较抽象的概念,较难理解,用气体火焰模拟驻波可以让我们更直观的研究声场产生的驻波。实验中发现火焰按波形变化的规律分布,用驻波波函数和伯努利方程对实验现象进行了理论分析,引入压节(波腹)、压腹(波节)解释在两端出现的高火焰现象。实验结果与理论分析接近一致。     

驻波的能量

本文通过定量计算详细讨论了驻波在相邻波节波腹间能量的转化过程。以此证明了驻波的能量虽在相邻波节波腹间守恒，但其内各质元能量的变化一刻也没有停止过。     

基于气泵的声管实验及分析

为研究声管的发声频率，进行了实验设计和分析.声管转动发声是由于空气在声管中的流动，考虑实际的实验条件，设计了气泵吹气代替声管转动的实验方式，改变吹气速率并测量发声频率.通过对实验结果的分析发现，此时的声管不符合两端开口即两端为波腹的条件，而是一端波节、一端波腹.声管的发声频率取决于其长度，符合驻波特性，发声时吹气速率与波纹长度须满足共振条件.研究结果有助于对驻波的理解和相关内容的实验设计.     

用相位图分析驻波形成

波的核心是相位，驻波的关键是入射波与反射波的相位差，入射波和反射波相位随ｘ、ｔ变化的关系可用相位图（移动的斜线）表示，而相位差仅随ｘ变化，也可用斜线表示，这样即可很方便地确定波节和波腹的位置。     

驻波的能量分析与MATLAB模拟

分析了驻波能量、能量密度、能流密度在传播过程中的转换规律.用Matlab程序实现了驻波波形、能量密度、能流密度的计算机模拟,形象地展现了驻波传播过程中的能量变化,计算机模拟结果与理论分析所得结果一致.最后得到了在振动过程中驻波能量不断地从波节到波腹间相互转移,而从整体看驻波不传播任何能量的结论.     

Physical forces exerted by microbubbles on a surface in a traveling wave field

The effect of a wave with a varying traveling component on the bubble activity as well as the physical force generated by microbubbles on a surface has been studied. The acoustic emission from a collection of bubbles is measured in a 928 kHz sound field. Particle removal tests on a surface, which actually measures the applied physical force by the bubbles on that surface, indicate a very strong dependence on the angle of incidence. In other words, when the traveling wave component is maximized, the average physical force applied by microbubbles reaches a maximum. Almost complete particle removal for 78 nm silica particles was obtained for a traveling wave, while particle removal efficiency was reduced to only a few percent when a standing wave was applied. This increase in particle removal for a traveling wave is probably caused by a decrease in bubble trapping at nodes and antinodes in a standing wave field.     

Spatial study on a multibubble system for sonochemistry by laser-light scattering

Volumetric oscillation of multiple cavitation bubbles in an ultrasonic standing-wave field is investigated spatially through the intensity measurements of scattered light from bubbles changing the measuring position in the direction of sound propagation. When a thin light sheet finer than half of wavelength of sound is introduced into the cavitation bubbles, at an antinode of sound pressure the scattered light intensity oscillates. The peak-to-peak light intensity corresponds to the number of the bubbles which contribute to the sonochemical reaction because the radius for oscillating bubbles at pressure antinodes is restrictive in a certain range due to the shape instability and the action of Bjerknes force that expels from the antinode bubbles that are larger than the resonant size. The experimental results show that the intensity waveform of oscillating scattered light measured at the side near the sound source is similar to the waveform as seen in a single-bubble experiment. The peak-to-peak light intensity for the scattered light waveform is low at the side near the sound source where the progressive wave is dominant, while at the side near the water surface far from the sound source the intensity is relatively high and has periodic structure corresponding to the periodicity of half wavelength from the standing wave. These tendencies of high intensity near the water surface and the periodicity correspond to the periodic luminescent stripes seen in images of luminescence in an ultrasonic standing wave as reported by Hatanaka et al. [Jpn. J. Appl. Phys. 39 (2000) 2962]. The present method of light scattering is promising for evaluating spatial distribution of violently oscillating cavitation bubbles which effect sonochemical reactions.     

Electron dynamics and harmonics radiation due to electron oscillation driven by laser standing wave

The electron dynamics and harmonics radiation spectra due to electron oscillation driven by laser standing wave (SW) have been investigated considering a single electron mode. It is found that electron can pass through or be reflected from laser SW as electron is shot into laser SW from antinodes plane with initial velocity parallel to electric field of SW, and for electron incidence at arbitrary plane the attraction plane of electron trajectories will transfer from nodes plane to antinodes plane if initial electron kinetic energy exceeds a critical value. Further, the harmonics emission due to electron oscillation during passing through laser SW is considered in two cases of electron incidence plane at nodes and antinodes. In case of electron incidence at nodes, the spectrum of radiation is redshifted for backward radiation and blueshifted for forward radiation, and broadening of spectrum is noticed. These effects are much more pronounced at higher laser intensities. However, for case with electron incidence at antinodes, these phenomena vanish.     

High-speed observation of acoustic cavitation erosion in multibubble systems

Cleaning and erosion of objects by ultrasound in liquids are caused by the action of acoustic cavitation bubbles. Experiments have been performed with respect to the erosive effect of multibubble structures on painted glass surfaces and on aluminium foils in an ultrasonic standing wave field at 40 kHz. High-speed imaging techniques have been employed to investigate the mechanisms at work, in particular bubble interaction and cluster formation near and at the object surfaces. It was found that different prototype bubble structures can contribute to the erosion process. Some are bound to the surface, which seems to act as a bubble source in this case, while others also exist independently from the object. Cleaning and erosion effects at the pressure antinodes can vary strongly as they depend on the emerging bubble structures. These, in turn, seem to be substantially influenced by properties and the history of the surface.     

Nonlinear Spherical Standing Waves in an Acoustically Excited Liquid Drop

Nonlinear evolution of a standing acoustic wave in a spherical resonator with a perfectly soft surface is analyzed. Quadratic approximation of nonlinear acoustics is used to analyze oscillations in the resonator by the slowly varying amplitude method for the standing wave harmonics and slowly varying profile method for the standing wave profile. It is demonstrated that nonlinear effects may lead to considerable increase in peak pressure at the center of the resonator. The proposed theoretical model is used to analyze the acoustic field in liquid drops of an acoustic fountain. It is shown that, as a result of nonlinear evolution, the peak negative pressure may exceed the mechanical strength of the liquid, which may account for the explosive instability of drops observed in experiments.     

Phase-sensitive detection of bragg scattering at 1D optical lattices

We report on the observation of Bragg scattering at 1D atomic lattices. Cold atoms are confined by optical dipole forces at the antinodes of a standing wave generated by the two counterpropagating modes of a laser-driven high-finesse ring cavity. By heterodyning the Bragg-scattered light with a reference beam, we obtain detailed information on phase shifts imparted by the Bragg scattering process. Being deep in the Lamb-Dicke regime, the scattered light is not broadened by the motion of individual atoms.     

太赫兹波段微腔器件的设计及其特性研究

采用磁控溅射法制备了金属Cr膜, 并利用太赫兹时域光谱法获得了其光学参数. 利用Cr膜的光学参数计算了其相位穿透深度, 设计了基于低温GaAs 的全金属平面微腔光电导太赫兹辐射器件. 模拟结果表明: 器件的谐振频率分别为0.32, 0.65, 0.98, 1.31和1.65 THz, 与自由空间的光电导太赫兹谱相比, 在谐振频率为0.32 THz处的峰值强度提高了25倍, 光谱半高全宽压缩了50倍. 讨论了辐射偶极子与腔内驻波场之间的耦合强度对器件辐射强度的影响, 发现当辐射中心位于驻波场波腹处时, 器件辐射最强, 位于波节处时辐射被严重抑制. 太赫兹波段微腔效应的研究对于实现单色性好, 连续调谐, 高效高辐射强度的太赫兹源具有一定的理论意义.     

Acoustic levitation and its application in estimation of high power sound field

Acoustic levitation has been studied using airborne radiation from a high power magnetostrictive ferrite transducer of frequency 18 kHz. Spherical solid objects as well as liquid drops of varying weight and radii have been levitated under I G at the velocity antinodes of the standing waves formed with the help of a reflector. The dependence of the maximum weight of a spherical object that can be levitated on the sound pressure level and the radius of the obstacle has been studied. An attempt has been made to estimate the radiated high power sound intensity from the maximum weight of the spherical object that can be levitated.     

A search for sonoluminescence in vivo in the human cheek

In a previous experiment, sonoluminescence was observed in aerated water, especially at the pressure antinodes in the standing-wave field of a physiotherapeutic ultrasound device (Therasonic 1030). Mammalian cells in vitro showed growth inhibition when placed at the pressure antinodes but not at adjacent pressure nodes. In the light of these results, we looked for sonoluminescence in vivo when a similar standing-wave field was set up. To detect luminescence, a light guide was held against the inner surface of the human cheek. This would channel any luminescence photons to a cooled, red-sensitive photomultiplier which would quantify the light. Direct insonation of the cheek produced no detectable luminescence. Similarly when a water bag was placed against the outer surface of the cheek, and the latter was insonated through the bag, no luminescence was detected. Sonoluminescence from the water bag was, however, detected when the bag was placed against the inner surface of the cheek, showing that absorption of sound by the cheek tissue was not preventing cavitation. Further analysis showed that if cavitation had been occurring in the cheek without detection using the system employed, then the resulting sonoluminescence would have to be at most 0.025 times as intense as that produced by an equivalent volume of aerated water.