From superradiant Rayleigh scattering to Bragg scattering

We present the results of an experiment on light scattering from an elongated Bose-Einstein condensate interacting with far off resonant laser light. Due to superradiant Rayleigh scattering a coherent superposition of two atomic wavepackets with different momenta forms in the presence of a single laser beam. Varying the intensity of a weak counterpropagating laser beam we observe the transition from the pure superradiant regime to the Bragg scattering regime, where Rabi oscillations in a two-level system are observed. The process is limited by the decoherence between the two atomic wavepackets.     

瑞利散射和米氏散射现象的实验演示

硫代硫酸钠与稀盐酸反应时,会在溶液中缓慢产生不溶于水的固态硫分子,其直径小于可见光的波长;随着反应的进行,多个硫分子聚结形成较大颗粒,其直径接近并逐渐大于可见光波长.在上述反应过程中,利用白光照射溶液,可以分别观察到瑞利散射和米氏散射现象,并在文中研究和分析瑞利散射时光的偏振特性.     

电子-正电子散射与电子-电子散射的极化效应

计算了电子-正电子散射的16种极化散射截面.根据角分布的特征,它们可以分为三大类,其前向奇性分别是sin~(-4)(θ/2)、sin~(-2)(θ/2)和1.也计算了电子-电子散射的16种极化散射截面,它们既可以按前向奇性分为三大类,也可以按后向奇性分为三大类.三类奇性的特征与电子-正电子散射类似.对于三类奇性的出现给出了直观的物理说明.     

Oscillatory diffuse scattering study by time-of-flight neutron scattering

The oscillatory profile of diffuse scattering of ordered crystal PbF₂ is observed by time-of-flight (TOF) neutron scattering measurement. The theoretical expression of diffuse scattering intensity including the correlation effects among the thermal displacements of atoms is used to analyze the diffuse scattering profile of PbF₂. The theoretical expression is effective for the analysis of the diffuse scattering data by the TOF measurement.     

Low-order light scattering in multiple scattering disperse media

Light scattering has been investigated in systems in which both single and higher order scattering occur. The Monte Carlo simulation technique for studying light scattering in randomly inhomogeneous, strongly scattering disperse media was employed. The reliability of the data obtained has been checked by comparing the results of the computer simulation with analytical calculations for the intensity of doubly scattered light. The first several scattering orders have been analyzed for different geometries of the optical experiment. It has been shown, in particular, that, depending on the detector aperture, the contribution of multiple scattering can vary by almost an order of magnitude.

     

Vortex scattering

The geodesic approximation to vortex dynamics in the critically coupled abelian Higgs model is studied. The metric on vortex moduli space is shown to be Kähler and a scheme for its numerical computation described. The scheme is applied to the 2-vortex system and the geodesic scattering compared with previous simulations of the full field theory. The quantum scattering is also analysed.     

Neutron-helium scattering

Relative differential cross sections of neutrons elastically scattered from ⁴He were measured at neutron energies of 0.55, 0.84, 1.16 and 1.33 MeV. The scattered neutrons were detected in a time-of-flight spectrometer for c.m. angles ranging from 25° to 161°. The relative differential cross sections are compared to curves generated from phase shifts published elsewhere.     

Resonance scattering and singularities of the scattering function

Recent studies of transport phenomena with complex potentials are explained by generic square root singularities of spectrum and eigenfunctions of non-Hermitian Hamiltonians. Using a two channel problem we demonstrate that such singularities produce a significant effect upon the pole behaviour of the scattering matrix, and more significantly upon the associated residues. This mechanism explains why by proper choice of the system parameters the resonance cross section is increased drastically in one channel and suppressed in the other channel.     

Multiple Rayleigh-Gans-Debye scattering in colloidal systems-dynamic light scattering

Equations for (depolarized) intensity auto-correlation functions including second order scattering contributions are derived. The equations obtained are quite similar to those for static light scattering¹). The geometry of the scattering system plays an important role here.An iterative procedure to correct correlation functions for double scattering is presented.Experiments on colloidal solutions containing latex and silica particles are performed, testing the theory and the iterative correction procedure for double scattering. We use cylindrical cuvettes with cylindrical incident and detected beams of radiation. The agreement between experiment and theory is found to be quite good, yielding a routine correction procedure for double scattering.     

高散射媒质中的光程可分割动态光散射研究

为研究散射光强度随光子在散射媒质中散射光程的变化,基于单散射理论与扩散波光谱理论,采用了低相干动态光散射装置对不同粒径大小的聚苯乙烯悬浮液进行研究。将测量得到的背散射光光场强度谱的线宽与相应的理论计算结果相比较发现,在短光程区域,考虑容器壁附近拖曳效应的影响后,对于不同粒径的颗粒,光程为约5倍粒子平均自由程的区域可看成为单散射区域;对于光程大于225 m的区域可看成为扩散光波区域。实验结果表明低相干动态光散射法可实现高散射媒质从单散射区域到低次散射再到扩散区域的全光程的可分割的光场强度谱测量。     

Non-coherent scattering

The paper is devoted to the consideration of the problems of non-coherent scattering in a spectral line for an arbitrary redistribution law. The representation of the redistribution function r(x′,x) in the form

$\text{r(χ′,χ) =}\text{∑}\text{k = 1}\text{∞}\text{A}{}_{\mathrm{k}}\text{α}{}_{\mathrm{k}}\text{(χ′)α}{}_{\mathrm{k}}\text{(χ)}$

is used to study the various mechanisms of line broadening. The form of representation plays an important role in this investigation. New methods for solving radiative transfer integro—differential equations, as well as the corresponding integral equations are suggested. The solution of integral equations involves factorization of matrix integral operators. The generalized classical problems of absorption-line formation in stellar atmospheres are formulated and solved (Shuster's and Eddington's models). The results of numerical calculations, carried out to the fourth order, are given for Doppler broadening.     

Positron-hydrogen-like-ion scattering

Scattering of positrons by hydrogen-like-ions (He⁺, Li²⁺, Be³⁺ and B⁴⁺) has been studied using two variants of the polarized orbital method. The positronium formation channel has not been included in the calculations,s-wave phase shifts obtained using the two variants differ appreciably from each other. Moreover, the polarized orbitals-wave phase shifts fore ⁺-B⁴⁺ scattering differ from the corresponding variational results qualitatively in the low energy region. The differential cross sections are reported.     

Exponentially small scattering amplitude in high energy potential scattering

The high energy scattering amplitude of spherical symmetric potentials, which are expandable in ascending even powers of r and are nonsingular in coordinate space, is calculated. The Gaussian potential, which serves as a prototype of these potentials, is dealt with extensively. The first Born approximation is completely inadequate to estimate the amplitude off the forward direction. We show that the amplitude decreases faster than any power law as function of the momentum transfer q, and thus in that respect is similar in behavior to that of elastic scattering of elementary particles. Essentially, the whole range of the scattering angle is covered. Some speculations concerning shrinkage and antishrinkage effects are briefly mentioned.     

Non-eikonal effects in high-energy scattering IV. Inelastic scattering

We calculate amplitudes of inelastically scattered high-energy projectiles. For the example of scattering on ¹²C (T_p = 1 GeV) we demonstrate sizeable non-eikonal corrections in diffraction extrema even for relatively small q². At least part of the anomaly in the 3-distribution may be due to these non-eikonal effects.     

Stimulated Raman scattering pulses. I. Weak scattering

Rate equations are used to compute a weak stimulated Raman scattering pulse in the case where the scattered radiation energy can be neglected in the over-all energy balance. Expressions for the shape, position and height of the maximum, duration, and spectral width of the scattering pulse as functions of the parameters of the driving laser, scattering material, and observation conditions are derived.     

Electron atomic scattering factors and scattering potentials of crystals

The concepts of complex electron atomic scattering factors and principles for evaluating these factors are discussed and their applicability is examined. Numerical procedures and routines for calculating these factors are described, and for 98 neutron atoms and 109 ions the real part of the electron atomic scattering factors were parameterized using 10 and eight parameters, respectively. Procedures for constructing two and three dimensional scattering potentials using the complex atomic scattering factors are illustrated with examples; effects of thermal vibrations of the crystal lattice are discussed.