Scattering matrix for Raman effect in cubic crystals

The scattering matrix for Raman effect in cubic crystals for any general orientation of the crystal and any angle of scattering is given. The averages of the matrix over all possible orientations is also given and checks with the well known value of 6/7 for the depolarisation of degenerate lines for transverse scattering. The scattering matrix for backward scattering in terms of polar angles and for some special cases are also given.     

海面的激光散射特性

 基于随机面元模型，建立了海面对激光散射的理论模型，详细分析了海面散射的退偏振特性。理论分析表明：除后向外其它方向的散射光都存在部分退偏振现象；但是浮于海面上或悬浮于海面的物体表面对激光散射所具有的退偏振特性明显不同于海面散射的退偏振特性。因此可以根据这些差异来遥感海面的漂浮或悬浮物体，该结论已经被实验证实。     

Threshold fields for stimulated Brillouin scattering in spatially limited plasma

Brillouin scattering in an infinite medium is anisotropic, in this case the threshold of absolute instability is caused by attenuation of scattered waves. If the collision attenuation mechanism prevails, the minimum threshold value is observed during backward scattering. For a scattering region limited in the longitudinal direction (parallel to the direction of pumping wave propagation), the backward scattering threshold will be greater than for an infinite medium due to convective loss associated with energy removal by scattered waves. In this paper, the scattering of a wide wave beam in plasma is considered, whose dimension in the transverse direction to the pumping wave propagation substantially exceeds the dimension in the longitudinal direction. It was revealed that in this case, during angle scattering the instability threshold can be less than the threshold for backward scattering due to the increased time of radiation removal from the interaction region. This effect was not taken into account previously. In turn, the decrease of the threshold leads to increasing the radiation loss, which is important in plasma heating problems. The results can also be used for plasma diagnostics.     

Boundary condition model for diffractive elastic scattering

Diffractive elastic scattering is studied by a boundary condition model that does not utilize a potential model.S-matrix elements are calculated and compared to those found from an optical potential model calculation. The unitarity of the model is related to the boundary condition imposed. A radially ingoing boundary condition is imposed on the wave function at one angle only, at a scattering angle of 180 °. This condition is required to hold in the vicinity of the nuclear radius, but not for all radii. Elastic scattering peaks at forward and backward angles are reproduced and discussed. The model is applied to composite particle scattering above the Coulomb barrier.     

晕核6He（25 MeV/u）的单、双中子转移截面测量

实验测量了25 MeV/u 的6He+9Be反应中的单、双中子转移微分截面. 利用反应耦合道模型初步分析了实验数据, 计算大体重现截面值. 转移反应对末态有相当的选择性, 并且双中子转移截面主要来自到基态的一步过程. 后角度截面的上升可能与连续态的耦合有关. Differential cross sections for quasi elastic scattering at forward angles and for 1n and 2n transfer reaction at backward angles induced by 6He at 25 MeV/u from 9Be target were measured. The experimental data were analyzed in the framework of the CRC model. The raise at backward angle of the 1n and 2n transfer cross section can not reproduced by the current calculation.     

沙尘气溶胶粒子群的散射和偏振特性

根据Mie散射理论,以对数正态分布函数描述沙尘气溶胶粒子群的粒径尺度分布,计算了沙尘气溶胶粒子群在0.2～40μm波段间对太阳短波辐射和地球大气长波辐射的单次散射反照率、散射相矩阵函数,揭示了不同相对湿度时,沙尘粒子群对入射辐射的散射和偏振的特征。结果表明,沙尘粒子群的单次散射反照率随着入射波长的增加有较大起伏,不同相对湿度条件下,变化趋势基本一致;在可见光、近红外波段单次散射反照率随湿度增加而变大,湿度95%时非常接近于1;大于10μm的热红外波段单次散射反照率随相对湿度增加而减小,具有较强的吸收辐射能力。散射辐射强度受湿度影响较小,随散射角的增加呈现先减小后增大的趋势,且增大的趋势随着波长的增加而减弱;不同波段上,线偏振和圆偏振随散射角和相对湿度变化存在差异;在前向和后向仅对入射辐射为圆偏振辐射产生圆偏振散射;散射光的偏振特性及其湿度差异主要表现在后向散射区,多以拱形形式体现。拱顶峰值散射角位置存在差异,且峰值散射角随相对湿度的降低向后向漂移。     

Proton spin relaxation and self-diffusion in some ‘isotropic’ nematogens

Angular distributions of reactive scattering arising from a long-lived collision complex dissociating via a transition state that approximates to a linear rotator are predicted for H atom displacement occurring over a distribution of bending angles β with respect to the rotator axis. A conical angular distribution may be generated when only a narrow range of bending angles contributes to the reactive scattering. However, the angular distribution may take on quite different character as the distribution of bending angles becomes broader. Thus, an isotropic angular distribution is generated by a bending angle distribution which follows the spherical polar weighting P(β) ∝ sin β. Forward and backward scattering is generated by bending angle distributions favouring less strongly bent displacement, while sideways scattering is generated by a bending angle distribution favouring more strongly bent displacement. The experimental angular distribution for OH + CO reactive scattering which shows mild forward and backward peaking, corresponds to a range of bending angles for H atom displacement from the H-OCO transition state which is broadened about the nominal preferred direction β = 45° but avoids strongly bent directions with β ≈ 90°.     

A practical cross-section for scattering from rough surfaces at very low grazing angles in both the forward and backward directions

In this paper we develop an extension of the small slope approximation (SSA) for scattering from randomly rough Dirichlet surfaces, which includes some multiple scattering. This extension is designated by SSA+. We focus on scattering at very low grazing angles where multiple scattering of both the incident and scattered fields is of importance. Numerical results for the SSA+ bistatic scattering cross-section for very low forward grazing angles are presented using the Gaussian roughness spectrum and for both very low forward and very low backward grazing angles using the Pierson–Moskowitz and modified power law spectra. The results are restricted to an angle of incidence of 80°. It is shown that when the lowest-order SSA gives reasonably accurate results, the SSA+ increases the accuracy up to at least the final 0.2° of grazing in the forward direction. In the backward direction, the SSA+ gives good results for the Pierson–Moskowitz spectrum, but the results are less dramatic.     

Quasiclassical calculation of the chemical reaction Ba+C3H7Br→BaBr+C3H7

The quasi-classical trajectory (QCT) method based on extended the London-Eyring-Polanyi-Sato potential energy surface is used to investigate the product vibrational distribution, angular distribution and angle resolved kinetic distribution of the reaction Ba+C₃H₇ Br→ BaBr+C₃H₇ at 2.58 kcal/mol. The calculated results show that the product BaBr vibrational distribution is quite hot, the vibrational population peaks are located at ν= 12, and the angular product distribution tends to backward scattering. The calculated angle resolved kinetic distribution shows that the kinetic distribution is obviously related to angle. The QCT results are always qualitatively acceptable and sometimes even quantitatively.     

含卷浪Pierson-Moscowitz谱海面电磁散射研究

海尖峰的存在会导致雷达虚警概率的上升和多目标环境中检测性能下降,因此研究海尖峰现象意义重大.海尖峰现象的一个重要特点是海面的水平极化散射强度接近甚至大于垂直极化散射强度,卷浪被认为是产生海尖峰的一个原因.首先建立了卷浪和Pierson-Moscowitz谱海面的共同模型,利用矩量法研究了卷浪模型的水平和垂直后向电磁散射特征,包括入射频率、入射角、风速和风向对电磁散射特征的影响.发现在小擦地角情况和较大风速下超级现象(水平散射强度大于垂直极化散射强度)比较明显,从而推论出在小擦地角入射下产生海尖峰现象的概率较大.同时对时变卷浪在小擦地角入射时的海杂波幅值分布特性和多普勒谱进行了分析.     

水中气泡上的体散射函数的模拟与计算

基于几何光学的基本原理,推导出一种可以计算水中大尺度气泡上光散射角度与强度的关系式。推导中避免引入衰减因子G,较Davis模型更为简单。该模型可应用于光在水中单个气泡上散射的数值计算。最后,模拟计算了平行光束入射水中气泡的体散射函数曲线,发现水中气泡的前向散射远大于后向散射;当气泡半径在远大于光波波长的前提下变化时,气泡上散射光强分布规律与气泡半径无关;而介质相对折射率的增大会削弱前向散射而增强后向散射光强。     

基于后向散射模型的蒸汽湿度测量及仿真

为了更加准确地测量出汽轮机末级蒸汽湿度,为锅炉给水量提供依据,促进汽轮机内部除湿技术的发展,采用了后向角散射法的思路设计了湿蒸汽参数测量模型,并对模型所需物理量进行了详细的计算,为后向散射法测量蒸汽湿度的研究提供参考。通过对模型进行仿真模拟以及实验研究,得到了后向散射光光强数据。通过对比仿真模拟数据与实验数据,验证了该模型的可行性与有效性,对光散射法测量蒸汽湿度的实验分析以及工程实践具有重要意义。     

Anomalous 3He scattering in the Ca region

Elastic ³He scattering on ⁴⁰Ar, ³⁹K, ⁴¹K, ⁴⁰Ca and ⁴²Ca was investigated at $\text{E(}{}^3\text{He) = 28}\text{MeV}$. A comparison of the scattering on neighbouring nuclei shows differences in backward angle cross sections up to one order of magnitude. This variation is clearly outside the domain of the standard optical model. This anomalous backward angle scattering is discussed in connection with similar anomalies observed in elastic α-particle scattering.     

紧聚焦条件下相干反斯托克斯拉曼散射信号场的矢量分析

在相干反斯托克斯拉曼散射(coherent anti-Stokes Raman scattering,CARS)显微镜中,共线传输的紧聚焦高斯光束激发具有不同形状和尺寸的待测样品所产生的CARS信号场的空间分布决定了整体系统的结构特点.建立了紧聚焦条件下球形样品产生CARS信号场的理论模型.利用矢量波动方程分析了紧聚焦条件下线偏振的高斯光束的光场强度和相位分布.利用格林函数求解该模型中CARS信号场的矢量波动方程,模拟计算得到了不同直径球形样品的远场CARS信号场的空间分布.理论分析和模拟计算结果表明,对于小体积的球形样品,前向和背向传输的CARS信号场强度接近,因此采用大数值孔径物镜背向探测方式即可获得高对比度图像.对于大体积球形样品,CARS信号场的强度大幅增强,且发射方向主要集中在前向的一定立体角内.因此,采用小数值孔径物镜即可有效收集前向传输的CARS信号.     

Transverse asymmetries at backward angles in G0

The backward angle phase of the G0 experiment has measured the beam-normal single-spin asymmetries in elastic scattering of transversely polarized electrons from the proton and made the first measurement in quasi-elastic scattering in deuterium at backward angles for Q²?=?0.22 GeV²/c² and 0.63 GeV²/c². The measurements were made at a lab scattering angle of 108° at beam energies of 362 MeV and 687 MeV respectively. Preliminary results for the proton are consistent with including ??N states in the calculation of the asymmetry in the resonance region. A preliminary estimate of the beam-normal single-spin asymmetry for the scattering from the neutron is made using a quasi-static deuterium model.     

高效率受激喇曼散射源

本文报道在有机溶液(CH₃)₂SO中,用宽带5314埃激光泵浦,得到强6296埃斯托克斯相干受激喇曼辐射的实验。在中等泵浦功率密度下,受激喇曼斯托克斯辐射前向波能量转换效率达38％,观察到了后向斯托克斯受激辐射,后向波强度是前向散射波强度的80％,测量了前向散射的增益为2.5×10^-3厘米/兆瓦,测量了前向、后向散射光束的空间分布。论证了后向散射光束方向性的改善。 关键词：     

Scattering of a Bessel beam by a sphere

The exact scattering by a sphere centered on a Bessel beam is expressed as a partial wave series involving the scattering angle relative to the beam axis and the conical angle of the wave vector components of the Bessel beam. The sphere is assumed to have isotropic material properties so that the nth partial wave amplitude for plane wave scattering is proportional to a known partial-wave coefficient. The scattered partial waves in the Bessel beam case are also proportional to the same partial-wave coefficient but now the weighting factor depends on the properties of the Bessel beam. When the wavenumber-radius product ka is large, for rigid or soft spheres the scattering is peaked in the backward and forward directions along the beam axis as well as in the direction of the conical angle. These properties are geometrically explained and some symmetry properties are noted. The formulation is also suitable for elastic and fluid spheres. A partial wave expansion of the Bessel beam is noted.     

黑松冠层反射光谱方向特征分析

松萎蔫病是松属树种的一种毁灭性病害，小范围甚至单木水平的森林病虫害的早期诊断对森林资源保护与可持续发展尤为重要。以感染松萎蔫病的黑松为研究对象，通过采集不同感病时期的黑松冠层的多角度光谱数据，分析不同特征波段的方向反射特征，总结不同感病程度黑松的冠层特征波段反射率的变化规律。结果显示：(1）在俯视观测时，在主平面方向的后向散射方向的反射率大于前向散射方向的反射率，并且在后向散射方向，四个波段的四个感病时期约在40°的观测天顶角出现热点效应；无论在主平面还是主垂面，蓝光波段（450 nm）与近红外波段（810 nm）的黑松冠层0°天顶角反射率呈现出感病初期＞健康＞感病中期＞感病末期的变化规律，红光波段（680 nm）和绿光波段（560 nm）的黑松冠层0°天顶角反射率呈现出健康≈感病初期＞感病中期≈感病末期的变化规律。在所有方位角，冠层反射率随着观测天顶角的增加而增大。(2）在仰视观测时，在主平面方向的后向散射方向的反射率小于前向散射方向的反射率，并且在方位角为0°时，4个波段反射率都是较大的；无论在主平面还是主垂面，蓝光波段（450 nm）绿光波段（560 nm）和红光波段（680 nm）的冠层反射率的大小呈现出感病初期＞健康>感病末期>感病中期的变化规律，近红外波段（810 nm）冠层反射率的大小呈现出感病初期＞健康>感病中期>感病末期的变化规律；在所有方位角，冠层反射率随着观测仰角的增加而减小。(3）黑松冠层反射光谱在俯视和仰视观测时，各个特征波段的二向性反射率的各向异性最强的是主平面，最弱的是主垂面，且主垂面的前向和后向反射率会呈现对称性，即“镜面反射”；各个特征波段在感病末期，黑松冠层反射率随观测天顶角的变化幅度较大，其他几个时期反射率随观测天顶角的变化幅度不明显。研究结果显示的树冠的不同角度的波段反射方向性特征为以后不同尺度的无人机监测的准确性与可靠性奠定基础，也为发展近地面便携式森林病虫害实时监测系统打下了基础。     

Analysis of collimated radiation in participating media using the discrete transfer method

A general formulation of the discrete transfer method is provided to analyze radiative heat transfer problems in a participating medium subjected to collimated radiation. The formulation is validated by considering 1-D planar absorbing, emitting and anisotropically scattering gray medium in radiative equilibrium. Anisotropy of the medium is approximated by linear anisotropic phase function. For the purpose of comparison, the problem is also solved analytically. Results are obtained for different angles of incidence of the collimated radiation. At a given angle of incidence, results are obtained for forward, isotropic and backward scattering situations. Heat flux results are compared over a wide range of values of the extinction coefficient. Emissive power distributions in the medium are also obtained for some cases. The discrete transfer method results are found to compare very well with the analytic results.     

Transverse beam spin asymmetries at backward angles in elastic electron-proton and quasielastic electron-deuteron scattering

We have measured the beam-normal single-spin asymmetries in elastic scattering of transversely polarized electrons from the proton, and performed the first measurement in quasielastic scattering on the deuteron, at backward angles (lab scattering angle of 108°) for Q2 = 0.22 GeV2/c2 and 0.63 GeV2/c2 at beam energies of 362 and 687 MeV, respectively. The asymmetry arises due to the imaginary part of the interference of the two-photon exchange amplitude with that of single-photon exchange. Results for the proton are consistent with a model calculation which includes inelastic intermediate hadronic (πN) states. An estimate of the beam-normal single-spin asymmetry for the scattering from the neutron is made using a quasistatic deuterium approximation, and is also in agreement with theory.