Cavity phase-shift error evaluation in a magnesium atomic beam frequency standard

In high resolution atomic or molecular beam spectroscopy, where the Ramsey interrogation method is used, one of uncertainty sources in determining the resonance frequency accurately is the phase-shift of the electromagnetic radiation in the cavity. This phenomenon, which depends on losses and asymmetries, is analyzed in a general way for a transverse atomic beam dimension much larger than the transition wavelength, a case which occurs in Mg or Ca beam frequency standards and the effects of different misalignments in collimated or divergent beams are examined. Numerical evaluations have been performed in the special case of an experimental Mg beam frequency standard. Divergence plays an important role in determining the cavity phase shift frequency error which is reduced about 100 times with respect to the case of a collimated beam.     

二维机械准直器准直光束的衍射

把入射光作为从不同方向入射的空间光,应用傅里叶光学的方法分析了通过机械准直器中一组不同间距的栅格挡光片的物理过程。建立了准直光束的理论计算公式,给出了采用数值方法精确计算准直光束的主要步骤和计算中应注意的问题,计算了空间频率分布。对于从各方向入射的光辐射,证明了机械准直器的准直性能,对于平行光入射,计算了通过机械准直器的光辐射衍射,衍射超出了准直器的几何阴影区,得到了准直光束空间频率的二维分布图形。与国外一维的方法相比,该方法更准确、快捷,计算结果与实验数据比较,更接近实验结果。     

Discrete ordinates solution of coupled conductive radiative heat transfer in a two-layer slab with Fresnel interfaces subject to diffuse and obliquely collimated irradiation

The coupled conductive radiative heat transfer in a two-layer slab with Fresnel interfaces subject to diffuse and obliquely collimated irradiation is solved. The collimated and diffuse components problems are treated separately. The solution for diffuse radiation is obtained by using a composite discrete ordinates method and includes the development of adaptive directional quadratures to overcome the difficulties usually encountered at the interfaces. The complete radiation numerical model is validated against the predictions obtained by using the Monte Carlo method.     

Creating a collimated ultrasound beam in highly attenuating fluids

We have devised a method, based on a parametric array concept, to create a low-frequency (300-500 kHz) collimated ultrasound beam in fluids highly attenuating to sound. This collimated beam serves as the basis for designing an ultrasound visualization system that can be used in the oil exploration industry for down-hole imaging in drilling fluids. We present the results of two different approaches to generating a collimated beam in three types of highly attenuating drilling mud. In the first approach, the drilling mud itself was used as a nonlinear mixing medium to create a parametric array. However, the short absorption length in mud limits the mixing length and, consequently, the resulting beam is weak and broad. In the second improved approach, the beam generation process was confined to a separate “frequency mixing tube” that contained an acoustically non-linear, low attenuation medium (e.g., water) that allowed establishing a usable parametric array in the mixing tube. A low-frequency collimated beam was thus created prior to its propagation into the drilling fluid. Using the latter technique, the penetration depth of the low frequency ultrasound beam in the drilling fluid was significantly extended. We also present measurements of acoustic nonlinearity in various types of drilling mud.     

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.     

锶热原子束二维准直的动力学过程的蒙特卡罗模拟及实验研究

在考虑随机因素的情况下, 应用蒙特卡罗方法在理论上详细研究了锶原子束二维激光准直的动力学过程. 综合考虑原子横向发散角、初始原子位置、纵向速度分布、同位素等因素, 获得了激光二维准直后的原子横向空间分布的模拟结果以及随准直光失谐、光功率等参量因素的变化. 通过与实验数据比较, 理论值和实验值很好相符, 显示蒙特卡罗方法可以精确地描述锶原子束二维准直的动力学过程. 为原子束激光二维准直的精确控制, 高精度原子钟系统的优化, 提供了一种理论分析方法. 关键词： 二维准直 蒙特卡罗方法 横向空间分布     

New developments in frequency domain optical tomography. Part I: Forward model and gradient computation

This two part study introduces new developments in frequency domain optical tomography to take into account the collimated source direction in the computation of both the forward and the adjoint models. The solution method is based on the least square finite element method associated to the discrete ordinates method where no empirical stabilization is needed. In this first part of the study, the solution method of the forward model is highlighted with an easy handling of complex boundary condition through a penalization method. Gradient computation from an adjoint method is developed rigorously in a continuous manner through a lagrangian formalism for the deduction of the adjoint equation and the gradient of the objective function. The proposed formulation can be easily generalized to stationary and time domain optical tomography by keeping the same expressions.     

非全息衍射投影（英文）

提出了一种无需全息计算和相干照明的衍射投影方法和投影系统,利用非相干的准直LED光源和傅里叶变换透镜取代全息迭代计算获得被投影图像的空间频谱,再利用空间频谱在自由空间中的瑞利索墨菲衍射实现了小投射比、无限景深的图像投影.详细推导了投影方法的成像过程,解析了投影系统的强度脉冲响应函数.实验搭建了一套非全息衍射投影系统,对投影过程中产生的像差和亮度不均匀进行矫正,获得了无相干噪音的高品质衍射图像,实现了投射比为0.87的无限景深的衍射投影.在相距大于800 mm的不同深度平面上同时获得了清晰的投影图像,从而验证了方法的可行性.该投影方法和系统在球幕投影、任意曲面屏幕投影和增强现实投影等领域具有潜在的应用.     

各向异性介质辐射特性参数联合反演

本文基于BP神经网络方法结合蒙特卡洛和BEER定律辐射传输模拟方法建立了联合反演各向异性散射介质的辐射特性参数模型。首先采用半球透射率结合半球反射率反演模型反演了各向同性介质的吸收系数和散射系数,在此基础上增加准直透射率,建立了联合反演各向异性介质的吸收系数、散射系数和散射不对称因子三参数联合反演模型。反演结果表明该模型能准确反演出介质辐射特性参数,具有实用意义。此外,为了检验测量误差对模型的反演准确性的影响,分别在不同程度测量误差情况下进行反演,结果显示测量误差对散射不对称因子反演值影响较大。     

激光驻波场形成Cr原子沉积纳米光栅的初步实验研究

利用激光驻波场会聚原子沉积纳米结构的技术可以用来研制纳米结构长度传递标准.当激光驻波场的频率大于原子的共振频率时，原子由于受到偶极力的作用将被会聚到驻波的波节处.采用了一种新的技术方案减小了实验对大的激光功率的要求.利用激光驻波场会聚准直性较好的Cr原子，并使其沉积在硅基片上形成纳米光栅结构.经原子力显微镜测试表明纳米光栅的周期为215 nm. 关键词： 激光偶极力 纳米计量 原子沉积 蓝失谐     

PGP成像光谱仪的全视场自动化光谱定标方法

为了对PGP成像光谱仪所获得的光谱数据进行定量化分析,需对PGP成像光谱仪进行光谱定标,以获得各光谱通道的中心波长、光谱分辨率及成像光谱仪的光谱弯曲等光谱特性信息。采用单色准直光法设计了一套全视场自动化的光谱定标系统,系统中引入球面镜为待测的成像光谱仪光谱定标提供准直光,通过可自动控制的折转镜改变定标入射光线的入射角,以此实现待测成像光谱仪空间维不同视场的自动化光谱定标。运用该定标系统对PGP成像光谱仪进行光谱定标实验,得到该成像光谱仪的光谱性能参数,并结合定标系统的结构特点,对实验的结果进行了精度分析。实验分析结果表明该系统对PGP成像光谱仪的中心波长定标精度达到0.1 nm,光谱分辨率定标精度达到1.3%。该研究设计的全视场自动化光谱定标系统具有结构新颖紧凑、通用性较强、光谱定标精度较高等特点,且由于自动化的控制,避免了由于人为参与定标过程所带来的额外误差。该系统可用于实现PGP成像光谱仪及其他同类型成像光谱仪的光谱定标。     

用蒙特卡罗方法研究生物组织中的光分布

本文利用蒙特卡罗方法研究准直光束通过生物组织时其内部光吸收剂量分布的特点．计算模型设定的条件为：组织与其边界折射率不同、组织为纵向有一定宽度的层状结构．理论的计算模拟结果已同组织模拟体的实验结果作了比较，两者能较好的吻合．     

Optical detection of mechanically damaged areas on manufactured metal parts by spatial frequency filtering

An inspection of mechanically damaged areas on manufactured metal parts is necessary to produce high-quality products. A scanning probe on a sample is necessary for a conventional surface inspection system, which is time-consuming. We propose a novel high-speed detection method for defects on metal surfaces with rolling indentations. To obtain a large field of view in a measurement, we used a laser sheet that was expanded with a laser line generator and also used an expanded collimated beam, rather than a small laser spot as used in conventional techniques. Furthermore, we used an obliquely incident laser beam to suppress the effect of the rolling indentations surrounding defects, and also applied spatial frequency filtering to extract only defects. The spatial frequency filtering under oblique incidence is theoretically explained and defect extraction was investigated in experiments.     

LED准直器设计中复合抛物面同步多曲面方法

利用非成像光学中流线法和同步多曲面(SMS)法,设计一种具有发散角小、均匀度好和光效高的LED准直器。设计中由复合抛物面(CPC)完成初级配光,将朗伯光源±90°的发散角缩小到±45°,再以SMS法设计的多重自由反射曲面实现准直均匀配光,并由光学扩展量给出准直器的理论光效,最后引入平顶宽度、平顶光效和平顶均匀度等的定义,以更好地反映准直光束质量。光学仿真结果表明,准直器的发散角小于±2.26°,整体光效达到0.79,理论与仿真光效的误差小于2.5%,在0.9平顶宽度范围内光斑均匀度大于等于0.9,平顶光效为0.56,效果良好。     

Effects of polarization on radiation absorption in one-dimensional semitransparent slab exposed to collimated irradiation

The internal distribution of radiative absorption in one-dimensional semitransparent slab exposed to collimated irradiation is determined by the ray tracing method, and the detailed computation formulae for the distribution of radiative absorption are deduced. It is found that the ray will be polarized by specular reflection of slab boundaries even if the collimated irradiation is unpolarized, and the extent of polarization increases with the internal reflection times. The effects of polarization on the radiative absorption are analyzed and the radiative absorption distributions are compared with those obtained from the case in which the effects of polarization are omitted. The results show that the large differences between reflectances of perpendicular and parallel polarized components are the main causes resulting in errors of radiative absorption distribution. The polarization of incident beam has significant influences on the radiative absorption. Even for an unpolarized beam irradiated near Brewster's angle, omitting the effects of polarization will result in large errors, and the errors increase with the refractive index.     

DRESOR法对平行入射辐射问题的研究

本采用一种基于蒙特卡洛法(Monte Carlo Method,MCM)求解辐射传递方程(Radiative Transfer Equation, RTE)的快捷、有效的方法-DRESOR法(Distributions of Ratios of Energy Scattered Or Reflected)在一维充满吸收、各向同性散射介质平行平板中,外部有平行入射条件下,求解计算空间点的辐射强度沿空间方向角的分布,而不需要辐射平衡和在空间位置坐标和方向角度坐标上同时离散辐射传递方程进行迭代求解。     

快速实现矩形准直光束的高集光效率LED透镜设计

为了实现LED矩形准直光束,提出一种快速构建高集光效率LED透镜的设计方法。基于分步法、边缘光线定理和几何光学定律,分步设计两个自由曲面轮廓线,快速获取两个自由曲面并构建透镜。结果表明:当LED距透镜内曲面尺寸与LED尺寸的比值为6时,系统的半峰全宽为2.3°×1.15°,集光效率为82.6%,可以有效地实现矩形准直光束。随着比值的增大,透镜的尺寸变大,但是半峰全宽变小,透镜集光效率变高。根据设计参数加工了透镜并对仿真结果进行了实验验证。该方法为实现LED矩形准直光束提供了一种有效途径。     

基于波长移相剪切干涉的准直波前重构技术

为了实现干涉仪出射准直波前的重构,提出了基于波长调谐移相的横向剪切干涉技术。干涉仪出射波前分别经楔板的前后表面反射,通过角锥棱镜返回后在干涉仪CCD上形成剪切干涉条纹。采用波长移相方法提取剪切干涉条纹的相位信息从而实现准直波前重构。分析相对剪切比对波面重构精度的影响,推导相对剪切比和其影响因素间的关系公式,给出波长移相中光程差常数分量的估算方法。测量干涉仪的三组出射波前,波前的峰谷值分别为3.22λ、2.10λ、0.83λ。该方法简化了传统测量干涉仪准直波前的横向剪切干涉装置,提高了测量精度,特别适合于测量波长移相干涉仪的出射波前。     

Laser drilling of thick material using femtosecond pulse with a focus of dual-frequency beam

Laser drilling is one of the basic, most frequently performed, material removal processes. The drilling aspect ratio is theoretically limited by the size and the focal depth of the machining laser spot. The aspect ratio can be improved by using dual focus. In this paper we describe a focus of two different frequencies based on the longitudinal chromatic aberration arisen when polychromatic collimated light is incident on a positive lens element. In the experiments, a Ti:Sapphire laser of 800 nm wavelength and 150 fs pulse duration was used as a source. Two tightly focused laser spots few hundred micrometers apart from each other were formed by focusing a combined collimated laser beam which contains the fundamental optic frequency and the second harmonic optic frequency. The focus of dual-frequency beam was used to drill a 3 mm thick PMMA plate. The drilling aspect ratio of a dual-frequency beam was compared to that of a focus of single frequency beam. Experimental results reveal that dual-frequency beam increases the aspect ratio and improves the drilling quality in terms of profile of the produced features.     

任意入射辐射条件下介质特性对瞬态辐射传递的影响

用基于Monte Carlo法的DRESOR法在平行平板系统内具有吸收、无发射介质中研究不同波形入射、壁面反射、介质散射率、光学厚度、各向异性散射等条件对瞬态辐射传递的影响.任意连续波形入射辐射是目前大多数数值方法很难处理的瞬态辐射问题,而DRESOR法通过在系统内计算一单位入射辐射能对介质的DRESOR数分布,就能计算任意连续波形入射辐射条件下高方向分辨率的瞬态辐射强度结果.DRESOR法和Monte Carlo法计算的结果进行了比较验证,两者吻合较好,证明了DRESOR法处理瞬态入射辐射问题的正确性和有效性.