Nonlinear effects in damping of a standing wave in a gas

The problem of constructing of a uniform asymptotic approximation to the solution of the Boltzmann equation is solved for an attenuating small-amplitude standing wave in a stationary homogeneous gas in the limiting case of small Knudsen numbers ɛ. Using the multiscale technique, a regular approximation valid for time intervals up to ɛ⁻¹ is obtained. It is shown that nonlinearity of the kinetic equation leads to violation of monochromaticity of the initial perturbation and changes the damping mode.     

Time evolution of atomic inversion in a standing wave light field

The interaction between an atomic beam of two-level atoms and a standing wave light field has been studied by the exact solution of a time-dependent quantum system developed recently. When the initial atomic state is choosen to be ground, we find that with the limit of zero detuning the atoms will oscillate between the upper and the lower levels with a decaying amplitude. The most interesting result obtained in this paper is when the initial atomic state is a particular superposition of the two levels, now the system does not oscillate at any time.     

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.     

Interaction of a standing frequency-modulated wave with a gas in a flight region

A formula is obtained for the power of the nth harmonic absorbed upon interaction of a standing frequency-modulated wave with a gas for an arbitrary modulation frequency and amplitude of the frequency deviation. The flight effects, the quadratic Doppler effect, and the recoil effect are taken into account.     

Observation of a degenerate Fermi gas confined by a standing electromagnetic wave

We have observed a gas of Fermi atoms confined in the antinodes of a standing electromagnetic wave. The standing wave is formed by two counter-propagating beams with the wavelength of 10.6 μm focused on the same spot. Each antinode confines a pancake-shaped cloud of 7500 lithium-6 atoms in two equally populated spin states at the temperature T = 0.1E _F, where E _F is the Fermi energy. The system is in the regime beyond the local density approximation: Only the 3 lowest energy states of the axial motion are populated. The system may become an instrument for the study of 2D Fermi physics and 3D effects beyond the local density approximation.     

Spectral line narrowing in a gas by atoms trapped in a standing light wave

This paper presents results of a theoretical analysis of a new method for eliminating the Doppler broadening of spectral lines and the broadening by the transit time of atoms through a light beam. The atomic motion in a one-dimensional standing wave is studied and the conditions for translational-to-vibrational motion transformation are found. The variation in the Doppler contour by the trapping effect is investigated. It is illustrated, in particular, that the width of the narrow peak at the line centre depends mainly on the finite transit time of the atoms through the light beam. Next it is shown that, by accumulating slow atoms in a three-dimensional standing wave, it is possible, in principle, to observe narrow peaks with their widths determined only by the natural line width. The possibility of experimentally detecting of the phenomenon is discussed.     

自适应光学系统时域特性分析

分析了激光导星发出的波前通过湍流大气所造成的波前相位畸变的时间功率谱 ;根据湍流相位时间功率谱和自适应光学系统的传递函数 ,比较了使用自然导星和激光导星时自适应光学系统的时间响应误差 ;讨论了使用自然导星时自适应光学系统的时域优化问题。     

大振幅驻波理论

本文从流体动力学基本方程出发,提出大振幅驻波的新理论,求得稳定的波形公式,试图解决长期可疑局面。     

Time domain de Broglie wave interferometry along a magnetic guide

Propagation and tunneling of light through photonic barriers formed by thin dielectric films with continuous curvilinear distributions of dielectric susceptibility across the film, are considered. Giant heterogeneity-induced dispersion of these films, both convex and concave, and its influence on their reflectivity and transmittivity are visualized by means of exact analytical solutions of Maxwell equations. Depending on the cut-off frequency of the film, governed by the spatial profile of its refractive index, propagation or tunneling of light through such barriers are examined. Subject to the shape of refractive index profile the group velocities of EM waves in these films are shown to be either increased or deccreased as compared with the homogeneous layers; however, these velocities for both propagation and tunneling regimes remain subluminal. The decisive influence of gradient and curvature of photonic barriers on the efficiency of tunneling is examined by means of generalized Fresnel formulae. Saturation of the phase of the wave tunneling through a stack of such films (Hartman effect), is demonstrated. The evanescent modes in lossy barriers and violation of Hartman effect in this case is discussed.     

The fluorescence of a molecular gas excited a strong monochromatic standing wave radiation field

Among the different methods of nonlinear spectrosccpy the method of analysing the fluorescence light is useful in investigating weak absorbing molecular transitions. In this paper the fluorescence of a molecular gas in the resonator of a high-power single mode laser is investigated. By tuning the standing wave field frequency to centre of the absorption line one observes a narrow local minimum for the fluorescence. This minimum is determined by the homogeneously broadened line of the molecular transition and gives information of the different molecular relaxation processes. The influence of vibrational-rotational relaxations, velocity changing collisions and spatial inhomogeneous distribution of the population caused by the standing wave field on the width and contrast of the minimum is theoretically investigated. It will be shown, that vibrational-rotational and velocity changing collisions increase the intensity of the fluorescence. The spatial inhomogeneous distribution of population caused by the excitation decreases the contrast.Results have been partially presented in reference [12].     

Frequency domain analysis and identification of block-oriented nonlinear systems

Block-oriented nonlinear models including Wiener models, Hammerstein models and Wiener-Hammerstein models, etc. have been extensively applied in practice for system identification, signal processing and control. In this study, analytical frequency response functions including generalized frequency response functions (GFRFs) and nonlinear output spectrum of block-oriented nonlinear systems are developed, which can demonstrate clearly the relationship between frequency response functions and model parameters, and also the dependence of frequency response functions on the linear part of the model. The nonlinear part of these models can be a more general multivariate polynomial function. These fundamental results provide a significant insight into the analysis and design of block-oriented nonlinear systems. Effective algorithms are therefore proposed for the estimation of nonlinear output spectrum and for parametric or nonparametric identification of nonlinear systems. Compared with some existing frequency domain identification methods, the new estimation algorithms do not necessarily require model structure information, not need the invertibility of the nonlinearity and not restrict to harmonic inputs. Simulation examples are given to illustrate these new results.     

Time domain numerical modeling of wave propagation in 2D heterogeneous porous media

This paper deals with the numerical modeling of wave propagation in porous media described by Biot’s theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear function of the relative velocity, which is valid in the low-frequency range. The coexistence of propagating fast compressional wave and shear wave, and of a diffusive slow compressional wave, makes numerical modeling tricky. To avoid restrictions on the time step, the Biot’s system is splitted into two parts: the propagative part is discretized by a fourth-order ADER scheme, while the diffusive part is solved analytically. Near the material interfaces, a space–time mesh refinement is implemented to capture the small spatial scales related to the slow compressional wave. The jump conditions along the interfaces are discretized by an immersed interface method. Numerical experiments and comparisons with exact solutions confirm the accuracy of the numerical modeling. The efficiency of the approach is illustrated by simulations of multiple scattering.     

Time domain capacitance spectroscopy of tunneling electrons in the two-dimensional electron gas

We have developed a technique capable of measuring the tunneling current into both localized and conducting states in a 2D electron system (2DES). The method yields I-V characteristics for tunneling with no distortions arising from low 2D in-plane conductivity. We have used the technique to determine the pseudogap energy spectrum for electron tunneling into and out of a 2D system and, further, we have demonstrated that such tunneling measurements reveal spin relaxation times within the 2DEG. Pseudogap: In a 2DEG in perpendicular magnetic field, a pseudogap develops in the tunneling density of states at the Fermi energy. We resolve a linear energy dependence of this pseudogap at low excitations. The slopes of this linear gap are strongly field dependent. No existing theory predicts the observed behavior. Spin relaxation: We explore the characteristics of equilibrium tunneling of electrons from a 3D electrode into a high mobility 2DES. For most 2D Landau level filling factors, we find that electrons tunnel with a single, well-defined tunneling rate. However, for spin-polarized quantum Hall states (ν=1, 3 and 1/3) tunneling occurs at two distinct rates that differ by up to two orders of magnitude. The dependence of the two rates on temperature and tunnel barrier thickness suggests that slow in-plane spin relaxation creates a bottleneck for tunneling of electrons.     

X-ray standing wave analysis with synchrotron radiation applied for surface and bulk systems

The advantageous use of synchrotron radiation for X-ray standing wave measurements is demonstrated. For bulk-like systems As implanted in Si was analysed with two reflection orders (220) and (440) which shows that lattice relaxation around the As atom can be measured. The case of Br chemisorbed on Si(111) illustrated the accomplished decrease in measuring time and increase in precision.     

谈"圆驻波"演示实验中的思维误区

指出了对“圆驻波”演示实验在认识上的两个误区，并在理论上分析了在该装置中实现圆环驻波的条件，得到了和实验现象相一致的理论结果。     

Mechanism of standing wave patterns in cardiac muscle

Recent experiments [R. A. Gray, Phys. Rev. Lett. 87, 168104 (2001)]] have revealed striking standing wave patterns in cardiac muscle. In excitable media, such as cardiac tissue where colliding waves annihilate, standing wave patterns result from a fully nonlinear mechanism. We present a possible physical mechanism explaining these patterns. The phenomenon does not depend on the precise excitable model chosen. Analogies are drawn with weak links in superconductors, and phase-slip solutions in the Ginzburg-Landau equations.     

Time domain identification and ranking of noise sources in a pneumatic nail gun

This paper investigates the noise sources in a pneumatic nail gun. The study combines two complementary experimental approaches. The first uses simultaneous data observation, with sound, acceleration and air pressure signals simultaneously recorded in conjunction with a nail gun motion high speed video. This strategy allows the identification of the physical processes involved in the operation of the machine at different time instants, as well as the associated noise generation mechanisms. However, since multiple noise sources radiate at the same time, this observation technique is not sufficient for noise source identification and ranking. Thus, a second approach introduces a selective wrapping procedure, and the strategy assures a reliable classification of the noise sources. The investigation considers the following noise origins: the air exhaust, the machine body and the workpiece/worktable.     

Pulsed standing wave deflection of sodium atoms

We study the deflection of sodium atoms by a resonantly tuned pulsed standing wave of high field intensity. The effects of the phase fluctuations of the pulsed laser field on the momentum distribution of the deflected atoms are experimentally determined. The results are explained using a theoretical model based on the generalized density matrix formalism of two-level atoms. Received 23 November 1998 and Received in final form 27 January 1999